{
"cells": [
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"metadata": {
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"Rank Filters for Image Processing\n",
"=================================\n",
"\n",
"*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes.\n",
"$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n",
"$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n",
"$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n",
"$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n",
"$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n",
"$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n",
"$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n",
"$\\newcommand{\\norm}[1]{\\|#1\\|}$\n",
"$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n",
"$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n",
"$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n",
"$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n",
"$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n",
"$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n",
"$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n",
"$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n",
"$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n",
"$\\newcommand{\\CC}{\\mathbb{C}}$\n",
"$\\newcommand{\\RR}{\\mathbb{R}}$\n",
"$\\newcommand{\\EE}{\\mathbb{E}}$\n",
"$\\newcommand{\\Zz}{\\mathcal{Z}}$\n",
"$\\newcommand{\\Ww}{\\mathcal{W}}$\n",
"$\\newcommand{\\Vv}{\\mathcal{V}}$\n",
"$\\newcommand{\\Nn}{\\mathcal{N}}$\n",
"$\\newcommand{\\NN}{\\mathcal{N}}$\n",
"$\\newcommand{\\Hh}{\\mathcal{H}}$\n",
"$\\newcommand{\\Bb}{\\mathcal{B}}$\n",
"$\\newcommand{\\Ee}{\\mathcal{E}}$\n",
"$\\newcommand{\\Cc}{\\mathcal{C}}$\n",
"$\\newcommand{\\Gg}{\\mathcal{G}}$\n",
"$\\newcommand{\\Ss}{\\mathcal{S}}$\n",
"$\\newcommand{\\Pp}{\\mathcal{P}}$\n",
"$\\newcommand{\\Ff}{\\mathcal{F}}$\n",
"$\\newcommand{\\Xx}{\\mathcal{X}}$\n",
"$\\newcommand{\\Mm}{\\mathcal{M}}$\n",
"$\\newcommand{\\Ii}{\\mathcal{I}}$\n",
"$\\newcommand{\\Dd}{\\mathcal{D}}$\n",
"$\\newcommand{\\Ll}{\\mathcal{L}}$\n",
"$\\newcommand{\\Tt}{\\mathcal{T}}$\n",
"$\\newcommand{\\si}{\\sigma}$\n",
"$\\newcommand{\\al}{\\alpha}$\n",
"$\\newcommand{\\la}{\\lambda}$\n",
"$\\newcommand{\\ga}{\\gamma}$\n",
"$\\newcommand{\\Ga}{\\Gamma}$\n",
"$\\newcommand{\\La}{\\Lambda}$\n",
"$\\newcommand{\\si}{\\sigma}$\n",
"$\\newcommand{\\Si}{\\Sigma}$\n",
"$\\newcommand{\\be}{\\beta}$\n",
"$\\newcommand{\\de}{\\delta}$\n",
"$\\newcommand{\\De}{\\Delta}$\n",
"$\\newcommand{\\phi}{\\varphi}$\n",
"$\\newcommand{\\th}{\\theta}$\n",
"$\\newcommand{\\om}{\\omega}$\n",
"$\\newcommand{\\Om}{\\Omega}$"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"This numerical tour explores non-linear local filters that proceeds by\n",
"ordering the pixels in a neighboorhood and selecting a given ranked\n",
"entry."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"options(warn=-1) # turns off warnings, to turn on: \"options(warn=0)\"\n",
"\n",
"\n",
"library(imager)\n",
"library(png)\n",
"\n",
"for (f in list.files(path=\"nt_toolbox/toolbox_general/\", pattern=\"*.R\")) {\n",
" source(paste(\"nt_toolbox/toolbox_general/\", f, sep=\"\"))\n",
"}\n",
"\n",
"for (f in list.files(path=\"nt_toolbox/toolbox_signal/\", pattern=\"*.R\")) {\n",
" source(paste(\"nt_toolbox/toolbox_signal/\", f, sep=\"\"))\n",
"}\n",
"\n",
"source(\"nt_toolbox/toolbox_wavelet_meshes/meshgrid.R\")\n",
"options(repr.plot.width=3.5, repr.plot.height=3.5)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Continuous Rank Filtering\n",
"-------------------------\n",
"We consider an image $f : [0,1]^2 \\rightarrow \\RR$.\n",
"\n",
"\n",
"For any $\\beta \\in [0,1]$, we define the rank filter\n",
"$\\phi_\\be^B$ of order $\\beta$ associated to a set $B$ to be\n",
"$$ g = \\phi_\\beta^B(f)\n",
" \\qwhereq\n",
" g(x) = \\inf \\: \\enscond{t \\in \\RR}{\n",
" \\mu( f^{-1}(]-\\infty,t]) \\cap x+B ) \\geq \\mu(B)/2 }. $$\n",
"where $\\mu$ is the Lebesgue measure on $\\RR$.\n",
"\n",
"\n",
"One usually assumes that $B$ is the ball of radius $\\epsilon>0$\n",
"$$ B = B_\\epsilon = \\enscond{x}{\\norm{x} \\leq \\epsilon}. $$\n",
"\n",
"\n",
"When $\\be=0$ (resp. $\\be=1$, resp.\n",
"$\\be=1/2$), then $g(x)$ is the miniminimum\n",
"(resp. maximum, resp. median) value of $f$ in a small neighboorhood of\n",
"radius $\\epsilon$\n",
"$$ \\phi_0^{B_\\epsilon}(f)(x) = \\umin{\\norm{y-x} \\leq \\epsilon} f(y), $$\n",
"$$ \\phi_{1/2}^{B_\\epsilon}(f)(x) = \\umax{\\norm{y-x} \\leq \\epsilon} f(y), $$\n",
"$$ \\phi_{1}^{B_\\epsilon}(f)(x) = \\underset{\\norm{y-x} \\leq \\epsilon}{\\text{median}} f(y). $$\n",
"\n",
"\n",
"The operator $\\phi_\\beta^B$ is contrast-invariant, meaning that it\n",
"computes with increasing functions $ \\psi : \\RR \\rightarrow \\RR $\n",
"$$ \\phi_\\beta^B \\circ \\psi = \\psi \\circ \\phi_\\beta^B. $$\n",
"The axiomatic study of contrast invariant operator was initiated in the\n",
"comunity of mathematical morphology, see [Matheron75](#biblio), [Tukey77](#biblio), [Serra82](#biblio).\n",
"\n",
"\n",
"Note also that there exist generalization of rank filters (and in\n",
"particular the median filter) to vector valued images\n",
"$ f : [0,1]^2 \\rightarrow \\RR^d$. Since the notion of rank does not\n",
"exists anymore, one has to rely on variational caracteriation of the\n",
"median, see for instance [CasSapChu00](#biblio).\n",
"\n",
"\n",
"The medial filtering is the most popular rank filter.\n",
"It is particularly efficient to remove impulse noise,\n",
"see for instance [Piterbarg84](#biblio), [FanHall94](#biblio).\n",
"See also [AriasDon99](#biblio) for a theoritical analysis of median\n",
"filtering and of a two-stage iterated version.\n",
"\n",
"Patches in Images\n",
"-----------------\n",
"We apply rank filters to discretized images by interpreting them as\n",
"piecewise constant functions.\n",
"\n",
"\n",
"Size $N = n \\times n$ of the image."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"n <- 256"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"We load an image $f_0 \\in \\RR^N$."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"f0 = load_image(\"nt_toolbox/data/hibiscus.png\",n)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Display $f_0$."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
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"outputs": [
{
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/LK/C+GTu3TYan59Jn67nP+vJhmay0kKDbOYtOUZs9X48u74WXEzpV2wK3TfmAv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\ne+edd/7+7//+7OwMPe3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AQrGrLhp1/Y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WO3369IcffqghLR867xs86ibwJK852M3c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",
"text/plain": [
"Plot with title \"\""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"imageplot(f0)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Noise level $\\si$."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"sigma <- 0.04"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Generate a noisy image $f=f_0+\\epsilon$ where $\\epsilon \\times\n",
"\\Nn(0,\\si^2\\text{Id}_N)$."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"f <- as.cimg(f0) + sigma*as.cimg(rnorm(n**2))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Display $f$."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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cILBoMB8hHUJOhjKQckgvBm5uuwtiduBFXNcrnc399nGB+NRuhICFbCMRaPxy8u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\nINAF/j+A9NybkIp59gAAAABJRU5ErkJggg==",
"text/plain": [
"Plot with title \"\""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"imageplot(clamp(f))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"For simplicity, we consider the case where\n",
"the set $B$ is a square of $w_1 \\times w_2$ pixels.\n",
"where we denote $w$ to be the half width of the patches,\n",
"and $w_1=2w+1$ the full width."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"w <- 3\n",
"w1 <- 2*w + 1"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"We define the patch extraction operator\n",
"$$ p = p_x(f) \\in \\RR^{w_1 \\times w_1}\n",
"\\qwhereq \\forall -w \\leq s_1,s_2 \\leq w, \\quad p(s) = f(x+s). $$\n",
"\n",
"\n",
"We now define the function $\\Pi(f) = (p_x(f))_x $\n",
"that extracts all possible patches.\n",
"\n",
"\n",
"We set up large $(n,n,w_1,w_1)$ matrices to index the the X and Y\n",
"position of the pixel to extract."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"grid <- meshgrid_4d(1:n, 1:n, (-w):w, (-w):w)\n",
"X <- grid$X ; Y <- grid$Y ; dX <- grid$Z ; dY <- grid$S\n",
"X <- X + dX\n",
"Y <- Y + dY"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"We handle boundary condition by reflexion."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"X[X < 1] <- 2-X[X < 1] \n",
"Y[Y < 1] <- 2-Y[Y < 1]\n",
"X[X > n] <- 2*n-X[X > n]\n",
"Y[Y > n] <- 2*n-Y[Y > n]"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Patch extractor operator $\\Pi$."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"I <- (X-1) + (Y-1)*n\n",
"for (i in 1:(n%/%w)){\n",
" for (j in 1:(n%/%w)){\n",
" I[i,j,,] <- t(I[i,j,,])\n",
" }\n",
"}\n",
"\n",
"Pi <- function(f){ array(as.vector(f)[I+1], c(n,n,w1*w1)) }"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"We store the patches $\\Pi(f)$ as a $n \\times n \\times w_1^2$ matrix $P$\n",
"such that, for each pixel $x$, $P(x)$ is a vector of size $w_1^2$\n",
"storing the entries of $p_x(f)$."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"P <- Pi(f)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Display some example of patches."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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QcAEELYAQCEEHYAACGEHQBACBcUP+eqq66qphUrVlTTj3/842o66aSTqmlsbKxx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\nRU5ErkJggg==",
"text/plain": [
"Plot with title \"\""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=7, repr.plot.height=7)\n",
"\n",
"for (i in 1:16){\n",
" x <- sample(1:n, 1)\n",
" y <- sample(1:n, 1)\n",
" imageplot(array(P[x, y,],c(w1,w1)), '', c(4, 4, i))\n",
"}"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Linear Filter\n",
"-------------\n",
"A linear filter (convolution) can be computed using this patch\n",
"representation as\n",
"$$ g(x) = \\sum_{i} \\la_i p_x(f)_i. $$\n",
"\n",
"\n",
"In the case where $\\la_i=1/w_1^2$, this\n",
"defines the mean value inside the patch:\n",
"$$ g(x) = \\frac{1}{w_1^2} \\sum_{i} p_x(f)_i. $$"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"Pmean <- function(f){ array(apply(Pi(f), c(2,1), mean), c(n,n)) }"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Display it."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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PaiUkkcUIPQBRlgNzkpbYyCSe4nP+bF\n/Zt6Mn4EBQo/8OUHI3t5eYECC7zb7XZM5wrmIcIW2BBj6KAFI3ECOjUrrHGdP1xpRLoqmWHa\nW8W4j/DOWmjT9qsEr5hASZWstfV6fb1en56ezuczLwfzhUpOTkchVJXWNFndGQpB+QbVYRXl\nq+eBJHG82sel8XT29AOgSEdbJO6uhsUi6W5Z4p/nLAPsJidgdvidu4ApBItpSaLa+iXpRTVf\njag18vLygtT9r1+/Ipt1vV6DoIHyZIkmg34KBlRrRUAJhcbBLJHAWIQIpAA9JP9Cn9mlIk4P\nooAuZvOoWpzGpAjcV410uv6V1NyllClvDW8Merter1H6VB0LC68mUMSxwzHeJY+FCMirVKnP\nkvrGfJLqOiyVXH6xTIgwB6LfG06diQ2RTwqihVJoAGF/hhprA+wmKFwnqqkx3koXHv6URKyr\nWwcdBxa65+fn3W7HWnIENS6/3qJE2gJiyEJD7MxdEjaT51eYx8GpxqedrOJGqF6jtLqXI6iK\n2jH+0KbUAqiTRlSirZOaLG2UJrZRvR3CodE3Ajfsejr5WYSO0fDtUbDDX9lhZa89bezfCg4w\nS5pEmFi9iqg6mJ0NsJugEAhUl6GR2yQviqs0t25NNkXDPPRWgB1iTbhEcSYXIRcerITm5MvE\nkE8EITEh10ii1gVlEDfK7pGwNiBDFzmRIgB39irwYXL4O7X6u65wtEk8orqtJFGnjtjRQ21t\nQ96SeCS0A5rpFTAoYJOSOxODJjugcBYGGJ47HwpPqGL5nbkMsJuchC8/BAoXY3qtZTS61Plm\ng9AB4373u9+9vLzANUHjDsOywHfIqqhtmauTrLqBPpjo1HfZ5cBcdQqeSv2tcMD1WVq/swn6\nMFzu7vvg0C0T7q6USlc4pwvWRoS/QIU/nU4aC6JzyFA1kjKF4OSxHdVjs4l6VSg5HB1qakAn\nadasHiwZRt2DXf+GcMIDxOtpTNdTh8lsZYDd5KR2+ksV07UiSJKYUr76qivBMLd1gYVOPRjE\nCA3R6glRD3YQwkRgiAuvYmJdfC9v8ZDvVLE/mgCfnsPuqa0wdJiX6ISYVLhiWXk6vlOrxibX\n/hRK2JSiFc/pH5w+vuQZclliUIitSpOtzZEIw6+tfSOMV3/rbA+bnQ2wm6Ao4lSJNatiy+Mb\nzN88Uxck7FOIwMI618Z7HXbRlroDnSylsDJSFdu/fbCvRZZiJFXSPFTjq6JqWZvaxX/5pyDF\nBf9NrXzUVPH44WDXTy3TTC1HC0ZA8jsyOI5L0fyjzjN8koHf+uyyhE9ai5LVzQj6evCpUYnu\nPx7WQfCcZYDd1CWsRi6AYBQPXCb7Vl6sJMwtKQI4kgsQIhWMYLnT8sg9+pi7QbQP2jgpWPhr\nGNfDsWuH2auAd9qxjy5PrVaYpYQJLyRq9GS5+PYaZKm9i0C/E+HBmaAYgZKNm6S49vMDCX1T\nNTaotFW4f5WP5ZABdpMTqIrBFq5JYNUVmez1zXlydd0WMWVfvnx5fn5+fn7+8uUL+Z2imy4h\nMJ3tdmuyv8/xeMS2qoQDtGDtvlbsoYkpSi2PyFvKbXki0hatVaWYWEWrTbJVIP0n+gGg7pza\nHSQCsLL88na7xXba+/1e+5zcRautAe80P1+dEvqdWEgRwPv9jo1otdvViwZSeHkS3Tmo+bkN\nWk6yzRCleHg2u6RR0P/jL+rfnQywm5woadIvNhFNUYCMg8qjMhcG03GfVjWHB0pC7EM3ksS7\nMcertImiD8mU0iIFVp7AG1FfI+rpkBXI7rJTKrEyNMsftSWYeqR4zXqGxak7Rf0kyhz7pxPm\nmWi18O3AkwcY5pz75DN9Cr1XXU/Qx6Gu5JSSBg8pwqoaXrvNieYsA+wmJ0Wy0BWM9AT+0O+/\n4kvylADNe2ULijhq9OEiwWkEGqJSYEnUT3mJ2pUURxS+U2ddqqKH1g90UmtD4fQgtVqAS4Dv\nJKplkeR51kFBP5X7KECQhTH6R13AWTYPIvqQ/5ZSlr6j7t3LpZhUuyKD1jlRkFLIY43owOx6\njqnfyH62ZysD7CYnsJHRJFe6vPqwGO5SdgmCFcXsKIQQ81quNxxJrU0HJ2hBSgIB7ruQZFie\nX2u93W68C4RGrkA5a+t1qa0aW4W0EqGS67B6FVEg0D1rPxKpVYer13xWHwXaUbOm2g0QwHG7\n3d7f38/nM5Tf7C7d7XaLOUH4ztL31dVRaLRd8rqBOH44HLhvnNI9xT4OxxzsTGoccMIV3LN4\neIukkcxZBthNTlT1UCOXdf61e7fDCxvhVz17EG9tTX4mmmASHbC0UWyly+XQ9k0MZNTXuCZz\nF3SmGMcfATdTp672dI+3DpxUB9gfrEI/s2zlxehCmDXNAaW6kxSAiOxgtHC9XvVy1SiZaUec\n1Y8Tp05NeEzmZw+VEZc2HoUTy8fNeQtnmhlSPgbYQQbYTVHCOg+IoEJNVg3Y2aMriAX0D5g4\n/orHQCj0KNJVCeUjgphgDdfz3TPPlVmkVudVzLKOUeo5DzUvvVb7rD3hf/spJe6YqMOcK5wD\nZoffinqgadmrQtVaT6eTgh3b4YSHWTLZfghnYsbw7/l8Xkg6hw5Eawta96HSqSCYZokJT+7o\nGGBnA+wmKFweVYqpqSKjSEediBAWbHDV93MwMT/pajRZ/AQ7tQbmNh6VLhFrYYXkIqCzdbbF\ncEfrEFznoUg0tToQkkgYsjI+vQWbShJ6wpL05ts44ARusoF8u+x1jHHm4XAI3DAgXYDj8HB5\nI/iUs9SYMiHpyUsq0LBAXOO47lLgpEoAYJWKLAPsIAPsJicEKZM0WPxpIfsc6ifdBIOy73ST\nRCfFS09wtBYsTLwNd99KAoZzc3bDlXb3vF1rA1arOx/RGZaN4gpUD0AwqOMgMXHRFlvGSBlF\nERhcak31yZ3IbJB+kruXPsb8oLQBskpwFUu/EOxSSkhBWS6XMEpiU6HqcSrBP2AfYGs/FgIu\ntxhfrVY0tpKV81t1vV6PxyN3+VC8q2L3qMLxTVLl0iO2OzcZYDc5UdZG4CNvUnQI55c2SyF9\nHAWiqu6iTTgLDAurBf8qycKP0Bldxqp2JTHJa58DOlgbW6s3KrIlKzkLEUehkxcW2UK7to7j\nJJ5TSOhGGCznDSawWiuiEVPnb9Gp0M7wIbJxAh/dCIqzyF/GowHYXS4XjoUfv9wGA+kchmc0\nwM4G2E1W+tWr//YoowjVQ4Dqntkt8az72GdN6e9AwfQuOLjwaF4lGqq69hgUFGG9y0cTcm/3\ntdCx85OgPbcWcYIeTSWUgdYkR2Rh+qVRe0LOebVa8eTgTTKxlCUhdDoPd6mtzzbJJUE5+UEC\nTV4sFiyXz100SeIw29Yl8AXDxcxlgN3kJHlsgYkHM4AdT1MqlyXANbUhwQz+QgV2lnXTq7iq\ne/saf1cpQ6K9VZpGFTI5tWSv2P8qBrjkgf46UjZOtmItYCmOFC9D0rPFKuEpZsbiLuv1upRy\nuVwA9NzY2wTmyGe5bQ1Z4W63ow+HAXT6VQgGxDCZVZyz1b1A1D2XsgPsZrMxD73MOe/3ewTu\nhQ6bJLRQFp7T0n8h5ikD7CYnWSpHKlVRfAmLKovrk5RK6RWVVpYGUCdjfhSSyvtaS3Osw9wk\nSiX3QrR2S9OwyLUFE/gjMPXAx6GZpJSmjt7qj3CCYhltbfiTWjZNIMnch8DftY00ZpfYst6o\n70wVHTy1bCt3MTS8KnsYIMu0hMbDAwovSRq0zswG2E1QoMVQWwlvsz0KUFChn4FgZ21kGXRY\njadVFMie9M41yfWJ2wVlkCf0qzSAnbI5UqEw9nBQO0aKx0nol3e4UDuc2uT/ZbuRYxhX+Mww\nLpo/VEkPXQ1PpH9SehfCn86/TqM+/YWXsVksFky60DeEj2Ph22/3fZizDLCbnCAo/36/qy1J\n31pKCN3iOlGCwzPVREVJHoJPRkNMqZ6hiV4p5+IaU1VUQa2KQyBLKCxbDmii/3KYPffhiMKM\n8Y6KJllidCEfzUNuo3OzxPdYawVTlzTpMxvXGynY8SD7ozqsDjxcVcXEycmkT8lcxdZbcKoJ\n7tYFnM9WBthNTl5eXr5+/Xq/3y+Xy9vbGwKs8CUPSEeAy235E5zPlblcLrETNlLHkN4EmCNi\nMtYs5xx8f+p8UPizlndkr85CpY+RKwzQJY6oQhooG+EytV7d2u5+jXsFRAssGBPCnvOTQNSA\nYEuKJBG8yeMTYSAjXtNeGciUSX12awN6FWUWsvVPQHyT4CGidq0VG/US+lETf7fbYSyXy4Xz\nlsXns2j3/Rm0DjLAbnIC8zlMSNzOuY+EUGoQLPe1i0ZmRQDgXfbEci4MrHbzLeu5Tj7S1yi6\nYpMY9fWvekL6wN+iouhJ5AqYqG32c6gt6JEkW/CYuFaxC+JdavYVifUxobQmBAotB9IU/qoE\nto/sxeToJ4TDzBKcmNw6wa8XOlzbMBT9EOLH3avFDLyzAXYTFNjs7r5l4uVywdYTXDbkUOp7\nxX/NFypCT8lTWOFDI8tUj2MEPz2z1W1VSuWUyxDIiIlJFO3w116NCnpcka2yA+VJItZBpPK4\nwDp55kOAJnJhZkCj7m0tqeI7xprQRt734Q/tZ5gTzkxu02DD0Hityc5ntGbknFFbn1ZXHUt2\n93c/0iED7CYnq9Xq+fkZb/lut0Mmw+l0YuoCA33ptMWF1aPt7/c70i1p8dlut7vdDk5YbkOh\nBiBowWbGdPdaK3C251A96AAWaTRM7aaoSJvnUiQwcSnqijWxzdXWeN+TFL0WqLqQsiXZMxCq\nR9VgDu9eUxPaekoJYHc8HnO7/Y0JeJlo4qozKgHkv1myiTnkRZsA24/FOhdNj1M5591uZx5w\n9/z8DKvF5XJhg8HsaCP6xMwG2E1QkhTRBAwhfVK1mOqllqwN5dW0Vo2YA1tkCPHC085ym3Fh\ngmj06pqsTK58ApbilJq3Aj/qr82PdtVKf4m2pRhEQKEE9FG2VWULoXu7a6UCBOcH/60eQszj\nPZQo1jzsoV6l13KGw1TopPG/TGsrpeD1wK7qpY3i1s/JIHc2wG6CEujDwpPVqVEuPOFUddsi\naa2kM8S+5IELuoCrmIToACkihIYscWHBBs9FqLjGgZgseBMvhwkicIlS4VW1kSD7kbk9/2aQ\nINe5fgwIdtxHUWeeuKOYFWiaIiBvoQ+OoBb+FNirPnSdIlLyh+ekthQNvoUYjubkhXl49K7N\nSwbYTU6gn5o7EEsbIUx20INdKeV6vdZaz+czyn8GBDSBBt6uin8jtYZwE0AMq07Jmv5JTW/a\nQm6LRJG66i2sgyfeTplXOPO3T9YTquw+fn8k+hSS0F5rtc6HfVDcDzOsR0ILYfa0ZetoJo7k\nLqwEmvv5fDY3ZRAxdQaGDLCbnGTJ+uI7XSSei75URS6A1O12W6/X1+v1fD7jO3+5XE6n0/v7\nO5ywm81GFwBTrHi7LDEZT09PfT21KkXuzFlGkZhbnqnOR/Z/4ftgkGAWyakokoWqDJRjf0jc\nCA2/AeJVlFDWEbm4AOySp77xdvpciOy8XZgTwlBqcyQ4sWHm7RHt5ZRiApm2zGetgYFIg6m1\nbjabnDMqsuCJl1YG3tkAu2lKUGp6yqDMRUOLU0qbzQbrARbr6/V6Op0OhwMdFAvZhYt3DFQi\ntfavKg5E9R4SzrKEqnBdqcrJlgmRqsYGWAljD9yntrYtnZkkymNPavhXmiPDab36yduxz/pX\n7acJpIbn9RDsTMgjTZ/6SdNHYAJ2PTfHEaAeWgB86xMp4qeerQywm6JgSaiip38NkMc1wCPk\nZcV3hzgej/v9HrY/5Jb36GZiINOolCxbzPBC8CCalkjW7u02EfitK62HNg6nisIbUCbMAPGu\ntJ5TNmjCvExIH1sm3imvJNjpnISH0j8pa3XegETWUsIe6XiwSKGU7BEkyqD1a8e5IiYqzcyy\nlyMLFtjsZYDd5ERXY5HoKs3xgnAxk9blnNfrtcmmpaWUw+Hw3//939j+9XK5ILo4paSRK6QP\nRAGE2jIbiV2ytlxoak3vCkwBhpKEaJiA5r2tBqrI+JAQFS/wSW+GInV/R+uAD6E8p9PpfD5j\nAx30gTos/yUFVmcFnwtOY1YGE0XMqS6fS+iYfYyk2ffATL7/L6c08FbMHvGmz/8AACAASURB\nVD9IYO5wte/3e9htg9N55jLAbnKicFB8y1QmdXMJWWfP5uVcYzC6lVJOpxPAa7vdIupNs8TN\nsymy+0OwSMAQSQ0CZwlqlwK0uSldT65uNQtjDAPXf/Va69AztMxL+CUIvI+gSZsdsaDvFT85\nfZd4LyJaiCJ8KNYl22mDJnVS+XT4oMN49QdhN3sJLzw43DTUg5i5DLCbnARVRVVFE03THqk2\nJosfxM3MsLZPp9N6vT4ej+fzGUquLk4ljNh14Xa7Qe3F5UoryDcJK/2ahNQuYFivZZ8DyiRR\n+j5COoKR2qRIzRRHtBGgNjCOPgoGoJAkKojzh5I7xWJ9BNYiI59aGJFOjk5CEtW1f6ZhSsMk\nUPOFZRb3ZXjNYHY2wG6you+xtXUrldpUsV5ZS4iSb6SADUnhoj0ej6fTCTHGJpajhexuQXKh\nBTYeQo+1ulV/RBf5bwOidltnoG+caBKwQy/vMSJJ8StFOmiymF6mkQQ41rz99IjlpdZal9o4\nFf0y0ZrWt5DEWNGjp3Vwr5PGdvCFQ8lC/AYxH8zOBthNUKrog2q2C9iXJXTD2jWjEAYSdzwe\n7/c70qG+ffuWUlqv1y8vL4t2T2h0gKsONjvEG5vb1wisRTZ5CJa1sCzN1z/7bC2WFdk2QYGA\nw6yt5b52/C638bfaIK/C7AH0YbM7HA4Eu1IKcoeVwfFx6H8D5FGNVUbGJ9Jjcfho8RJcrkj3\n0ZSGOcSgkm+skVJ6eXmBes4nGLoxTxlgNznh1zgwuFIKcCd73j4+3b1So8t16Rs8Ey6R/UrP\nA9ekLifcAksFNj6t+NRzMaF9/xuwTPhRYEMqaunX05QNKc3p70glLsxVerQ/kX4/dNIUTDU8\nMKBV6Ex9ZFKw1jYXhqNIx5OrhC4G/nv32usBZFV0ILTcobyN7i4yZIDd5CSs/9xWGQEOqvs1\neU0na30afMuhGRGG6IIkdAYykn2PVJQDQc0V3lEJoC6kALjEo0DNHlKMngEpngak6FsIUBtA\nkKyzSCiGBtmFIWBcpc3nNYGYQK96ONZmA1E1yYrj8zUph5da1hY+QtZ9MxQ9OV4WuYEyi8zZ\nIQPsJifQswhYypKqGNHNDPHDC98XlY5FlJyk9SfnzD1JSymHwwHHt9vtZrNh3Se0Se6TUkLR\ntJzz5XKBxofiK2oDChDG3prE4tEgGGDC2iVdPXS5ekiH0hlrF3YAFL1vkYBhvS+oMax1xXN+\ns8QnmlNa+nZyzjhZ3d+1VWMD0vGDoeco1rORYC1NEsRT2yw9/atJWnFtc3ghi8Vit9tBe315\neYFp8iOD6axkgN3kpHiwawjRKl5vQ815wZhdffcvJpklsQdVzxtHAtn379+v1+t2u8Uu0Vzh\nkCTxLi8vL1lyMKvvj2EfEA1lWMSaUF9Ez7dHip7Sw4e6WP0/ibZj7pWm7zWJQ6BIFB7hI3xs\n9Kahz9aplvoN4BCKOI55VfAgKxrq79QVvOonnx4YE3wcMEcZYDc5UcTRRWiipQIHEVNa2tCt\n2m4ITYbC1oBWsF6/vr5er9fdbsfALq7MLNXuUOEODYI2mlddz23afxiF0qvsAcCpNTNZixoK\nK+ZeVKU8nAcTJ0mS4ktFIi2qJLqxLgjPhAMnBC1aW0nl4SYP+oMKvo49gFESIyNPYDv5UdRk\naf2nPZKG33xhuKssH+XDT8UMZYDdRCUJWbMuPsOcxAUKw3Wuu0+pnf5+vyO2/nQ61VqRN47y\nAeaV8swXEiJXFr49MwAFGrEaFtk9HgzHH1IVolVqFTGFvEB2wvzoXYpnU3DIbJl9YC4BuVV2\n0auKZ2g8tKPpuMKT6jFFR6EHA0KF0QUSZx8jXT9jnAGO9GFNl3nKALvJia4xOuOKBKDcfRfq\n4/EIC50ykex77pBJUYctpVyv1x8/foDjbLfbl5eXz58///LLL7XW19dXWPF62vL6+rrZbMAB\nb7fb+/v7fr9HSWTV8gJCYTjkF0ozAyaWNnYEt+b61KQonkA4Mw8VXvgm0/wM5HZvB80DWcje\nNzlnxYXiMXcL3/w7tb4RPp3k9JC/2QECVkhBow+B5lR2j9Ou88AfagTMj8Kb8arQT4WASnii\n1Pk+ZxlgNzlJns9graKnqFEk/gO1G5WUoZ0qERgEO4TUgtxp6covX77w+8/NDSjcmsfMdrsd\nGln4To8Ph8AfD0Gtv7CKCV8PciA6FeFGhE7iIwmanlAkIDHL5oQMN1nIFoucMWuJFdpXsNPf\nqeWb9ZFfoqdp/ZDtEad7OM+B9t697jwV9sDB5ywD7CYn2Xf80xVS2mIh+C90VRAf64w4ykd0\nyaGKN4QrAW474CbKoqCsMQV4ambY0/Z+v//48aPXW+1jba6nWrW1u4dLlO49XKsBBXRVF0k4\n0dtlL/58l10ZEZ9Bxw6YchiXwpk9KrjECQ9X0R5XPO0vfRBSp8Swn9LU+rJ1ZvQqWjbUU9FP\n3TxlgN3kRDfKo/T6jknpTbgpkmRWIqz0y5cv2HpisVggrhixF0wbOJ1O+/3++/fvl8vl06dP\nX758uV6vLy8vLy8vm82GpfHIX3LOX758QV7t+/t7zhkmP/SnSJQMjvRrkucEUKgSCKIHzTXQ\nLMXc1VtqXjRUaU6RKDktugfvCkz4yT2t2+3WJH4FZzJXpLbFgdkmPyoL2dCDQMPxZil/Qnwn\nceY3rAp/Z2tF4ns4WNVnFcjuXoifPUSo3Xq93mw2ML/OXAbYTU6Ux/GTvpCNqfRMrm2QMsDc\nYrEAVD0/PwPslsulOmGhxla34pnZjx8/cMcvX75wxZoZrgX4YgViCWEV0cJF2qKgQ3pVW82O\nB2tXESCMLoxUx/vR1NUPVEKiFTkdzyEKa+JKUIQV41KbSkzE0R4m0Wf1zNoG9wUQ/GgS+LUL\nc8Vb8z0hLLKmIbfQfDhjs5IxBRMVXTNcZkqLwsnV40VYygnCMHouVGy+V2vd7/cgZff7/f39\nHe3/6U9/wjoH/dlsNoBLLlcsIYAdi2po9mUV5VSph2Kc/pfY8REm9sqd4ks4R6dOTyM7M/dv\n8HbZM2dBexXB9UJiE67SxhXLrIXp1IpOS/g3tfqmfgbCeNmaIiCP8JtEGWAHGVMwOakSLJK7\nAC79Vw1P4F9gcxsRgh1rsn/+/BmocTgcmHxGNPz+/Xv18pa11vP5vN1us+cVqH7EzFkE69IZ\nYh0ch7Xan6DHw2z0uGaPmF1PDwk9pSsTQJZnDt/mZj76l6nVBhBRLVKZ1MP+6F30kjAuZWr9\nDGiDSayEejn/m72OYa11JTLAzgbYTVD6FWISj7JcLmGC0TJNya11T09PLy8v1F+QCs6ydPf7\nHU6J19fXX3/9FSmT3JwF1dt//fXXw+GANPIfP34gGOWXX34hXKaU7vc78saolJEcZdkN1h4p\nXCZBefyvKmscteryOj+6vNWqZS3H0XNIiMBkk7gIskfqVKlzpxksHB3gvjeecuzsIQFUNdbw\nr4KaWjZDKE+VYJ1QECVAZ3L6n2VrYL4GMETMXAbYTU7CNxwHWWMOaQ8AI8TEQVh+DhtNhTCu\n7PsurlarL1++YBH++uuvsGdz01hri9+llE6n03a7BVnQ/XqYYUr6Qz06rFv7TcJisuyDx1kV\neR4h0qUuk0zJjrajzgp20gR0qoTgFok3JnCQCfZEm6epfq230O4pwXw4IRyRjrQ/QadFsS+0\nzFHntpTLbGWA3RRFVyOPgFttNpuXl5fdbrder7fbrX7MAXbcWQLJEsU3kwVULZfL19dXLNHP\nnz+XUuCoJSLADHe9XrHI4bcF2LFkQHKvLgx26GESZ2i/aM3JGk9WFOghQOlYlo1pwmovUteP\na1ubVSoEZM9SnhNnIiQtBKalToICyw7X1rqHgxqQ/HB++oM6M+rq0bvo1PVWSLZg4rQNsz1n\nGWA3OYGiSsDCD3genp+fX19f//Ef/xHkbrfbgW6A8YE4sAAvNE2UdYQTFhoNXLTb7fZ4PH76\n9Ont7e1wOLy9vdHoxoSzWiv+9P7+rq493sik4FqgdanNHuNiC7EjGhxHPNJGUssKe+VX40VS\nZ9LiCYSwLJI8KpubUZhXW4HGqkljCnZslsiy8K3Nk7tca+s24SWq6Vfhv6HnbIdzu5DS+eFM\n7RUnXOH7b34rfwYZYDc5wbKhvRwH6X/Ybrevr6+vr6+r1YpgR0IHXoZL1CalIaZMg31+fgYz\nQskzEEAuFa7tUgqC6bhTj5KjKmmk5rvG1M5eFha8daF2tc2pSFJRTpVEbTBQJ3sU1mePKGeR\nYp9KGNXTSu1VmZ11drfUGvUU3X77Xx1p+KHth+NFCuFZa+tQ8P3oFjOXAXaTExIK5reaGTbB\n2Ww2u90OPlacwLh/JsySPqjfQKNDuIA3m03xfWr2+33OGYhmbdyDKlDWluEluOQ2GDi1Vie9\nXMHOOgelYh//1dg3bbO2yqYJrikk6UDMDW2Mx8YXgtqrCevkBH7EpEi4wLl028Pqjt1wX8Wv\nMFhrMVTvEt6Q1AnHkoQshw4MGWA3OSFNI07VWsHpUHsOUW+hegeTnIK1K3v9O/MFT20IAIob\n7Xa7lBJ2UKVmCqmtwhX+mlrbGW/Nc5RSWUforA3L4CUPl6hiHAbFpU4bvGJKkNqaEYnjD6NM\naAxVvFOo4l9ZiIEoScAN4NUPqp/J1PG7h6OghJuqM3dor0EG2E1OYLOD4gn70WKx+Pr16+fP\nn5HIBSWX5XbN3Rf8Xbz8J52n93b/UKyTxWIBhrhcLn//+9/v9/vT6YQsUYUPM1u0+6IGupcl\nI4ohHVTD6wfhFPZITQt4hINKT4pXIe4xfeHbZrPQSG5dpdauf/aK2WYLFzYSOB3TvLRQwuJR\nReWARP2g+lHbI65n8uXIrYeXE5La3SxTW2qleGbIX/oe/nwywG5ygnA5DZh4enpCvBsCpnKb\nHs8XuorSR2gLFEOXHFfFcrlEfijU4bA2amsaU7eDdSQid+G7xC+2xh9h5St16jXWIqXnrXPX\nEnD1YGoV2N6qpTCqYKfjVbwDiaOvwFro0bs81B9/g7WlzrCo56SO9iqw6rfn4VV9T+YpA+wm\nJ1SdqtMrOF4hKKEeXuJ+aSkWkFmQBbBxnAw8LV5JBYBSxRfMhc2bkhYl1yh5X/YhiXBEofP9\nMtZb4L8svcsAEb0RQSp5NbckSq5aGK1lQyZIYQJbbNZay13OGV+a1LLFJFRX8Y4HOeEBQPtH\n/xANFU+JpJxYLXPAAerXQhn9zGWA3eRESRliRHa73S+//IIKmgiLY/GS2ll5lCOErz3XTFCF\ngKdQn1erFQKGEbZCokd6xWz5IsFl0LjBE5VS4e5ckKUt8mFCTvlfLlFCLdzEgDkG92nIy2q1\noqGTvmwTUHg4ds4MgBJxiFTeCWqYGSaomINOdR5998Kf8O2YkLvk6mf2SBSCu4ImMb0vypTb\n+Gf9aJn4mvovh+4Cfjwez+fzX/9G/iwywG6Kgnc3e4kRZuNniSMhAFnHCHobWRINUVeL0jQ0\nzrV9992vCRbwDmvVkOrFl7SR2pboWLTbbyt942CVkVnLiYoHRYPW0YVyl21llN3w2tRZsniO\nks0s2SakS+YaK3w4NOSRPQVRcwFnW9tcyK46pJy8RJ8jn5e+DzxNXw9r0bxI/kn1nBBKFdY/\nWxlgN0Wh9sTdP4l04T3m2gj8xbogD4peoiSFix+eDdA6EzDSywOmqBqbZWMdEhBrwbc+8pmy\n27XN38IP6NdI9qDLmMCENgFbbF+7kUQrJGzlLqnLBECXLmiWdrqgIRLXwoSrr1Zd1Yx60fk0\nYd/aVf0vb6FnKrPjX1mflXHFA+xsgN0Eha5ABBIjSYtWcwJQFZtabcMRuBhqpx7WNrjffOnS\nrlSFo9HDyxv1Tr1wQhLGREDR1csLtZNJaGZ19yjxDn5naO5gdkU2Ak/iDyXYmRm03fwoBLe6\nqVGRkX0mSFF7JWAppfrIFqbtIO2E9yXD0g3ATGx8WaK19euVRI211jpBsNMJvFwu2EoJX6yB\ndJABdlOU7Blgu90OsXVV9sDGmse/Yb0liYogyjxcWrr2im/PWFuFF/Z4IAhsQFlqhBSJAini\nMKXxLnW6IcGFwp4TZ7kHGNcqMnxxkCVJQvDz7XZjRA6Ahjt85zYvgt+S4HXlydkzUrQ0Fk4g\nxyToK5ckJmYpH0CI5FfBBOKTM9/6QXhgfhTVXMUOQPjjtFyv14MLLAB4In/rS/n3LwPsJidE\nOiqwYFh33x1VF48uABAZJMNmCXNVJDJRKoM6xg4oDCW3aimpSZLLVXwP2eL7ZilXMtGaeXee\n8HAUhFGAHcGliDcWP4inzJCjhyRL6J9yzLvn3uoAA/iSLTINjgPnZ0Phm+c8zF1NbapsEqeE\nfntUlKwtpNgXPyH8VzvMB0rI0ynKkuIyWxlgNznJnoHEqmS1Vu5IjXOUuCXJxyLkFY+StS4y\njsIjD//VxYkU9yreQEISbkSmQ7RSQEzieQhYwztap8aytBw3BioSHV3FzULTHjGXEJMlJi6L\n+wI0kJQ2UDx2u0q0B+cWblk+gpAOzLGENtlsbhNdfvtkFf1+JHFl6GSC/FJ75fAHs7MBdhMU\nMjvmIZVSTqdTWJNZUgWS66RVArusC3CtstuLwp8CXH+E9zJRmhSYlHKaYC7L5AU+Ym6fIkbT\n+Qtow26n7+/vLJlXhYgpaTL/EgCGsBFH8rrkVEjpbyXKMP9Ek70WXoQZl+AI4lrCTdXGVzyL\nTn3EisjcsjK4CwhhJnRbb5TcHMlp1N+cELSMmyIgCTdKKa1WK/RhFO+0AXYTFP2GW2u91uVh\nZkiQCiBV2hCE9EjzzW3YV2AHinfaJSqq2jIaoTPBWhdnIC/aT0KzHgQ7Y4AYYOIhKChWkn/V\nVlXE/PA41VKikrLj1FoYF+0esiY4m6XaUvZYHE4UPzDqNC9S812RzloXBGdM78UZqC0xT67b\nUjdXHz1fEn1qM5cBdpMTvppcD6WNm9MlQcJVReEq4mdMQqaK7FFtXcYSJFAGe7QCk7BLrCuw\nxRBUwQYVlazVW/kvuk2kA9iRfLFLPTRUifXjCcAIbMUQQAFNwSwANFQWVsRXoxOVxMeaZJsx\n9iF7wYXqZVMV5jgbYQJ1RP3teI7+SK0oteT+RyafNOtU7NnKALvJiaZnQhS8eJq+x6mta5ZE\n2bRWJ1Xjugk7KFJNxIR56fKj51FPo6Kt7EOJm8nCUxJnHb+jZR14x5pUYa1yvNqaMjiTpAVq\nqSYlEpKrmUVcN/r9oLAYfRLep/YEHTJ8AlAhaWfkLFlbbk8forW430uAeA6Hv4s4JcJOb3/N\nK/iTygC7yQl30kGol65GkgienNos9OQ7S5HyKJQQWYrk7VP0EoWq2urCShnMFzDs/UlMhzoi\n3rF44Ju2iYWKONjj8Xg4HI7HI8LErI0XUYxTwKIBrkrE3KKt+FRKUXcNK2Il375D3d/qB6fx\nTtEcgAJB0l4pBWxOJ8oE4Kz1/OIIn5o+xCphKP1kmsMchnO5XBBl8sc//vFwOGBHYKXSgUvO\nWQbYTU7Sxza1nt+Z8xpVdXVZUsdJkvxf3Fuq+BUuZGeUBoY/9b/DYtZO4ocyR6IVeBxiTVgh\n/SEJzRK5og1aS44CoOjHgKoohU5bApxWY4btH2ovp0vb1DBGis5V6sxt/cw8nLfSemayxMGY\nB/0dj8f9fr/f79/f34/HI4Ku9cGR+n3UgfnIALuJSr9WFbz4p6AeQhQcaVbDn3reoYY8vdAk\ngR9/ehj2QcyqrYQLeXd28i7FBTRrXeP+FU/5Xyxj1amt5bY4Xx2mqXU+ZA/uUQkIGIamD0Ln\nXOUhKb5LwQJ7ROJqi57EpiRWV3PXR3V45Wnv7+/v7++Hw2G/3x+PR7XZ6fD71JcZygC7yYmu\nH+VcXB7UoRgjhgt1lXLJVaEGSUJwq3MWtbubqJyKHYoy+rsKXyutz1e7wRQ3BQ6MAlb8w+EA\npwR+AOzYNxN0YH7Iwkt1Zq+xzunKEruDFIjsmVuII0F9QNVYcTI3/+Ymaqmj0jxS2rAe9U6Y\nUFfOUpZiqOEZJbGE8qbqhzUPoLu3Ra7u9/u3b9/2+/35fMZGwHx8SUq2ZIm7nrMMsJuc6OLh\nEuIaSK2xnwDE32zEPlagdIHhiIJp6IwJx2F8iTIOttnjnQ7HZDcJBTtmrbOilLajzZrooRp2\ng9/kqszhZ75XloA7KqqBzSnFe6js95Njolab02T9ZvDbY+2nKCB4gNSHcwgPL+cKZO12u2Fz\nOJBibpnEjhUx1/75b+DPKgPsJielzRPQpVLF3G4t7YKosmMODfZ/CvvAylHdLbRcu/IBPEEB\nV9FWuxQ6QBRjuitLdLBuKDuTPKoGHgYiXZYqI6AtmDQSVeIdwE5BUMuZEO/CQD7qf/h+sId8\nOiZwlrrcEhOC3LeTWh7NDmCiGJFzOp34naD2qtsG6WwXqXM1cxlgN0VRZqeL0FoqoYuzdNsD\nmmAZbXNqNVN1lYuTXMDadf6QtYU+BI2yCvvjVWyfJI4BYgQ77UOtlRWcdNQaoFO8xjKrACQ3\nzOm/Ty7K4LIElASN3sRFUCRUmwMPSKd/ss4e+nDewnPkE6QvYiF1T1mJc7/fV7cAaL4Enz77\n8PDWs5UBdpMTZPxgma1Wq+TJT/irvrtkW1lCrqwL2qqtKG7yBAZnKTHkSku+eTaxko2wQa0P\nzKaozSXRwcFBNCRNY8TIaiFUKtlPAhmIG8xSaOR0OpmD+0L2t9ZSw6R16qYgxpHYKrEKnMta\n/tt/UUz2w9bHoTCKv4KTps7fkiW1Ax+D0+n048cPxOUcj0c2y6RphF5z8tXcSUPezGWA3eSk\nul8PBhoCmSac6zLTH9YuTsUdRTqiT1gDSgmrqK7VU53YYE9zFBEIrNl9wYogAZSthWMTdChu\n8ifeoaYLORGgqnrGOy9RqNIe6kHOKkQ3DAtfjo/4kX4z+mcRGJa1QUUmmct8rGx56fttFy/4\njiBEhB+qnUExeiHl/MhSH71iM5UBdpMT5VDMc+RiS63xiwyCaPIRrrFx64KwILqklaNxuapa\nHfoccEShAffKH9QNDqel1thkYk/EcZSxq7Vy3wn4HMHOSAy1wcDdVPojYSoUuUL3tNtVNFlF\nwDAhYVoU+Grr8CHYnU4nTaFj+WhrPzC8tYKgMuI/58X76WWA3eQEphkwGu4Ck73At7WUwcQN\nqqtF10CAv4VsKvrwX13AegvqpA/xDsKlruCrbeppYWVm8bHqXwnryA24XC7EAgxnu93WWm+3\n22KxgEZcujBAax2U1XVq6LaYZEaN9N8A/M4StBhwqkiUCS/kYHt8168XnwtnA79vt9v5fH57\ne/v+/fuPHz/e399hAVhIBRpOeG49UalNlx5xdjbAboICM5b5O0qY0AUc4IAHdb1VieEq4ti1\nFkcUvHhOWNVhWepNyUDRMqGqtmKPdG3FOByH4ekh2SFswTDPlNWUEvytKGek5j+9KsBuACBr\nCyiocU3nTYGYE26CX70fw7qPUyB3RCvNwM1eVgD5cyw7XMRxFL5k+mTDtA+wgwywm5zge558\nL9dAFnQtJTHZ9JCnYKcxpVU03LBKA+HSllObxMZuBDoTmmU3ascciaeQKvXcVfqFDSA4n890\nO5gZ3RFwPrBmfU+vSKNC7gQnIXtBY1yoZs1gntNvhrUQw8sfWs109rLXCOj9JLfbDR6Jw+EA\nfTaJx5Zze293Ddfpsg4N5ywD7CYnsNHoa51a6xIOhjfbhF/wXdeF2jMsNeskD15R/hhICrtE\nRNA/hVv0twvrLUBPaiMtrAVuHuTShc8aaEUtFZ5ZiHlBzTBknsA8f4V+NfnpEPRLUNv9InqM\n0yNhsOFak+IlC6k4wGRh5IGdTicEDGs7Or0PsYyfmeGNhQywm5xcLpf9fs9lzxgL/aT3trMs\nwcYmPj46NK1VD3XBmIAIiYayqoUXsFRFz1oG8ZDvVKlYWcVVyuWN44ikw4UMu1sul6zaEgab\nUgL/Rfvr9bqUstvtdrsden673VarFT4bAHEA3Ha7xUbgz8/PWtHEXBNXIlZFcJwsciG1i2kz\nVcjj8LOEBy3aAvEcCzkpjl+v1+/fv3///v1Pf/rTf/3XfzFsWPvW4134EEJ0+46/5Z38OWSA\n3eSEy1tXEbWbKl7RRbuxAP9qQrICE9SlW8XjGTRNGrC0P9paaJPLm4uZQ0idfo1reb5GjQRm\nl1wHT2JxM0Ht4vU+gY/Zy4iiQcQYI3IFPG6z2QDs6MA1ieBNrcpsXU3A8ICy59jTexMelkm0\nNn+omCiw5lba8/n848cPOiVQy6R6WSp90NVDi7XlMEtDKAPsJie13UjMWiVIuVLQTWi8t0ea\nVJagOf5JQS2gSbjc2sWjPCIc5ygUcDV6Rs9EO8pZlsslWYwifmoNiIqhsNA9PT3d7/elbEoN\nNkcQBNhtt1uUCcBpRcLT0CxnVT8eOsYAdsW3lGTCloId3Q70PGTJ2TCJHwYLw0aI312OxyOS\nXpMYE1PraeWHhJPGGa4if8ar95PLALvJCd/au2/IkFJCdDGTSZUoKRSm1o1QW7NOz/vUet2v\nagVTJQ61rX2kWFbFHcElndqK7WpCwjnID6EBDgi1WCyw/rNXGGYPsyc/4Pf1ej0ej7hwvV6j\nkAkYHAeL819fX7fb7Wq12m63ybVmEzaXWs20uEOcNK0HXOra4F+qMJLlAeO4Dy94JWgs7Q8o\nvXk8Ht/f3//zP/8ThZu+f/9efKO44uVRkzBQnfDim58RtatsTPE//Z7+/ckAu8kJ14aZUTuD\nDSsAU39hT7KSex4IRly61L+sDaqwLuxDYQ6NK0oGMC2dD7S2irDCsXW73gRiZU6OTAxq9KKa\nBJTBos8LGT0HxRZGz81mQzTMkt3Be+ktdHSBYxYJkAbY3b0U+11qNeuniJgORF7KrmZoGZWa\nUIkTtUxOp5N+FXQ+w7SbILV+ljg/f/lr+BPKALuJCtYPd1CkM67HO4pOpwAAIABJREFULBI6\nhSdIajXNcFV/mlIz9cyq8mXCg0JTuvxqa8jjtdqlh/DHMS58F0EishJGBTtzgoP8CghoXfZg\n7PV6nSVJdinbVJLEgUQH1OB3gjfSAaolTg2IZFJZQvaw2+zSN+Fl/h8oPJRWBtbBIcs+KL5r\nH7Toljm541Pm5X/Lq/jTyAC7SQuYHZOEgj9OgaMHI37zKQSyKvFZZHl6ZmAHVXYmUzDlyXo7\nAgSv1Z6zqR5EeEL2VArgHZkdaU6WPP/ktjnCDU5G0Tf6WwlzHBf6QI9waf3XD78KPepZC8Gc\n2OPxqAPHX9E38Ep+BmCXgFMCYIcEWD5x8tOlbB4U0F+JuX5mOLqBdzbAboKC7zzeaYSSgdmR\nFJBnmShKNGCZIxdWfnUrUvAY1tZ+V8WgprhDXNAlzT8pUFbZ3weX08OoAEEYVcpjgiMqN9/0\nGj1Xt6Pa7Dgh5Gi32w1qLMsRbzYbdBVjQbkU/JXVVgANONJbSNGHRbvzjkmgHMvqIT6OlZfY\nSfhGcAs2pRX9kP5x9xKnua3BBy2Y84w+YH8lE8qsM0Oit1yOlT7AbnqC1YLlQccrdZkkTklr\njWtZQigUsFRwkJf0HFDPCSROOY7aucJdwnD6WxOtODTiFDU78pGAj9buiKaS2l10eTtCXm0z\nSZJXf0pSeApoiBC/5P6H8AHQFkxURfpV0G18tGh+VchW4KYeCr07pQS3MgTIxZLLVbh5FU2f\nwzH5FtIoCcT8c969n1vGFExOVMHUZZa9Zlny+reljcnQtYdLFMt6RAv8zjpXbJYYsYCwoc+h\nq8rjslR502ZLFyqsa5gnpNYupsCXpTAnw305EMVBKrmYN3AociU4K0jNMCHUoKlEa58Vjjnk\nUAu+eHgKuwpVmvCaPVCZs4RrEQhNrFy4AOyo3hZJnU5ixGTL4PX8TP4Vr+JPJgPsJiew4FDx\nucumgqr6kSmkD0JMqLSCI1SJzEILAQSTeDx1NZoECT9EyR7pAsFMrY28tGWmskQ4K9reZV8u\nIqaSuJwztFEGzWWptvK73/1uu92u1+vNZgOY0IIo93Z/W2DBarUCs8OMcXpzm0/C6TXRvtEI\niq0uFou71xBWboWIE/4gCKIddA9RdavVCv81h9GcM6hf8Z0n6ZBJXt41i3u6ehkYnIlrZy4D\n7CYnMDlBy4Nrj0srSYEmigIWf/cWugBq1iUtEaTqI6eBfUDoeH6AA4US61yu/a3ZyEI2t6ZU\nobdc20ANIBq4T/VKnznnl5eX9XoNw1z2+BLCfelcyVki1HLOrCNARFYsVuyurSIJONtsNikl\ngFF2jzBAWQtzckRqf3x6emJ9+erBN9mrVaMbULRZHVqbNaf8JLylTU2ZrQywm5xAfwGRYcEi\n5SC0svOS2gnx0VoORbzTZWwOLvYoNKS3WPVYVltqiYNB6WPjPariSGl3sO311uqeWWAKYoN3\nux33RURgGrCAIXVEAc4My2GiNdAxRUCdZxMlXU/gLHE+TfBuvV4nD6wjjC5kQwnOLamoDm27\n3eLHXbaUpA8XSEfBdC1kk18Olh+YPLyxA+wmKHDP4QU9nU5I5NTNj2nazxJRRTPfTTao7wNK\n+IMkkepYErs+5CMIC+qwNqstZHEZK48zQVL9kSXyOXha2SYNXvSxbjab5+dn4hp3dQgwpB4V\nzPD1emUOg/Jlha3szgo1jwY05yUkWQDi7NsPKasN1yYpNsN2qLES7CBgi/ySMSyJnwedZH4w\n1IkxcxlgNzlBdqSZAdSwKr5+/bp24SKxLvILa0BJSnJzkrVrsrZ+PRNNtk9IspYvBJwy4YwP\neRzOCcs+aLXhWjgiceF2u6WjQHXVzWaz2+1eX19fX1+Beuv1mpoj+RStb+BBuBdoXfFAYhR5\nJ7fVkBHuTYGTNe3EBBmrR4RwQuCOoD+hdso+n7gq13woAHSwuSRWOfy3ypa7ut9uab06ud1P\nbuYywG5yAt5hHhR2Op3O5zN3VqUOq2Bnkq+qCwYNpk5V7BcAlxD+G2BRb1RaN8JDURxk3wJE\natCcCdnEJbRYPT09ITyNGf6MX4MO+/z8jOJO6/UaKh4uZ+qYtWSNY2HGKPAO16bW2cqOBexI\nrTOH5xO27lLYKnWUWaclTHh4cFm8vTwzS7YMv2rsWH0kv/28ZiID7CYndy/LTns5ivzQfhe2\nVVRIMrHBBXqVWg9pT750OZkgHfmXtXxEtUv+NdxO17C10Nb3IYnjYuFV/FJKLy8vUFqVXpkZ\nMA4J/4qG5HHVy0bpmse4ENVRa6V9rbpLxDoSqkJdu3dxhK9CGFqY53AVRZ+jgp1yuixhdJxD\nLYSlrQVb5JxlgN3kBDU8zPcVPZ/PZvbrr7/yff3y5Utqd5ZQomGyEXVtHYX4L4x6+iddEnqV\nXmjCDQOzq6Kg6cImd9M1yUWbu3gO5VDAIEDY169foaLeZU/oWitdsbVW5Ffp7mLMQiF+gRSz\nP8Vj2U6nU3X7JgN3zX2g5gSK3oAqGbs6b+VR/I098mIH+LMWKFPLcHnJQkrPK/AtFguE1LB+\nHwOkqXffR9WTAXYTFKaLVfc2YIspMB2qdSZsSLEJP8hi1G+r+MjzdSnyT4HQES+sJXTmQKBr\nT5tSnTqJxcpkeYfW+ANm/uVyCX/rZrNh4BimZbVaIc9UeVyRUAxrywiX1qPCwTJ8V7Mm7lIW\nMHUSjlvL1xTcecf+GenHhgd1qvVH4IM8yNQIFsWhEM3VyDhnGWA3OSmetGRu2EKu5ZPL6+ur\neQqkScKp/Wa8SMAdE6/Fw5Wgq0uXpWpP9shlodSJorj8kX9Q78IjWQp+ZA9Yy74FItgfPQO1\n1oVvSaHEiuSL86ND6PO6FPTtETUL7VfhrTonpYv+sRbden7Xfw/4u0iEs94Ov2HnVaZ5b0so\n90OYmwywm5wQm5IH+l8ul/f39+TBEJ8+fTIzhMsmccuaW6/V92ptFJi1GhYvp/aqcKD9YVPW\nMiOFA11+oQMMItFl/5EQGWmDu/vGFPDSEvdpyKutJq6ITOTVr4IJyt/bCnRqtrMOcfpRh+Ps\nfPiT3refhIcPSL8cbIQDLK3jVSs8q4fkz5nwmcgAu8lJ9bLsfFMRO3Y4HN7f33/8+LFarX75\n5ZfX11cotuAyjC9TRbXnXEm2c9Z1a6Klps4wF3wRReLsNMiDcSG0GSnrgTBPHoEUalArkh7/\n9PT0+fPn3W6HCFsW/FgsFgg3A9AjtoOWKdy3eukk3F1DskmZYeRCgySGMHtpHoXSzPDx0G+G\ntUWMdby8NrVMmUeUDFJym2FS/RtGepvE+mkSmsdZukv9rgF2kAF20xV+zEspKDuOZfnt2zdg\nHChelhguSu+dSJKiZO5AIBgVcZgGJhJ4CjuGIwp22cNoqzgrTRyLPNlabyMbJHYvl8vn52ck\nEpC+cW2n1tHBkBEmFfwGJyJlNock1YKraLsKdrXld+RWYdLMca23D4aHm7oC+nwQ+jjCv/3H\nib+p72vZu4e3nq0MsJu08E3F/gZYCQC7nDPcsqvVqrTCtZ276BDiRQ+LSjRMlClFCvaqSjkN\n5RqKFHQp8r9KMPuRVk/nLKUww58n08pO3TMJjU1uhaxSVo+QkaVIJ9NFrQ0A1AlPrbM4tR4J\nhTkTpO6RMfxQ4FNk5CxxqvV56fzjXvqd0MsXIgHsBuTZALsJCvLbzetbcJEjXP5yuWy328vl\ncjwe1+s1dpDRxZClKIha68l9CHOh8keWHWMZ/2GtLmxt5SVGw4FNwH/KfLXz+YzO657f1cPo\nVM9iNMlms8FNn56evn79umjLCJuwKhYUUY0vt3XciHQIYeF/cXIgvLT0oWNki5y60gYeWlsd\nINAufmwUAfXTUoWMWwtt2s++zzoPejmLBdRakV8In37AxDnLALvJyUIql6kuZq57nk6n9/f3\n5XL57ds3nMbFrFqeyY6o1gb968LDTfs1qQCnq5rUjKEwC6/URiepOSbSqxAIUegVIQC4mVJa\nr9fPz89ZYgOXyyUiq5P4ZO73O0v1mmOoqsnFN9xigZBAYE3iBPWE0lYl4MnKTKvEHhfJ7den\nGWijPlBtJNA9TmA4WbmhtaTSOnNBOHnIALvJCWvSZk+NKhIpVko5nU5YvT9+/MB6QHgtFRk1\nolUPJTPHFLoCuJz6zz7Xs2pJejJADSmlmr3AAECseZRcVqu/CRZzXNxErYpCTdcqXRmqpdIw\nVyQgo7qWyuMYpjI+Dgc/aqurmmCNtVSL868GNW0wfE6s41Ol9ZtTK9eZ4V8V6XgXVeGT+JGK\nF3HiRC28qDWn8W95J38OGWA3OYEyWN2tiVeWNjtkEQBr9vs9UKZ4kVsTrY3wZK2JSpertY7a\n/qCuNHYPt2CpOF1gtLIpmCrW3GXjQS5p5D+oUc+8HjqxnhsPaT1h3h3NqjFLC5kk8RhU0Uw5\nJ2GuHvIvncDairmLgP8tXayf3t3k46HHFUPVU6HfgF7wJ2r0ARxD5YI5ywC7yclqtdrtduaf\na9jpkuwzfbvd9vt9KWW9Xp9Op8Ph8Pr6mnNGoAa2uwfnoncSCyC4HU1Wo/IRJVzkccmrs0Fv\nJaYQ1FCK6suXL6AYqLjLAkRYihhd9grDGG+tFTomOoPg2Nvt9sc//hGrFD5ZEhkWgzHXr9FP\nsFe6WZF9QVqnPQkQBlEdFhLoLW8RII/TmMRtzR6yn1VMdaFZPhH+DkpxQEx1qhDm1DhLQTI1\n5H/k5fy7lgF2k5OFb1NQZddBaHlK0C6Xy/l8Pp/P4HT4Af0XL/rC95BXEkEWwNvpb+tMPEAH\nDezitqeskqRkClBI3OF2WeoDNbGIZSnBkmSLWOR7Vi9axeg8Tgu9sepyYYeJrSB9HE7vT1CQ\nKl10Ib8BqVPnOT98KLkNmSa0BbbFv6rboQrBDM8rQKremu0sZAMKE8jWYOzffOlmIQPsJie0\n8ZsE9KNSm8bHgnnpFnws8GntF56LMNABa4Mqeu3J2rW0kP1br9crNvCuHuGFRP0ijmNWpgKE\n5Tb4i4jMJFYTJ6OZnU4nc95X3RinTgMdVBU101qipDcNoKMQGXgW8ZQn84Qs1QS0BW22/62X\ncyy8tX4zFEzDo9R78QHpeLPEHpuX+NcXY84ywG5ystvtvn79itcXQAYjHbBDX1yYscDp9vs9\nFiFUYEpY8NbuV03hwoMWyYUE5N1sNmj8fr9jv/r9fv+nP/0Jq2u1Wv3+97/HD0AVlOvD4YBi\nfAQIcq7UbnSbPSeMCZ4YO5Y3TJNw+OolNBTWNmWCqJ3d/5vETKbYZ5KvktqN0JJvuQ0rpMmH\np7YpZQFDAw6Gma+dzS6JIzWwQj640nmx+S9Hmjy+mq2Zb9401FjIALvJCVyr6kOA/4HrlsZ4\nc9sQN1U4n88gXNnjLZK7aKtvM6rmOfPlBByhKYorEBZABtwB7Pb7/dvb27dv31JK8FS8vr4y\nZ6u6d5WuZKR2WUuyuIw5Rt5a4YCUhxlpNPBRSuut5sEsQSHapoldkmBRW9tlYEz6gFKrgbLn\nwSmhIyVUKaKFE8KZ+CtBUE1yai7sJRD54vLnv4E/qwywm5xgsxhGY+gCoMdN32Zd5yBHSqaU\nOPAWpBVV1EkTHQ0nM2C4uu3sdDq9vb29vb39+PEDgS9AYVgPkXAKHRZIh1EwsxV/rWKqR3+y\nV9zU7hFQHnoniocWE2iKRAKqpnn32s6cKJ03diwcZIMKEyHhlByQ1/LfXiFVuE/C4Pivwlx+\ntJlZgOPa6uyKpzpY/evMZYDd5AT7yGisCc0uhCfVB5PQJbI8HEdgigmRUYJgYlZXZCGe0uxN\n2ng8Hr99+7bf79/f3/f7ffLdG64u5HQBuar4FhQ+uLZBV1VR5c7WjDRmb61d4cq/+Bkgx7y3\nO8Dy1rUVa2ldEoXxIztgFadElu11rAs9UdHnpf+mjj/qDwVEnTc+NXYVL4w+EdUS5iwD7CYn\nXJP3+/14PNL4RXWJC4z5QIQbuGVBwVDMncFr5C8MACZ8gC5hrUIRhomnulvgeDzi+Ol0+vXX\nX3mOqpaASKV1OWfwvj5zlktXa5OUUlDgBOez2AnzQ7hiWcCZLhGyOeafgGYi8oZ/IuKTY1Yp\ni1LdO8xARfxVH41CreKv0s8q+7qVLqKFlwcTngmi6aeCo7t3e8UpIFavg3C5XN5cTqcT5mGo\nsTbAboLCiA0KKYOSF/K4m+ynx3XC4FvlSuY+B6xtYlCV7ejf398BlyYe0uPxeDqd4FoFzBGM\ndrvdy8sLfmNBMrLP2swnkjIuUSJs8iAS6qQkg1mSvYJGht+IawnUjHBWJHKFnKsnmCYQo+wv\ndbs66F+tzQaxlrXpIwsHrYsu/ogDljYaxlqM0yPJI7HVD35rt5qbuQywm5wAdPRlNVFbdKkD\nB7HeNLFMTeZYityFL8vegFxstVZQANR/RwI/6cn9ft/v99Bk6XDIOW+3W8Q/YydDRAszz4GW\nNdI3xWgMgWY48EdAUpGYjyK+BfMoa/x14Zvnsp/F3a/B/hgMW9T1lHwp1SKeKg00sSTq1HEC\nU6sjMxX3IaXSC62lb3y4PFm7rZ8QvhL6ISlutx0KbC8D7CYnx+Px+/fvDBowp2DmfO18PjOV\nKueM0w6Hg25UCmwi49tsNlrdl6ywyKYzwKnT6USoAgIqc1wsFi8vL9ik9Xe/+x029wLerddr\nxMeotQgIQtBc+FZeGKkiDhTehWxrf/NS6bkN9COyUAVObTaYQoMyQf0ryxOYVyrGpGmGKf7K\niFxiCv6qj4y4Q45JOwC/T0ksCUk8qqzgkFqnTXIvOedKHSb8XDGqLvtWO4z72e/3nN5ABucp\nA+wmJzB7YQUCv8yXHNU9GqTM08JPpxN8BTBmASvP5zNXPoovMTWVoSEMAC5tACqScAFbRaLP\nspdyAsZxN5zsm0+rZm1dAlNyz69SvHAaD6qy+bA1nbfAyHpdz1qCXLtiJwqRHLI2y15xNkxC\nPdRnylAeawumJlFXSUsJoMUj5hTyqmvoD13q1gbKkFBrbvJf9v79vDLAbrqSUkICafIkR4Zo\nUMz5kYbamTM7uDWwBq7XK/GOESoAOGjNJqWWslSICgVLCFjgd0A61iMBPgLvSFjYmnp+i0R7\nmATWmEd4sHL6er2mc0ONj/yhqKErX2GltButpTY+wwSJSGyrxKD0+qMJ3IQumVgP9aZZKgWY\noKf2wUSfDcPhZBL+OGnZiyzcRIrE4gxmZwPsJij6rqfWrl/arWQYJJw83B8Al1K6uOBkZnrh\nv3Q11FqBdGCROWfs18WWUYng5sVX2DEY2nAmkU5FiZiCXe72A6q+lTUXZG01U+Amw+WAPkru\nlNFUr18QWI91AEdPLjMoVInm48i+xaJSvECyFApr63mwdj/fgNd64d33x8iSBWwtG9WvzqKt\nbs+sQXVqqRL9t76Xf/8ywG5yguAJ8Di6EUu78TMgBmVOYAjDNjTX6/XHjx+AM3A9k6Bc6q2w\nzR2Px+rZDqiBvtlsPn36BLyrtb69vcEPS0MeSVmRAECAEbVX+knQN7VwKcdhx2qt0HmzlMPT\ncmy0Py4WCzpYMVgqy6WN1SAwFQlOvLeVma0FKe2kqpbW+oWsc5LyN3+oKhoQJ0mxA17Oxouk\ni6jThpOGOWHED/t2u93e3t6wH9O3b98YdGID5kQG2E1OmBvP1zqJE5C/V6vVy8sLIsJgQavi\ndqDtLEnWAUmKqmYmeaaovIRCdSaKJK8yST/iokWzvbUoeykU6nT0SGSJW1ZWpSyM/xKgaf5H\nf0ghg/ZnbZIWjxTJ31C3g/aWaKjMkYxSW+7BLgCctQyR4+Jp2lXeWulnahVYCI/zlcCEg6rj\n4xTI9d/4Qv40MsBucpLEXG3yrlurFSLGbbVawcH69PREr0WR0AqqeHQ+EiaoDGaPZWOldWSz\nrtdrgN31es3i/cydKFUJTCS1JYKLxJ1kqambO5M/70WWmt2ET8ir4klQ1ZIcilSUJBEdACtk\n3wgixBf2U13A5In2KDok9D913lVt31qY42kPD+qfOFf4IpobbUHAEf7NL8pf9QL+tDLAbnKS\nc9ZtHEysXUCH7XYLHfYf/uEfEOCGDZIPhwMUWOuCXRmJBv1UwU5XafKdJRBHYmawygFraCx7\nfn5+eXl5fX19fX19eXlZr9dI1WDNkrtkaNU2CcEc5jic7KF/VLSDCYwJG7VWRPMlKatHgmad\nhU7tXPDJ7Pf7m+xpCzKroNzzoCoem/AbPxhlwpkkSw08rofyAHNBn7177ocOjV8IjA4Y9/b2\n9uuvv76/v7+9veE1UOtH9UyYmcsAuymKalI4wtW4XC632y22VUXIG5Yr/Aw08zMrtnqyhBqS\nVCfiHaEtcj0DCIARdEEAodYuqE7MHTOyZ1DknAmOuobro+wIXEjtkhhXW2dolWBpLvugJwbg\nTuJVoA/66jVBe/7Fy2srioC1C4pWrsd2Amzx2ixu1vDQ9Ykk8V2EQVmrL8OrjlJajFjK4tSy\nRyRxnjLAbqISgInGe3ylV6vVdrvdbre0ryFkl2CX2/R+ECKSqbts71AeRZklL1QH1Q+3ALg8\nPT0h3AQODVY/B48ALBbxGgfXgUIwu2SSrtCrftbqgBAFI6Kwtc5Q/RcwSk+luZNHMUWv1dvx\nr0VCc/RkxbvcVkjPbdwcMU5x7WE7xHpOGk8jN0SsDxKokc+nKTcKqUOltQF2ExQuEj0CuMH6\nLKUAaJAzr5mh2YP4CUxogWCXUgLYVc8i4OoqEo2RPDQfYKd5+PD8gtaxBED2ksUKOvYBpyDd\nKF7XgK4P3CWM3VrnA0QBiAubRjq9VnEfQYWw1sEuqV8I7bY+i3Bfk4DEj855CJ06luqGQrWl\nhpmp4hUJKnbx2HJWoAHYqcfGBPIGs7MBdhMUIo5qeYQDsBjuqsPdxYpv3cDoDVAzGrNJMUDE\nEKnLYBGwnpTS4XBAaeLke9aklPb7PZIxkhvsdrsdN401Jw4azRdcFsRKCP7L2AilMzRIma/V\nm++yGAiUtbiptjPSTMwVQZBUKKWEOvK1VthAMTOBPBaJ9VVOp2MhvAbWVsVxHJ6mklk2olo5\ndW2if86Ze7nhNTidTvv9/g9/+MOPHz9QYVDT/kkASQP/5hfz714G2E1R1LBl7jcwz4QHotGy\nbmJsYjWk7Fb8hW8MllvfKJEOaILVBeLDzLMicSeEM3h+iQskIKXdnhEgSO+BsjAdaaBFyoBM\nSO7CqzPpn8wxvUiMMaHEBPh4icJiEkUSHwOGSdtvRoTUrpwJ+9NLuFzVUv2T9pDvgE7IQjYA\nQUz48Xjc7/dwv+KLxVzAKkzfPLzmz3rzfmoZYDdF4XLikmN5NROOwMXDhQEiw8upZgK89NXP\nOV9lwweG1B2PRyqwSFYjX6AWTDQhxpW2jkgSrbM+MorpSNn/KjYsha1eL+7hJrAta235Sh6L\n5xRr9i4wjsEc+gnJEhLMOefdSbsePkSyM7ajXlEF04B3qXUlm3uQcCbcEcfjESULr7ITk0Iq\nn/VHQDw3GWA3OYFXVOPjswdnmFn1XAVyBLIVHKEaa52NnC89AItbyZjZ8XiE+vzt27fD4fD2\n9gbDXPakSzhAVqvV6XQCNMD5y6gRJRSkIUyuUCKGO6ZHuiGxIEkSBXMJzLXCHjoVVnSkeg5V\nRQAEvw2wfoLJwuGDgS+k7ikhT/VrhV3laIpi5naJnDMdKdxKXJ+U9jxJzgxLznCSD4cDkqAP\nh8PxeISav1qt6E+n64kpaPiwzVwG2E1O+MpWyWktUt6HVjZeUjs/ZuBTXC0PUcDcGkgpnqRF\n7wc06NvtRvPf8/MztWlFmezZr+RrAYn6ISvzskc0zQRf8F/VyjmiHgT7H+ZQQghLHtGGUBvw\nWcbT6HzmLiIvoJuyyNAr0t7q7uMwIhPIyx4jCS8Enggp9uFwwNNBTCVtuDcvucofYWJnLgPs\npihEpbukc6s6o17U2ml/NGyTSih9UF8HzyQkEfWQfqRGbtrIcdVutyM5IjVLIhhLbc38WUJq\nw6gVqrRX+CuHZh1yKb5UUTl1TkBCaXDkycAFTNTxeCwuwHF1+Fibqap3T480a46URsDq/mKa\nMolrgejRcQRcYyA0gAxsjqQvpQTSzb7dpNC0DaRzGWA3RaEmwoSH3EYeVAlKKL6zhLWpYJAe\nC6jpcEfRu2TIK9hxNQLjwOzM9bLtdouVxli/2uqkaomDZCl50pvMU2vFL5JAwsYDAlobsRGE\nB5OHmCC1ju4X/X6UUqDLq84Oh4+1YIchU8tmN6zjrTobRGHF9HAhh48I4ev1+v7+DrBTzVSr\nt/Iu6oMCDlI/ePhpmaEMsJucqGdTHRFBPQz1MKB2mRmLOwEr0Ro++0U2db1er4fDgXVQFDpr\nVxuOe9GmlPb7PUKab7fb58+fD4cDUsdI+rgmWSqZ9Ad0iXehEUrTy5K7Ju5dKnsS3ysWcJYA\nlNym6GrOVs4ZwTSvr6/AMhQF4ZcAPXl7e2MnMUyQQXPA5T68z8/PIIlZKrWYuBeqh79Qx9du\nK97xIeLbg8eBfH7UsKEaq5GPJHoEODBWGha4vXqwb8xZBthNTmq75xYXLciIukRp0WOwMaFK\nK5oxbsOkOhMWVaCBPU9RtsXlCkx5f39nTBzsXMvlkoyDnNFk0x+sRtofiQj2yE6nR6qYz1Rt\nDJ004XcmpC976QRUGz2fz4AwtYQmz7JgtZjL5fL09ASGi2knujFaG8NRYA2s07q6ALU1rdL/\nAOUUU3c4HBBQgoPKBKv4vvWRMctFAbq6d2jkxtoAuwlKlfAIot5CygVjybE2ifliLhJYW9wT\nR1DLnhlOMCKnYyRdlU1ndFkq7hSvEno8HuGWzTnDfmeu4VIZVNBR62FtVWau2+zCNA8TIyMh\nQxXb1Gr3JvxUjxMFmAECisRzCPeEdSQFw3OKXsFLy2BGXHiXOEQFXBOiF37fpQoDORqINgQx\nJbfbDQVWTQKzSyvsPB2vtDMufHMi6gQzlwF2UxSuGdIuDRV0ZgcnAAAapElEQVReuWw2G/NV\nilQhKLC08pADohZxSukuW+3R9FMfmcDskTkMx9EINCzccblcYkNFJt6yt9kTOVTj62FXdXMC\nR5EoQnWzsFfBXaDslXhED/JisdjtdiBKP3784FhKa1ssbcwg3BQQlnG+3+/MDsYAgaT89qgd\noEiQEJ4pjAx33wAEAEdfBCcwuaAn0LsJjpzAWitIKDNGGEljvnsJuN7MZYDd5ITIQqa28D3D\nqMPyhSYLU1VUtSe0SWbHdVLFHEZKRTW5tn5VUh60hhZuvlMPYlzp5VTSoZzuITBVEcUyVfSK\nZE1pr3qMTq1SrFI8+QSMeL1eQ0/slehAZsmYdEqRaoI+g3ypE0nnsIrSyh/FbZogyPhm0Bds\nbpdQtshJ4OPToZmHNAYfNJ5IP/nzlAF2kxN+sYkXqhYlN0UvfP8qEgTwAvOUgOIm7SQJ52qk\nw+2ILKmL2g+LJEnEn/mKZYRzUANLp5aiWfUq9qwqdf5W/q5Sl8laBsp5I2QHrCxeixgfCVLj\n0+nUT4KON8lehbSTZncZ3X3fIvM4RJJZjY62NpOBYAq8Q74XhE9BM17uXouQPLe2GrpKllAh\nPsF+ruYpA+wmJ1Ui6cJbuxDJ7vqkd5UBWeYODT3TPDDl5nsn93Qmt9XWdIXoAjMxC97abVWz\nOx+VrOm9uFZ7wOWaVIDTu6dW+jXfz6TSq1rrQjYJYsk/ZY68MEvKBFHs4QyghLI5HWMYtgIu\nYU6BG9cS7NAOE9e0qdJ5cvvJUZXfJF5Hn+/MZYDddIUkC2ZyVsqEX+LmO1vD9MbABVyFc7JH\n/JLdlFLgqNUKGbgddZ/QhyC0E2X3ftxk10SwTt6FGEEbFk7GCQTKKrU8dTFDcJDdI3kxIW6K\ndIQw/uaZUGOXy+V6vb5er9vtlntUJkm2V9jlZ4MfG55AdlbdqUrzgrkPWjkjQVDZFodA4rle\nr2H9hN0Ns4TWaM5THs0Zu3vUMUfEGoj/997SvyMZYDc5IaYQoUgxgt0N5h4Ynog4wBo0RS0y\nueNP14Z9wN3qo3jgwCNC+9T1HjKIwGhUAopl2XlDL7eO1qWu3kltvbRB4eVnA75U7XASLV6R\niGN5CIU8objrnDYEBcowD9mDYEop6EkwFOiUhrhlZvtzfgKf1Q9SP2/9c5mbDLCbupDyaJlM\n6LnckVrZkC4etdkVsXCTYvQQFnSlJGamcKaqyXpOoDOKdGFEtY2eI8o81LIV41LLQNlVvSkR\nShF/IbGKQfRGAQR58CGAmqilHFrxcOIkhI7dRkAiZy9/YIgkr8RxZL+yqsLDLxbhnnPeP8HZ\nygC7SQtXCDnRzfe+ud1u+/0+hNE/XMDVixKjBWSPVyl8plSOnAt352Zj1SNXIMlr57HqCQJQ\nqDXX1ruK5UdbZGpLBAc9K9jyFm0uhAnJzZ5o8XAxJ6dyi3afRgo5oHXFNbXbbA2DTV4SyoSs\n6ZwXT9pXqqtPhO0/RM/qGbsKhVmModo9bb903p7srqE8vLED7CYoyq3UhQqrEMJQ7r6VKsPB\n1ELUKzsau1vaIIbUFmi6+/6EaLO6BdA8x4BWc3qEU0rYddscX6yNAU5iXCc6K/OiKYqiWBD0\nSsWsHtb1vwH3CazJaRo9FTi/V2Ct3dYnYFOgwHqQE5tbB3dqGVwAU7U51FYbrZ26yh8BLhUN\nlaIOGWA3RdFPNzXW6sFc9C3QTqfXplYPohlb8U7/FNhckZC6fp3r4lG7EvwkpS2oBycJwZe0\nFBoccumZjaDBtORKyuN0aGEN08uh0BOmVPHFxLsN8xnhKeCjtWUIdDiKONYplWzQRJckkPVP\nPGCT+h/0TeAjI8Bpa+kRi7SOOM9WBthNTriKuPJTSgS75Cmc/K+1BEH/q0FtxLuwVq1dtwp2\nPK5ww2XJcL+Fp3ZRvTXPw4fQzsigPHMOCB2ZdFJZknUkTsGXf6Ud0x6t6p7gBC5G62HqbIvW\nETEeVIURX6DgE1AFlpPcf2bClJrjV5HMv/DZU+/TR6infeO71L9pc5MBdpMTVaYIEMh50n1z\n1E7PVZQ8zsPEVHeXArZVlEqauknrrEuDLR5MR8BKKSE84uXlhWY7+EmSb44DyLvf7wBEbMnI\nGFozWywWKENCrFl4/agkHkmMlC5LtF/aqicQYg2/ECStOqshHyv7fuQ6Sz0GPURYHiRWcvaK\nZKqGjxBPu7eJw0ny5/gEzVPE+Diq767LznCk4fHhB6oYmBkMtTOXAXYTFb7i1aPSlGSROKhS\nw7ecRCkQOlUSA6gFSsVbM0mAV+Hu3NsM5I7LjyY584UKyK6uhd29tAE1NfaNR5IIx8tpyY+c\nvzppgewoEPTR16SlqtSnthQ729QZUyKWWvtd/5snJPHVlDYMiGCnzJFpFfqAqljl2D3ioz5Q\nbfwvfAF/QhlgNzkpUoCb3KR4wpPSOutSOLGe1U6n64rLO4mfkSszQAbXJLLWCXaMOGG02kN9\njbQ0t2XmkhR3osrGzqRWlOQmT4EoEntoAnY8Te+lXSqlHF10i1UGwWRJ4FcYUvRMzoV5nA+I\nvExvbU7oqljxSuuN0YfFd8B8IzE2YuKG7m8R3qIeRn/zpZuFDLCbnHD9J/HK8UiWpDG+war+\nAJuqOCX4nTcv8/lQw6pit+JBXA5tCFiDUisKlyB6yByAvT9wFkRsZN+mGhAJax21Yw6BHl5q\nr7rZUG6Ld7IDGghCoz5mhqrr9Xr94x//iE1q9vs9Ls8Sd8JR26OdDMMzAiwSheGi4aNh3eAq\nvFJtBQQgPmIo+AHCUIQqjJSFWAKTNTfSKbXXdmYuA+wmJ0oB9IhSsNTW+1aNlZU8yDW4rgIZ\nNKF1bBnHA/UrbRwJ1xUXM4o4YRESYbnsYZ4Dy8NfswS1VbGym6x2spiFV3Jn35SyEeCs9Yoo\n2BGMQOtOpxMYU2rVQ7as86M/9PPDq4pvK0GTX2k3h1VKaB8wMv3C8Xj1gLvwsLTbCnn6vJRp\nKs7OWQbYTU4ILkH7U8kSm8KXm/U4yU3CS58lhkuBT6mf3lEXD/0hCy/7gXUIjENxNxR0Ywzg\nYrFAxTdA4UJ2RAxNUUlnx3IX6WIdJBWpI6KOGpMFnzy7DpGAqEbFrHsKRrqQxHuFIUUrzkkA\nPh1a7fZIYlM8QVVL/Wjpmf1nzwS5OIfWfQD0uSd3ffyFr+FPKAPsJieBeZkESagEmqbQZoJi\netDEjVhbszoP2qMoVhzRxFIzg/sVq3G73e52O4AdPADQfFEWeLvdZt+Tm7HHwfxEsCPAUVML\nUcr0V+iS5g96YzgodBJ191gIq0h6g2qyHHWI3dN+VjE4Kk7RkpDEh6s2TZ1ndl6frD56nXkT\noOe8abPmAI3hg8zqy/C3vpQ/hQywm6LghS4SNpzFhdoDWShvy5c7S/g+D3Kd6HINqyKsalbi\n3Ww2u92O6MNIlK9fv37+/Bl/AodCYCC3fTCz8/mcUtrv9wrHWUrdZd9jsEqQoHmUsiJFIE1E\nOlT9Vc2dMAQIrh5uohDD9N7iBr6gkJrUUNEjtRVlYblNjDV3mFYnfXxYuqEP99ahsyKL65lU\nVw/ik1PdMQWLLe22PG0wOxtgN0EJ6ltqjdzWaj0UHlF2kFq/rbJCNm4ttFkLK8lrSaLuEMAu\neakoljtH5B3I3fV6RR3g+/0OiEScHWx2OpDUFt1bLBZYpRgFbeoaVBFghSuZjEYd2ZwQYh8D\nnheypwep4qItMFXcE5JEY9W5DQ9O+1bEqGct+dKHaM6XQcqWyyXAGmWjiNfEODVfpNaXrVuO\nhXegDmZnZgPsJigkO1WsRUEVCoxGva4qbJPUKbz6SRwdbDBg5dPT0/PzM2AOeFc9IFl9CKgA\n/Pz8zNA8oBur76neyvZxYfIg5PK/2ju33baRpQs3qdgSdYh8mkyC3M3tPMG8/+sM4ACWJdmK\nyH2x0AtFyvtmIz+g/PV9F4ZtURLVYi9WdR06pN0ohtD3vYO5TWhvpVfQQ0Mw32Lb5DK+Mej4\ntnaf9/BK+4Zh8AZG8TXjSE5GNY5tuZA/D2m5ELuJ9e1PoYVOfwQLZfRhLXbRQhxq0cUk+D65\neyUHsbs61Fqy1H1boopJMhyhi5NnsiIeDZMyDnQOtca2jJfMJ0+UEskJ/fLly3q9Xq/Xi8VC\n9RJvb28vLy9D7azpTlPr9XpWW0560iqvTQt58tSkbvKLtWWX031L3SPGu201tctI0zSxeZ8V\n1u+oyMM5NASNhlU7zi/x+DhOosI1fRYl4llbrZ59iJmWscBNtOwyumLFiel4SsHpa/NONyhU\nnKeExUqbwPFb9q3OadLxgOj//vIL9bcDsbs62tDrrR1n5JbgyfpP+2L6j+/8k4M9AfqQITzx\nkW0C6Bd5WPP5fLVaSezm87mF1Yl+5/P5eDzu9/uu6/q+V86dmq9p6p7DlmY/674ws/FWWI4S\nlCrHOl7yZ2/Xa2ol3BXm87lV5tJD98ef2F8WBefxTY7x8tmk84JHaWI3RVssql4UXBto8Uzi\nQ5f44Cis8Wu6/IDxFliqI/y/X5H/X0Dsro6mLtXHqVvGHlm8spuQSVvGOjiRs1J1xA+VYAHZ\n/fF/ZHx1XbderzebzWq1ur291dNdLSuzbr/fLxaLxWJxPB71rBjEkKEk5bKR5Rbkan8SLVM9\nxTkifd/Pau9SSee51t7Pws6NcfSianv5bBjHEOLxHwrKrO672tR8msnATo4X/TjnefLRytjE\nK+Mo6sRJL0FPJ8o4BC94VrdeakPqZXx6GVugaUHsrg7PvWg9+RLXlCjBMIk3bfVk95T+cMnp\n0hyIFsQ57J4jpVutVpvNZrPZLJfLT58+KfLgxnY6n8PhsNvt5vP54XCQpWYhsFknS81KHTe+\nUTW+luesDufxlrI6KzWSOp/PKlHoxxmC0ZaJi1nN2J2PSuHRi2Pu4ZrVzpfRRivBmmtqtVkU\nuMlbNBcRp7ik6JVKV3pMLDW/Ywk24OTzRpkbxpGNMtbKzCB2V4cmf18TYktNidCjfW3+04cG\nxbPagXIYhq7rfMVbmJzCEkUzTicvxs9mM23rs1wuv3//fn9/v91uv3371nWd+hVb4KRQ+lMb\nZp9Op/V6/f7+/vnzZ0VmpXRO5VWQ0fsZOgtvPp/L+d3tdt4KWplxXp6TBukT2Zqzo11KaZpG\nYd8olOeQZe0UPD/XdV0xBqI/vQfuzc2Ne/D5S4nVV/GLKB/FBJwt6FIQF3XIW1c05ng82rKz\nqE2WVv1TMq3B1KP6ZRiX2fr71ZeVHMTu6vAl7k0nYhTVV7NNEk0hH2aLT16elC7WkEXrphkv\naTVNo4hB13Wbzebr16/39/er1UoObFNb6U0W6TV7m6a5ubl5eXlRW6e2bsUQ3yt6r7cBxT0U\nD3l7e3Ord5uxlpJ+3MrFUm7j1D6jVcPm7bnW0gm9o37Rf1x6VUJyX6mWUV8bLMd1gLiAcPnT\n4xOt7yE4rQra9DW/z8NlRfMJRJvx0rIbqhOgk7Qxa/ecNbuC2F0hTSh4jOkavtwnC08WAumL\nVKnUpIdYglpCculkFjlqsVqtlsvlZrO5u7v79u3bdruVJ1suWoFGbBXudjvZaG3bqmVAWxPx\nbm5upEqLC7quk6m4Xq9Pp9Pr66tCtNbiuO4WT/5cs4WtpJ7eOsmmpvIOY7/4Z92f8Hw+S+wm\nxlQcWwdkfEvwOUzCR1a6iRPqMfe9yn6r7x/x6W0tJonPjcZjdGAv36UNDf5wYA1id3W0ta+J\nVs2amsFrsTuHSqZSL27bdw4OlFIUvrR9JOx+DuOiWplmX79+fXh4eHx8fHx8/Ouvv1arVdM0\n6hQiV2u3272+vp4CmlcKU/z48aNU+0tpKLLXvMAvR3u9Xj8+Pm63Wzm8q9Wqr1nH8n9vb2+f\nn59ns5netw9Jc6VWMtid1yeVVnoovHYZbcDj8RgVR5bvMAxyqxeLxSzsuaPhss31M2wuPvnK\nhhD6mNyc7OFGW1WBF2/gW8ZrhWVcPxsNOmu6xW4yMk1dW2zHdYG/7vL8jUHsro54e5dv4qzX\nyTTrLzZP8EK1n17qmlGp93kv3wy1maXsC1mF9/f3T09Pf/zxx+Pj48PDg9bd9vt9TB9x6VUJ\n9Ux6Cx2jknu9pl5We4/pTCQrXdepolZrdjqZ5XLpNb7tdisJeHl5sXU2yaWwSziMe21OfHOP\nqgenBEFxx2bvvNOE9pk/w3ZuDiDE1x/GySUmqqofdbOpuEe49TH6pzaZz7X5/uQiiZ/CB0ws\n32G8WJEcxO7qiKImE8NpaPGYGMFoQrxPMzOmU3gZXqgY0wajk0I+ffrUdd3d3d3Dw8PT09PD\nw8NyuWzbVmaI9Mstkjzt9aa2NYZQzHA6nVwd4cw7ubeSueVyKTdWgQV5uFouPJ1O9/f3GgGd\noZe0PDKWGKuV6zTiWFnyHCKYiKD1yyVuHvBhGGx/xbVCG1w6jf6jEjGPRlujxkNolO/R8y0t\nupxNLXedqNjkux4CfaifKRfKCwWxu0K8zOzp5JTayZTQlW3DQVOoHRe6DzXVy6keSgxu6oq7\n1er29na5XG63W0Vg1+u1gsJyu9wfycX2Q1hHt5gOtYm8qiy0fufYq05GEQ9VnilSMavlcToH\nfZCnpydFRY/HYxN2nJn4ZUOILHsxMaqG1z2bptE5WOD6mhTtkIvewmt/pbqxjiecx2l95aOy\nsIkSxRefrNBNTq8JRr0+hV14S6qN04kZGy8Jm/zxovqV1+jvCWJ3dchhbEPOgRSqrYVi8X5+\nGY48HA4OhnZdN6vtM+VOStR0sHfLlrWluMSXL1+enp622+1isZDd9/r6+vr6ejwebTPGRA2d\n4Xw+tw8ocXx9fX1+ftbKneRMPQJUaass5eVy6WbF4ubmRv2gZAbe3d19/vz5/f39+fnZdqjW\n2tqAbRlLVVPXthT3mJhdlk5Zi4fDYahdQ3xf8dcRO5Foya+MNdTicq6N80opkni/TlNDRkNN\nE4nfr49pL5LyFEKZ1d5T/si+XXkl8VyzlIYQgLbGxUXbtCB2V4eX6n0bL8GfLaFc38s6P+u+\nXDZw7Dza+GrDptSlOmjyEPu+VxmDpmisrnfsQipZSnGJ61ATMiRSmpCebNpITKEGSaFaeiiD\nT/nJdjnjSrxE6vb2dr1e63W6rtvv985HiT6jXfUyTiQupXi50xlzTU0ALqFULipFM04MLiHp\nN1pzl6alx6oPG/GUkILnI625/hZMfE3fuizrs7D5hk1XXwBlHKnwKfUhs/rXX6m/G4jd1TGZ\njSUEK8pHK9CenHZ8ZOjJQjnXjpJxrtpOkWdaSrGBECeh30hrarLOZCvJymvGu+fYAtIb7fd7\nObCbzUZKOgyDE4lt3fTj1Lm+RleV7nc4HLyuF6smYsOo2XiDiHKRAtKM17nKOBN4uCCqW5S5\ndrw/rAdTzunE5bSt2l/kNjbjrMkhFGBEBzyefJTgPuQPTe588fz7mllZxiZkWhC7q8PGSKne\nhxfFopp8eGUPdVV7qMlWt7e3b29vkieVRsi5e39///HjhxoxKTtk0hxJvqQX++z0/fvvv/v9\nXlELn7P+c67V+/oITd2nVdVmXdepB5S96diV00aK/mxDsdp2u9VHdidkJ5HIpJWsWxdsEDVh\nQ7J+nJzolVC9wrnmCXrZ0RGJdtyzYGLl2bI+n8+Hw6G/yAfUOdv9LOPQike7jG9gseNAW/MH\nm5AD+N/MN9/JYtQYy04gdldH9Lx8z/e1PoTk0iG4RXGqlDpzTnXnVmV+eJqdaxXX8Xjs+967\nXFtxbF65I4gfUsPhtrZmkRVj6TmdTm1oEKBMlNjpRGrrbJgPrapoxTShGdTpdFoul9JTVVn1\nF/nV8ZeoevHtSrhVTN6rDfUnfWg46vH3LWciJdEsbUL9xnBRzeqTsQA1Yb+RybCU4NL6FhjP\n2UfG6Mc5FBRPjs8MYneNeK5GR6av+xX0FzHZEqZTnGZtKCeIU9Qz2caLrZU4x2xTWL/OtQzW\nhqQe2u12pdqVNrIcPHFCWVMXDX1i8U2j0dSMw5Q2xGSWxqo1PasdFxuUcfFAlDM7d/Gfl4Pv\nV44ecRuKw0y0p2wUT8Qunk8fQu0+2J6vf29C39Z23Mfl8qu8/KUfu9tQELsr5O+///ZMkBnl\naVYuKitljp0v9lce6vbPEojNZiO3UZGEvu9Pp5OTdWezmTo4rdfr79+/q2JMzZcuTRiVr7oz\nnebkbrdTeortvrZt9QqLxeLPP/9U8rA8Uz0aI5JRzvx23r/i5ubmcDjo9dXRU9UaFlBt1ajo\nc7QcJeiHwyF2Z+pruol+uqlyKUVRFAmEO2i2IfXHdwWvS/ZhX1q1OdApaZzVpCDa1CUYd9Y1\n65QfigN+aYSew45CVtg+LAIMweTXq/3zzz//x5ftbwCp1QCQAnohAEAKEDsASAFiBwApQOwA\nIAWIHQCkALEDgBQgdgCQAsQOAFKA2AFAChA7AEgBYgcAKUDsACAFiB0ApACxA4AUIHYAkALE\nDgBSgNgBQAoQOwBIAWIHAClA7AAgBYgdAKQAsQOAFCB2AJACxA4AUoDYAUAKEDsASAFiBwAp\nQOwAIAWIHQCkALEDgBQgdgCQAsQOAFKA2AFAChA7AEgBYgcAKUDsACAFiB0ApACxA4AUIHYA\nkALEDgBSgNgBQAoQOwBIAWIHAClA7AAgBYgdAKQAsQOAFCB2AJACxA4AUoDYAUAKEDsASAFi\nBwApQOwAIAWIHQCkALEDgBQgdgCQAsQOAFKA2AFAChA7AEgBYgcAKUDsACAFiB0ApACxA4AU\nIHYAkALEDgBSgNgBQAoQOwBIAWIHAClA7AAgBYgdAKQAsQOAFCB2AJACxA4AUoDYAUAKEDsA\nSAFiBwApQOwAIAWIHQCkALEDgBQgdgCQAsQOAFKA2AFAChA7AEgBYgcAKUDsACAFiB0ApACx\nA4AUIHYAkALEDgBSgNgBQAoQOwBIAWIHAClA7AAgBYgdAKQAsQOAFCB2AJACxA4AUoDYAUAK\nEDsASAFiBwApQOwAIAWIHQCkALEDgBQgdgCQAsQOAFKA2AFAChA7AEgBYgcAKUDsACAFiB0A\npACxA4AUIHYAkALEDgBSgNgBQAoQOwBIAWIHAClA7AAgBYgdAKQAsQOAFCB2AJACxA4AUoDY\nAUAK/gPf/lwwsj4xfAAAAABJRU5ErkJggg==",
"text/plain": [
"Plot with title \"\""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=3.5, repr.plot.height=3.5)\n",
"\n",
"imageplot(Pmean(f))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Note that this is not a rank filter (this a linear filter) and that it is\n",
"not contrast invariant. This is shown by displaying\n",
"$$ \\phi_\\beta^B(f) - \\psi^{-1} \\circ \\phi_\\beta^B \\circ \\psi(f) $$\n",
"which is non-zero."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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wem5qeitAaNJla5wCzCa8wNFo9DqbtCoQBvHfzZmdfyiSC1tW0zlRQgFZMkWVIz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fBLn+mWTwT37QHBw9XM9cpW0jsb1Qq1SY\nwaYAWDbwJPb7fZ4JVyBL0Lglj89oRkwTYJkI1vZAmVuubY7z98qa1jG3z7jSX1Fd1wheI6LC\nMpXMK5d9nH9aeCm6lUraasvv5e8zuYxHjsljGF2rFWyzaQ5Iym5L3Fav0r4JxUJkt4vgKuLo\naC9/0K6DVoyllAX8sjlahZkQKFlnEIPLg7uHpgnmAaHBMnIYtujYPp1OF4sFPuXi4gItQBDr\nJNNZM2DC2AXOCuo1ky3+HO6jkuxU/WakgNg0zLH9wcHB/v4+cqHX6/V8Pmd/J25DFvMflB3N\n/4nbexrKvk1rMQ5KX+/u7tBpHV25LAXTUY5mZhhGTsnsu0vxuZJ9kH/Ngui91sz1AqFbsHMI\nydUCS5CKiZ4dkoK3U6jjmFwSkgnmNw4hkA3RZaB2Y7OztIm7uzvkfyHTFV5CeJoGgwFEBzNj\ncAT2eafPy5p8sUntpLj46b/zjMNz9icfW6ZZmxzvYyLcIkxT7Ha7mCSNE/ay1x/fmvSRfURw\nZrXfqy24smPyCwVtoedzFuJAX2jeQ+Qt397e0nUQmrZ59hH+HppLQiocIrudAyxE5BKDjJhG\nBzqDRy9bUTASEeNDSBHmITZAr6eNa3PiGTOjDEv6BQYsCRHUiakI+/v7GDyGTiFelMWUoRJd\ntxVrRSH4QSy68AcBMubicbL/ekaLLXHK+3NwcHBycoLzQeMWz7zccuvuWaQ4SxAxJ70fMBiz\nS4O/MoQwGAxYZWxJp5t77HHHtjxvH5m3yD8k7juloiCy2zngJ47Zpv1+v65rdF6D0Iup5Mtb\nMZAn2JHsU6cidjZ6BHv6wXrkCBYYWVM0QU56TxyaBWFEA1I3er3e4eEhciYwpJlZaawthS3c\n7XYxRQFngt2pdzwFm6shxanyBKxJSbElSDMliHzA8Xj85MmT4+Nj1vNy3i4FZrugNWPn2hWf\nYAOyEjNpcEDmeJMla1ftgH8xvmM6nX777bdnZ2fv379nwt3r168ttbrx5RY4OKak4zlERwe/\nxxDCZDKJqYC3StnL/+bP8n8AIrudA2vL8TuG8bherzEnNDYbogBgCmb8U2Vg+5BmWWCp0DS2\nloETnfPLu7qZEkF7E805wH1Ye2xzFFOq8yY1Edi41m9IJYPlyG1icskTD4u12LIc/Z+sxYxV\nAk4SgpS5HRRBmU3KQ7Xf38p6Ps/Duym5V0bcuAP0OTCFiDkx9DCY49ngkiI9gbIvDpO9fSi8\nUgWFyG43wcVAg9SS6zq6zsN+fdap0QWrmqjXwClUeT6DrG4O1c6OGVJeXnA9VzqdDtJxV6sV\nllav14MURW/k2pU3YQNm5PZ6PbRIYaO9rXRGy9Tfjez11nP2/7VU0o9GTDHGm5uby8vLzWYz\nm81QD1u5RvBeM7btRP7VfwpeZBYub5q5FN/s+23vy68JH+0JLib/Az/dv65SNTQ5HV8H6A9P\nQdDf1l9aURDZ7RxYSBRceZMlE8bHE6jUzIzzs9n0MTpsUtsoZqLwgJltxdOIbmIOVxGz51ar\nFdpbAqPRqJMmz2PR4szJejRp0VWJH4EXwaHNJhlZcJs24/vrCq7WDUxHExsOOx8TyDJmMhXW\nftPcA4mpcJXL18sY0F+mvxZWcSDsg4QYv6/32VWp8DYLYeOYiBThKcLSPYrWtjouECK7nYO3\nFn2AEvYsTFrwBeOhjCFUbmYYtRh9fEjc48aInHI9WFOVcBlXaU4CZrjAyMIqxfGn0+lwOITl\nBekHNYHpMCRotJBDyzZzXMzWLJ7COm6+D28F7k/HzYpmpp41GxRjy5gMajNDWgx3R8TGkvjC\na5w5bwLPkB/dFpuxWWPfZkmfacgLx3/hDZjNZmY2Ho+/+uorJMRcXV2dn5/7u0EHKOxTn368\nv7+Pfu4Y1sMxcvT3kRz/7R/mfz1EdjsH/jpDamXBVFK/csCJ3Mv7dLi7nzAbUlUDOTS4ZOPg\n/HRe7lVVhWFXmHp1c3Mzm802rr0oBWNd11dXVxxAQ4JmXJjWd0ymMfaibCHthhRV8G4+SsXK\nlbgxoOlJhwzuFS61sKVwZ72ttI5c2bZb/ZH9NWYb+C/RnLNsq2DcbDbX19d//vOfUZYHUb9c\nLuENyEQZp9yS70juR0dHoMI6NVL25nNo2dFlQmS3c/BLEbFLchbDaviJM/7AVefVDZeZ352b\n+f+aqy3jMqYqGY/HX3zxxXA4vLu7Wy6Xl5eXKDzAEWDPHhwcgBYRRK5c5h3c8L53uVdS1iQL\nSzRBmmMM2pJljcQ0Gu8IOGRaLIurUkJ2UsM4RqjbHjfcfNKKv2Nb4RmcXjbPmP4c+FfudXZ2\nhklmbNbAQBP3os+OYXfeW3bHGQwGvMPgO/5UPK2XDJHdLmLjGgphDTC2gJ7AoBuKJq4fL/24\ner0SaafFeaOSKglHQG7adDp9+vRpt9t99+7dbDb7/PkzPn2T+oZ2u13MJ3z8+PHp6SkWZJUG\nNoKhkJ3HdiPYAM1HzY19oE8Kso7ilPTd7/c5cQ30enV1hfmHMSXKxGa01NN3TNVpYExcJime\nrgCSqaVHAjl6a1CFMqrtBq1dHh8/0VMnZmKs12u4REPqo1elVBiyHp8xlp4TbPOFNBTyGqL5\nYO3MICgZIrudA+04GizeCM0SR6xZ6oRFMhqNaPTBtGF7D2xGrWfJfoQPy0+SDSH0er2DgwMc\nbbFYzOdzTPaz5thZDMTqdDrj8Xg0GnFEoSW/IcehcvotVWSdmrtVzexZS4EaVLDinoCLUSBs\nZsjgY6zZWk6xeI+BaSkzEf/N0kRw8pmI5gn4I5Mi/ZnTpo7NbJVwT5QAl4/7Q06nMn1YkVHK\n4UWVEFLTGmyDftcPHKcQiOx2DkivoxlFceR//VVqU4x3ggsCcMFwgZH4YrJzfeYHFaK5fBS0\nMDk8PDw6Ojo+Pq6q6ubmBgWwXMmW6l7n8/nl5eVoNOp2u9PplA0LLMUrhsMh5jlw4IMluvGn\nV6W+A0hn4bWjOsrr1pDa+fI+8O55UvMKizt6ExJbtnWuJde+V2R+36rZeYmPB360Z3N/BH5u\ndFHUTqcDWcd4a+0C2VXKN6JMs+Sy9Oni+MqgjpfL5Wq1IsFtftxYjP95iOx2DogbcpgOH9Qk\nJmyWSRX86KNzPHEXsCejAXTqIYmEbiZrrsNer/fkyZOTk5OnT58ul0uk+89ms5D6DlGUrdfr\nxWIBF/uTJ082m83t7S2aU9H7ZmYoXWBmjDXtx+gscRyKdOb/RJrGCxqbXgGRi9tq0VLyXeVy\nFdET0F87XrMDfifNf8Bp0LlmThi2hRu/i9C0Ya3JfXsJMSWEe5Hov5Q2O8fkEsVx2PhzvV6j\nhxXyvYNz4JYMkd3OAdxUpRnMyB3hGrhzs2Ip7qo00xoDmJ88eQLKwI7r9fri4oKjWMiA0SVt\nWAqMDIfDo6Oj6XT69ddf//KXvxyNRre3t3/605++//572LCY2xCdU2m9Xr99+3a1Wk2n05OT\nk36/3+l0Tk9Pz8/PSbtgusViAfOQ07NiioTgTfj+8C+6WpJSqZ5CCHd3dzCNEa+IzoXvYc3I\n7/7+PvsX4K8cAokoR6aASJrBDXjj3ebH8QnEjbeynn9KdVxfaHxrIE3mhHui5KfwNUVfSE0G\n3759i5g1PoLfMgJcdbNGsFiI7HYarO33kb6YrFq6urBsMK2i2+0Oh0MYj3DwHR4edjodJpox\nUQ6pp96C29vb+8lPfvLy5ctXr1598803X3755e3t7Zs3bxaLBfYFuHp5SqvVaj6fI3TANlCx\n6c6n+x8XRYHJBYyQIhrBY1BZbMZYYwqh+PAiWCykXiDm4rnYhf5KVo+Q5fmooLbiBQLB2cK4\n7WYGRez1Fy1Zc9Vd/sZ64VylIgf61HAmeBRxd1qsRHAWdHQdwO7SIG1u5pkOL5bL5X/sR/lf\nC5Hd7gI/7tvb26Ojo8qVc6Ptkl9sFAshNQiIKZUkpsnzlIpmtl6v4VZDZzREAMCSr169+vbb\nb3/1q19988036/X606dPy+Xy7OxsPp/7wEJoWsoYON/pdNBWBBnI7KEGXxL1CHNKeOb4K3q+\nj8fj6XQ6GAw+f/5MW55UwnYv0VUB76Ux1V5SUTyaywthJJpOMWpDEqs1LcdO6llPbVXd39k4\nulEh5uxQ/43g/lhyvKJlQHQRZB4ntppxmtOPD7zv74PXuYVDZLeLwNMYpEArDw9/bEAWI/sw\nV2M2m/3tb38DecGYhWyh5kLkAeSI8Cj6qj958mQ6nf7+97//9a9//fOf/7yu6z/84Q/ffffd\n3//+99lsVlXVwcFB3cxAji4xYrlc1nX9/v37yWSyv7+PEdTwHHkJiQAxelh52xycOxwO4fib\nTqdm1uv1Pnz48OHDB4oU0hBSWKDamH0WUuAiuigKnZXs02lOT11fX+Oe8B7GZvVY5ZpQ+S/I\nnIPPP3h4ZzJBZ4lYGYjwMzBpoUeXK8PPorPVms1Q+QvhZtbkVmv6CguHyG7nAA0SUo2U1xTW\nFAt8DVJDxXsIAQlZ19fX1INwtIHvsC/6QeIdLJLDw8Pj4+PDw8Oqqj5//vzx48c//vGPr1+/\nhusNQzBq16gjUys486urKzSR7/V64/E4c0LF1OEOWgyeMoZu7+7ukKIMpXl0dARzG9X7YEwq\nMk8QwYVo6mbPKC+Xsvtmye/pT89fV0h9nmlvZkcOKScuNlW2tQRXdDEWMl3t4unWbDZF4qPJ\nzM34J2sqOGtpTEtu3Mp1FSwZIrudAxcwf9/0ZzPDlhWvnm7Ad91ul8YpJFsIgclxCKdiM7Qk\n6ff7cIRBaHz48GG1Wi2Xy7/+9a9/+ctflsvl/v7+8fHx/v4+jgaXX4yRlWHmFhUXMNJQEJTA\nadcuZRcsfJPAgCYqNE5PTweDQbfbHY/Hy+VyNBr5M1XszjwAAAlqSURBVMyIyVKaCD6UVqT3\nbZEmyOzmsoVpSOImWzNayoN4vUba9RyUUQ/B3cnFNMAteQDNPcbIsyEFvkMzQGGuOnDr2baf\njoKJ7HYQ/jdNI7GTisD9gx3gKoWCg2QjI3hPeZ2aHtNrhkmvZra3t4euTR8/fnz37t2bN2/+\n8Y9/ILmfKcGwo30NBpdTlTrCww+IAMWjR4+urq7Y1cOHJiA8IdzY5yOEsFqt3r59i/rQL7/8\nErw8mUxCCIvFgpkrJDJPeTEFaphH4h8YsVmpVrkC25iMcVKMF1N0C0YXbzHHbv6F14yhadLy\nnJFEybycmMxPxlKBTmpOxTBr7ZIlvWDMfjyWCJRJLZTShUO3YOdAIqtShezr16/BFPQlYQ2w\nLGGT2hZdX19jrmuVirHAMn7uPfkOE2nxKcfHx0+fPp1MJt9999379+/fvHlzdXW1v78Pfxb8\ncShBZYs6X6lGWynGuFwusdQfP3784sWLzWZzcXGBQ+GcsfzW6zVa4NWuIOT6+vr8/Pzy8vKf\n//zn6enpZDLp9XpPnz4dj8ez2ezTp0+slwD1sz4MR6AUgiHvBY610tO4CynMh1zoQMB9o7LO\nviyqMJ4Se21BvsHbmFGSr8TAHfAKsXYVZnzfnEWM/yIMjcbRMYVrILd9hISxoH/3d/nfD5Hd\nzqGTuhtRxOEX7AUdjVlzhthyuUTiGKXWo0eP9vb2MGAbtiSYEfrlq6++Oj4+xr5ff/31ycnJ\nzc3NcrlcLBZIOoNAgBKhLoPzjo3YzCU9wAMIcYdai36/f3R0dHFxwbpXSwkfWOQ+NyW4eo8Y\n4+np6fX19dHREWozUBXrtaQ35bi8qZUopsDRodknCjuyZbwXXxRHPqHEtrnhuDGixvg6mHLM\ncjdyGb9B2vJeRVpTG8ZU2cLLpKPQXAYPHjPmBmybI1P4CkJqg1w4RHY7hyrBml3evJOoTiUE\nJEFEJLHAmG2L/I9er4eKLqwHTAjrdruHh4fIjDOz0WiEPF6airFpAkMgYC90IkCGsCVe4BlC\nYFZVtV6vEXiFIYaGKHtpGhnNYV54dB6xu7s7JLvAKuensOOupydLMcqYUpSZfNfpdCBLrRWd\nwGkwodeaHZyGwyHJl9TszWf/feG6+v1+SPUVAIZecvvo8kusmTxkzRRifnTH1f+R6bgNjwbF\nbc5xwZRAGuz/8R/qfx1EdjuHg4ODx48fY8FfXl6Sy0IaH1GnCn9EJMwMKSloggalhoItM+v3\n+3t7e8+ePRuPx+hGt1gsQgjoxLlYLGCuYsCgpf50SATjKqVpVtc1RmEwsQPE+vjx481mM5vN\nLi8vYUXOZrP3799Pp9N+v//s2bPLy8uLiwtfmOVTKGLL9wSrOaSJtGY2HA6fPXv2/Pnzuq6v\nr6/fvHmDSK655nF1KgUhC4CjM4ohcP5Qu3hIcEsmReMImHlE0oSjk/qRSdRQUqRRfGuVK571\nROnf8ezJe0I5HN0AEGsGYRlmwaPIzOC1iMnGxw1XBYWJ7HYQSO6FBEMbW3MFQNG5bPaaHd+8\nIjCX+2ZmdM8xkz6EAJfZer3GlFJLphAOWFUVBFpoerVOTk6wMdUKEveg9aDXEGBdLBawE/v9\n/mq1grigiy0zBmnfWTOwWKeJZaiWHQ6HlZukwdBHTNWsSGTjNYLvsNQzpmDQ1ms9Xmm/38eF\nIMzNuivqqejM2BgjOptSGGbGLx9R/CspLLsDBHnQPxKis4L95USXG2hOw5Ixvf1eLER2O4fg\nBuXgnZgyb72Tq3awZobXJvUihxdpL82dIC/E5BpDai5rlWB2mWsrUruyypDyziBtuJY2mw10\nDVz48Oih02ev14MSpDY0Rzd+eWeqx1xSHqIr6OeOgAm3AWt0XIcYarHKwZwJaU7ccfeQ0nc2\naeQY+gbWdY3xaQgr8z5ntAKVituFT4f9Doq0ZmmdNb2c/g54K3XT7LTqadHfPfKajyzzs/jw\nkBlrIrsdxG9/+1sQCvJpzSXQmkuwGg6Hg8GgqiqoM0u+eaatWhrCUtc1B4ki/gDWgGELqvrF\nL35xeHj45Zdfvnz5EuEFDLvwphMW4atXr8wMqb844f39/efPn6MH1Pn5Oaizrms4DSeTiZmh\nHR5yTdpkF7bFCmEeYrQCJ8gg59nMfvOb3zCLsOO6sEDZhZSRG0JA3CZum5EIEQ2Chn8QzB5j\nPD4+hk2KimMGbapm3UhIbVoGgwGDPzjD/f19zJSwpGczAcvXsenLI+uZI7vg8qW9soPOhb6m\nMvWJ3DjV3/3ud/+ZX+d/MzR2SBCEIqAuV4IgFAGRnSAIRUBkJwhCERDZCYJQBER2giAUAZGd\nIAhFQGQnCEIRENkJglAERHaCIBQBkZ0gCEVAZCcIQhEQ2QmCUAREdoIgFAGRnSAIRUBkJwhC\nERDZCYJQBER2giAUAZGdIAhFQGQnCEIRENkJglAERHaCIBQBkZ0gCEVAZCcIQhEQ2QmCUARE\ndoIgFAGRnSAIRUBkJwhCERDZCYJQBER2giAUAZGdIAhFQGQnCEIRENkJglAERHaCIBQBkZ0g\nCEVAZCcIQhEQ2QmCUAREdoIgFAGRnSAIRUBkJwhCERDZCYJQBER2giAUAZGdIAhFQGQnCEIR\nENkJglAERHaCIBQBkZ0gCEVAZCcIQhEQ2QmCUAREdoIgFAGRnSAIRUBkJwhCERDZCYJQBER2\ngiAUAZGdIAhFQGQnCEIRENkJglAERHaCIBQBkZ0gCEVAZCcIQhEQ2QmCUAREdoIgFAGRnSAI\nRUBkJwhCERDZCYJQBER2giAUAZGdIAhFQGQnCEIRENkJglAERHaCIBQBkZ0gCEVAZCcIQhEQ\n2QmCUAREdoIgFAGRnSAIRUBkJwhCERDZCYJQBER2giAUAZGdIAhFQGQnCEIRENkJglAERHaC\nIBQBkZ0gCEVAZCcIQhEQ2QmCUAREdoIgFAGRnSAIRUBkJwhCERDZCYJQBER2giAUAZGdIAhF\nQGQnCEIRENkJglAERHaCIBQBkZ0gCEVAZCcIQhEQ2QmCUAREdoIgFAGRnSAIRUBkJwhCERDZ\nCYJQBER2giAUAZGdIAhFQGQnCEIRENkJglAERHaCIBQBkZ0gCEVAZCcIQhEQ2QmCUAREdoIg\nFAGRnSAIRUBkJwhCERDZCYJQBER2giAUAZGdIAhFQGQnCEIRENkJglAERHaCIBQBkZ0gCEVA\nZCcIQhEQ2QmCUAREdoIgFIH/A4c70LvVnhq0AAAAAElFTkSuQmCC",
"text/plain": [
"Plot with title \"\""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p <- 100\n",
"psi <- function(f){ f**(1/p) }\n",
"ipsi <- function(f){ f**p }\n",
"\n",
"imageplot(Pmean(abs(f)) - ipsi(Pmean(psi(abs(f)))))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Opening and Closing Rank Filters\n",
"--------------------------------\n",
"We now come back to the discrete computation of a rank filter $\\phi_\\be^B$\n",
"for $B$ a square of width $w_1 \\times w_1$ pixels.\n",
"\n",
"\n",
"It is defined as $g=\\phi_\\beta^B(f)$ where\n",
"$$ g(x) = \\text{rank}_{r(\\beta)}( p_x(f) ) $$\n",
"where $\\text{rank}_r(v)$ extracted the element of order $k$ in the\n",
"sorted value of $v \\in \\RR^Q$ (here $Q=w_1^2$). More precisely, we denote\n",
"$$ v_{\\si(1)} \\leq v_{\\si(2)} \\leq \\ldots \\leq v_{\\si(Q)} $$\n",
"where $\\si \\in \\Sigma_Q$ is an ordering permutation, which can be\n",
"computed in $ O(N \\log(N)) $ operations with the QuickSort algorithm.\n",
"Then the ranked valued is\n",
"$$ \\text{rank}_r(v) = v_{\\si(r)}. $$\n",
"\n",
"\n",
"In order to be consistent with the continuous definition of the\n",
"rank filter, one should define the rank as\n",
"$$ r=r(\\beta) = \\lfloor Q r \\rfloor. $$"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"r <- function(beta){ min(ceiling(beta*w1*w1), w1*w1-1) }"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Shortcut for the rank filter."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"subsample <- function(x,s){ x[ , , s+1] }\n",
"phi <- function(f, beta){ subsample(aperm(apply(Pi(f), c(2,1), sort), c(2,3,1)), r(beta)) }"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"__Exercise 1__\n",
"\n",
"Compute the rank filter for several values of $\\beta$."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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H5+/rHHHuMBjUZjcXERVVJxBi/YP5vNzs3NHTlyZDgcTk5OIqPthq1dW1sbW9CO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3mUfrxgW4p/aADVoKwZuT2DWtvgQQAbRiludY\nsbfEN6PDv9A3BklGp8V2rQYI2Du82N7eVmAXDCdMgb2Iz7GkI2/cgAAKmWNXKpVU35jHK/pU\nskOxbNCZF0HV4Do5Z7Gn833g7FqtdurUqU6nc/PmzTve3b7Y4RUDwwpIqWHLOdCwSqWysLCQ\nJMmrr75qZuASuD3oC21XEom4VOx7ginWCSLCQf4Z+YBYlNvU+NU0dfH5IrhCspKRTx5Kfdcm\nPWHkY80BfxD7nhmK6kzmOY+JxXi/PAnewWzhnsSMovx2y4xG3rtGcqe270aeO3AtgiFkZjs7\nO+RxdWRyagDh4a9a7qcsFw7QqWSeOx+7M3Em5jdLpb7yE4qvnc9GBVeXSrGqKjjwJKxwinJp\n2pjRrJPdBVfpXOZUcp5KV4THfF/NU+SVax1JpVKhzj6udprVcKAM1HLgkAS2F+0StV6vF4iJ\n3EPEIxHb5Zg8Qt2j9Xo99pPc/cgoipCqS8P7g8HgPYrJVcRMaiMgVJQ//sKFC6gAO4CT6HAx\ndpZNAuBuxDwejZsQBtHL2drampmZmZ2dZYgnygkuxF6dlRUS4AZUmIBHcs3lCUGYB5sZVnNS\naPgT21byjvSDASMCS0WRC6xbp9MBCc8IMvhn+jp62kjElvV+iRT16bEqwvyikHpzPvJVq9U4\neRQT8NYQCyuVSo8++uitW7cw85G4OmUa9tE0dE5iLMpWc5OFUj8+juNvf/vbL774InRPgtMq\nQ4wXCwsL6+vrPAMLmzhtzY8ccM+WQ5OJSArz5KlXjmQEmQAI1xAEeoKphE/BKQJuQzu+ZrPp\nnOt0OvpFusIE54mkDolbJlchnsEk8w/XTBCJ1QZlKDqD8NOgDyZIO2gEViqVwWCwsbGBdMB+\nvz9VPDkIht8r0Ise+9MkSfLmm282Go3Tp0+PPQ9SF0w4NoaSeNji4qL2PtGPa18+9ha3CaHP\n3UHYHSFau93WnuyBjUVpY5d95D9UKpUgPY43kt+z9L8oOqxUKmNRqdJ+gVUqlbm5OVTsBo09\n9t0OHbADxgLCGA6HXBMj6TvJI3W5HAwG3/3ud59//nkk39BvTn1tHSKY5gvoAHdG0ikVyCny\nkdBgtJG0iHytnAkMpc+Ng1NfJ6vAi8czA4/bRiQlpXFWdsj5pmEEjnn2wjwJoaRm7OXlgm/P\nkzdBfjrvkYAgwIv8OHf0mZmZEydObGxs4FLzyhRTe5CmrBugBtVJLEcnc+zh10QiGqLwTGIj\nrMEw47/UQ4FhAANOYdjjGu44GAKakDCRw4yXPZKWZZjOvPJJ6ztGIw7e2dnRuijCREI9/ilg\n97m3RT40pk4jHhSXF95FNK7tRDB5oWeEkFkURcVicWlpaXV1FRGG6Tzad8s7ErRJcYkf/OAH\nY4Hde9eHu1syD/Shfq+eIYBKKysre6f0hsPhJK2WvOUfoE7YexjkkBbXd9CZNzjs+PHjbCRz\noOzQATszc84hVI92Rk4UfVw2S4CLJtbKTqfzyiuvfOITn2DFHBZcekhY39HbBC+IWgjUut1u\nkLijr4nYIqkZTHNCIXgxkl7jZMLgnGFrJPgzv8cAxhUKBQhSQOV/a2sLqzwZiFTKbFNf82jZ\nDFbOHEr0MWCU+PpfZhCmXlLVJJmds5FTSL9U90L4sgsLC2trayPpbDO1fTEOA8AsLusKR4i3\nIGjCn7LX6126dOnMmTOsQ0ImpUmqGcfq4uJiqVQCqYwiWcpAKrcRS9Yp2XfzaiAcveS9zLsW\nzgtxp1mFFBNxcqWiTUorYqn4brVaIMCYA8QvwizDCoDzjLxES5JVGOZTJZxVbEcgy/eRSYKC\nEl42H77+iwIpdOaNoujMmTNXr15ttVosNJnavpj2RUD5f/6YsTmaSFcFRlcJfRyp6WJkkp5+\n+unBYIDuqybwS9kyTCuGHTGuqNKqlwqPrlgs5htR6MGDwUA7cR05coSvUWkRTDomp95D2Snl\n0PUxsngi/0V44bz+8CRjJeLq6urJkyeDv548efLkyZNf/vKXx8Zq99EOHbCDH8Alu1qtxnE8\n8lKfJuJY5sM6sVfH7fV6/X5/e3t7cXERuEQLXU02s8cff/y1114b+TZizufoWDagoyDJsvIN\nltWdN1HGT31FrU6hRDpjEtWRCNGF3nw+0Gg0QmZDu91G/KjX63FTibP9yIOvw5+Q0xMc4CSt\nJ/ZSdoRusVc7K+T6GgVZU4HFcfzQQw+98cYbIN6nTMM+Gn9TcG9pmnL1D4AID1ZSanV11by8\nahRFaDsR4CfnazYRsdVWxYR9AYUWzCYs8cHI14MB+5ww5eYLbzksmZwX5VL0eIOAm6PRCN1g\nkS2Ay+a96xwZeWU+3AKLMNSHVGbRxikJY0/VRIjg13FexJsPqt/vA9uVy+VnnnnmlVde2djY\nuId0q6m9HxJnGmsAACAASURBVJZ3Vie1NwXO+OEPf3jhwgUkz8VS+zzWnK/Rzv+JA4ALeP5K\nkKvDgxmbuqPlERWNeqsBarx+/Tr72/LNIJQ8GAy2trbwmvXye7mesVc46U/c0xUob21tAcse\nO3aMhSwXLlx45ZVX7u0C3ic7XMUTTKPhO2xblGal4CynAMddh84E3gFpF+xqNk65AAFcrPuA\nJmNX1eAKuUulkugNYDcS4w2macq6vGAr4l7FucTsOmxIaVZGgV80dl/Uexx713oj+NLEdwbT\nx+VEplgfF/+E8KtzDvV9+R19ag/edLLQ09Bxwtf0LtRPoDKCSUsiDYyanwgIOdGf4ac6nQ4m\nr/n+E/lRyuOJovTy1E3KZyCMckqTnGgup/WIh4DiPrCYyLpLpYMZpmQqyuT5VPSxUFUvDB9E\nwpw2yOH3qsqS+RUPFwBSATNxYWHh3LlztjcliKk9AEuSZGzeG8cwhs3uMh93tFOnTjWbzc3N\nzUl4y2SDyI/zgrf3cg2BsRA+SRLSe2hwfNTb6dOnF7wFm2Ycx+hnE2RSPUg7f/78g//S3e1w\nATuES0zqd7rdbrPZBIOFgUsHmtuV+fV0ZmYGgSEkFmgUH0bAVCwWH3nkkVqtFnmBKwYltZLA\n+fw2hET5dYmIR+i3cFlPvAg+S+EsqzzCthmDwQARona7jcvQzWxra4t5DCAS0D6cy32Uq4rg\n+7o/BdCWWyYNlw2aQXk+Ysd8ug8v1WRjfu655+bn5+NcDcfUHrABSWAMjEajnZ0dQJnIl2fy\nV6aUSQDZX3vttVRKCswjJwI4cLqlUuncuXNIqlN8BtJ35Otnne+mxWhOIn0sogmG70183wtN\njQW1T01jXFvfGz4YeT4ecy3fGQ9bDmoXSPwHxYNUdSbA5fQxP/LxDOGqQd5ZZ2jqi6LGpp/y\nklA2iCzbQqHwxBNPYIG6r+Niau/JdnZ2dnZ2MI8IZYIyI46Wt956i5HWPVJW8/PzzzzzjIo4\n3tHU1VfLb39jbXNzE7lJeyfVxq7tOke48kTCo3Me6ac0eRcG7Di2whfbJYIDYynJ1dXV1dXV\ntbW14GlA4HaPd/dg7HCFYkFlWXboOOcghUpSDZsW0s7Q/si8v4Kh/NOf/vTWrVsf/ehHLcvS\nKUCpVqtnz5598803e71esVhEah2jq1y4eSVcuKMJDZRMBLqcc4j/Rr7Sgut7MCvI8Fm2mBFP\nA4OYYBFlUFEUVatVhtu4wUQiQec8hZ76/kWjXOsnwi9CwCjbED1wB2Ppfhv5+JfJzjQzM3Ps\n2LFnnnnmP/7jP/bFM5sajIjHsoohSZLALwKZ5JyDrptzTnVW8ftC61ELetToVgG0PfHEE2+9\n9Va3293Y2HCS2BBsOfgvhcF0sJFcDEZOwTeZ5exgoB+xSz1zfsQmSdLr9brd7ubmJk7FvLdC\nobCwsADHCc6V8yl9JoyaNqLggA8cJH1uOr/0RpCMgccVSTZF/rQ8W6PR2Ht++tTuu/Hhg0wF\nnkuk8QkNuCFfJ/vNb37zV3/1V4MsMZ2eMOdcuVzudDoIxF+8eLHZbL755puW1bFTS7OJ3bvf\ngoZKd+HzUOh6R0y5e5wXRb67HOCyoap8ZEyBsh6peXJ5oMZ3/k9sPYeLsUOYkv/lL6SxpCir\nHueyRZ10oDc3N5vNJumooD408uTfww8/jE0OOIz7kC7cjAQhXqPoMIgH8ZJcNnypu4KJL0Wo\np1QHv5T15LH0SoJhh2ZeNq824NXwRcC7yQS9PfN54rHvihvcOMlLPhyeh2/isF6vNzZaMbUH\nbBTZMVkZGQ+ltK+OhwBVAH59//vfn7RKkuSDMMrs7Oy5c+eYAIqRA34ucDx0UJlkfI5lHZyw\n6fqmXgYWBw5+J4UgzuvAIUU1fxdxHEMWi0IM+WvgahNJvofzZbyKRDmPNJWCcxw3Qrxr2eUC\nl4d+HvzUHTtTTe0BG3BS0Id0j6YRkuBPkFtbWFg4cuRIo9E4derUiRMn9nIlu3zXPVwhbOht\n7x+p1+vz3na5csjaISzLuIFCtOFwuItgsm67Y9//P2SHi7EzsyiK2N6R6AcxFAXyiGugIkll\nupyESL7+9a+/8MILs7OzLktfma9rg9Pz1FNPvfvuuzdv3nQTpElSXwmL90ci5UVERS/feU07\n8xEi3T4R+Yq9yBavh8UipAk3NjZSiQ4750qlUuorAfVRcJXRL1KxEjwWBZfcRIF6g+2Kt690\nAg7TPSzYwHq9Hu4O9OpB0w06bAZ+iHAHP2Kv1ytku3GXSiWAnm63qyL1GDabm5v/+q//+vzz\nzx8/fpwBfVII8BkwljqdTq1WO3funJJ2MA5pXgywXbFY5FxQlivwVaIoGkntFLfGyMvjRZJm\nQAdJhelRXoopkPi+LDhJ4rWI0zRlrTqOdJ78xqno8+T5PDQMxKmIU5Xhdr5CVik9ZQE1a0pp\niUqlMq2KPQjGMYw8s6CNGG11dXVubo4S02a2s7Pz0ksvfepTn1pcXCQc6XQ6ZJqDole+npmZ\neeGFF37wgx8AwHEYgPhAtij+xFOlPk0zb6MJii3YQ9M0VTjFQiiwCdhfeHL2w3DOwY0P1JVN\nxjZucJeqERgP3p2D3Hu+6XA4vH79ej7OcHDscAE7BBnzPrp5tSczgwCK+dEDkjmWlH8MwX6/\n32w2b9++ffLkyV/4hV/AVEx9kx8CmkqlUigUarVau91GMSAxGVd2ZQQ1WkrcGXm1PEJAvqCg\nA2/EeQliSuQrEMSZOT/xQQRhuZPhr1ReHXllLwWCsU8WjHxRsO4oRJxalht5EQomPQQ/gfOp\nUcEEI8EQRVG73R4OhxC0u9dRMLX3auSN2GI49UkCzWZz5GWu0zTd2dnBj468fup64DzYRb71\nrW/93M/93NLSEiYLgRdzDDBtS6VSuVz+yEc+8tJLL5kXDlV8Zt6xIUQz0SUxsyiKqLnKAcnU\nCzgzLluTjnnB+aVBW/PqLSMvbAnfw/kMV0Axdfn4pWmaouiKo513HUnBbORTFzjpnDD9lkuu\nSL2ApYn0jF4Aa0S4Bk4p8H00lQLJW6fTCbRsYLraNxqNTqfzta997dSpU4899hjqNLXtWN4A\npzDaO53Od77zHbwfwD6kzMZxvL6+no9LplmRBDJwcRwHcWGQIxooIxcICR6+j/xC/ezOzs7c\n3Fw+cw78NyuZdrnZwKIo0n61wdcF7IxGsYLtZmtrq16vB7VZe7+MB2CHC9iRnWKGNQ0/J7wH\nFmnzl3Y+OQY/IVAdABB04EDs6XBnQQNenD59emNjw4Q24yaheIg7jX61Xmoisiz8a4C9eEex\nl9pSqVXzdRK4NoIt51yhUJidnaWUHR+aPihydTrbAxYkiCAHUVpuqMrPBZQeXEAlJvE+Swvv\n+FtP7f0zLrXkkPA+RmOr1Wo2m/QT+Ce+oK8CW11djeP4wx/+8IkTJ8Bs6SyIfc4lB0mj0Vhd\nXdVZo45Qkm3HEomgiUmLF8ttCcB8nHpKJ7tszmvggJkPkhJcona70WjAIcQExPXT1QmoTZo+\nKJ6c2Q6By2cyd4JQAN+3bMcOkkOcXHv7zad2/81NyKVutVpRFM3NzelCp0H2vN24cWNubg6u\n0d4vYJeChnK5TP+/1+vtXhygI7nZbCo/tzutxa8AUYdvIf9XLBaPHTu2+y0k47SxJh2TfzjY\n8fU5JL4BDP6rPXZ3mSybm5t3vIwHaYcL2FEQFWERXe5hpVLJOYf6Gq7U5KVw8Gg0Wltba7Va\n8KhmZma+9KUv/dZv/db8/HzBt7RHmN88IZckySOPPHL79u319XX4K4HPbTlNYH5X6nVNlbQz\nGXmKzEjOjXzXI/MZhIkX9LesAgUOQzoCJiT+yrragm/qGnvD90bZrCmTvSTxAsUjadmkkJek\nHbfeJEm0JRS+VJEivy6KokqlsruzO7X31XSxZr2q/kbLy8uVSgXLNEYFgSAq8pyvB9/e3l5Z\nWel0Ov/7v//7mc985uTJk07ijJrqilPNzMw89dRTV69evXz5MmI6aba0lscrMAInRzSm4U41\nQkn+F7EkIqc0m1EexzEaGVOiEpQAw0Osxdva2sLFx147iR5d4I/pXWDOxiKMEnuJY5KmWF4U\n3eJ9bmZku7nC0O9KkmQvPdqn9j4Z8cTQNwfnr9bpdDY2Nh566CEejBWv0WgcP35cYdaNGzdW\nVlbM7Ctf+cqf/Mmf3G1s/Yknnrh69SoqewKUyaQgG4ftsJGhWihwUXCpoO7w782bN6NsspOZ\nbW1twWOB3ISZlUqlfr/faDQCKWCl1nTTibPZ4bwkzgVMw7HumZklSVKpVIIz7MXVSdN0eXlZ\nU1SnVbH7acQQWNxH2RZDeAd7ABAb2Cnkbh89ehSaDk46Z0Padzgc/tM//dPCwsKnPvWppaUl\nnAHyoURvSZI8+eSTP/nJTyAKitQZ+s28PPPjMgih6l0ogDNpVhGwEUgPct7AhTDEg4hzkiSl\nUol3ysRziNup659I53JuRTpP8C1cCGIRd8BftbGSCWjj3RHMYUPl1+lOj4NnZ2fvr5bS1O7B\noijCGMZQR/TfPJJAXDLyQo+PPfbYxYsXC4UCJMEHg8H3vve9zc1NBHNRx/eVr3zlN37jN06e\nPEknBMEgYiC6CidPnnz33Xcty2/FPttM47lOcj15pImOD28HwFSJQKUDlTaGEb3FPrVufn5e\ntfXTNIX7BwaRVPfMzAyitzYu6ceJOIuJRjq3fEWx/AgvUt8c+04kCYL05aa2L4bhpwn+Wmxe\nLBZXV1f5u3/mM58xs2q1euLEidnZWeh7w27evLm6uvpXf/VXf/3Xf12r1f70T/+Uf2q321E2\nX1nHPNKEnnjiiR/+8IfISdXLI+LZBevc1Toc9PjmIq85hXdURUHygFItbLnBbzGzwWCgcd77\nC7x6vV4AUn/+53/+Pp7/vdsh3R2J8EzSX/QA5pNVKpUnn3yyVCpVq9UkSZrN5qVLlxYXF5eX\nl6MooswVBtZPf/rT559/nn65nhZBmZMnT25tbTlJONNL0lSeYCMJ6LEAETrfbcJyS7nzjdX5\nwqS1F6Eec9VRNAfoycpE1kkQQQaMSPBfnt9k69L3idXyn+UyxIiYkwwqxOmKxeI0x+6AGLlt\n/AtiDL9pu91Ga+16vX7q1CkknMVxDDDxwgsvvPzyy0tLS+vr64zI/PCHP3zrrbdeeOEFEHtj\nS61xEjRzjLKNhgl6dBawC1mUVRWBkblXz4HukCI8Hpa/pLGGM1AjMxG5x8Sr5ZlstArFAnY8\nsGgcWa7+D5lyPQkWK8WI5XI52J+mtr9GgKLyonEc//7v//7unzp58uRf/MVf/Nmf/Vmr1frR\nj3506tQprVWaZFDkMUmM1simVggFH9zjFKCxMZcOcl3bdzfMlNFopMLmAU3IK6/X62T4kqxm\npJlBgMnMtL31WMOipEDzbu96H+1wATuySkxzMU8DOK+pgSOTJDlx4sRjjz3WaDTgaiPMWi6X\njx8/fvv27VdfffXb3/42cpBHvlv5z372s62traWlpQ996ENRFHHoAIdFUTQ3N1etVhHlNMmT\nw5cGjLFiO9bWmbQe4smxT5C6C8gzDkf+iaflToBJgk0IPbuYDIvEcMogK0dioo+KUxECBo/d\nsrNCwTQ+rqUYegx/LFKGlUqlVqtNgd0+WgDc+YJLLSnV3/zN3xwMBvChAyxSq9V++Zd/ud/v\nf+tb3/rqV7/a6/Wq1SpqzUaj0XPPPQeNBvUozPPTxWIR0xA1GQCUpLpxfvWLOMsmZWeSwCPe\nUiRHkEcuMM3q4cWSMMpvHA6HrB0hqlPhfi1CctIfGTyKed5dr5CTKICDvF+dhrwSdef0t5ud\nnZ0ydgfN6vX6H/zBH5DECuDLzZs3d/ns7/3e77311lvf+c53nn322aNHj6KeNPJpPDhGM7xL\npZKWvnJjsnG5a/S+8uwXRymCXfkLc84RHaprYXuTVsZmdOvWrUn1wnnINTs7WyqVtJIDys93\n/C48EGz3ZtZqtTBhd+f80CDn4NjhAnYazjBxi2dmZs6ePfvcc88lSULFqW63i6GAuDtX9kKh\ncPr06dOnTz/88MNf/OIXzccZkWpz48aNmzdvvvPOO48//viRI0dOnz4NYIQ+3NeuXWPaXLAT\n6H+jbJwI/Bl3CH5cyQk0OFd/KB8tNS/f4JzrdDqJF0NGvrmZdTodVPmZNHXVoKqT2gvdY7j7\nBqFY3pqCZk2ts2xoiQ8BgWNetrIpw+HwwoULP/7xj+/ut5/a/TNlW02C9b/9278NEgjukJkN\nh0NIJzSbzbxCDXJcXnzxxUaj8eUvfxlTL03Ta9euIRn84sWLZ8+e1TbkbHOM1DdiSkZpledL\npX+XjZMqpceF/7qsfpCTdqt8h3mrcRy3220OfhPqejQaIZnBJNyWeAl0ToSA84582BodXc0M\nEduR9Prj8eaFA4Pz8KbyCePMoOCpMJXu/vef2v2xANM4537nd37nzJkz+G+QAQlcVa1Wd8mi\nO3Xq1KlTpzY3N99+++233377yJEjH/7why0buBxrs7Ozk+qjNdA5VmQqcJZ4eSpLNOnb0Z08\neJNVifgvFIXMDKXx+RNyy+YVTnJXcCPFYlFTtNmQaexHxhqumUg3r/Cw73bogB1ZK7yDdfnI\nkSPPPfccRj8HcZqm9Xq92Wz2ej00G6HLiwX05MmT1Wq10+lgYDnf1Ah9Jt55550bN25sbm6e\nOXOm0WgMh8MrV65ggAbkcCo1sEpOwLBlMoqaz6hzvgqVGbh8X+/Rcp0eTGBf7Fs/0WmLs1ne\nsTQvt1wGa+SlU4Pz80jEfIOfg8AUxl0nkpCZogem/U0T7A6aJUnyiU98YpcDWGqNlTcoqT57\n9uyv//qvv/baa9T7TdO00+lsbW2laXrq1CkgRQ4VTDRwXUwM5fhkqp9lM6ZjKSfitwfpdwHY\nGjvmOW4DARe6K5xKfDiJFzCPpf6JHJv5aR5nk8EHg4ECQV6k5eZvcPEmNSJJVicl8PSmodh9\nNDBqa2tr+C9aGd3Rtre3UXKEj+drq59//vlvfOMbZra6uvryyy8/++yzk4gutUqlAkXGu7qF\nAGW6bN7qPdh7D8VonuskEIwqyff4ReZ3IqoaHRw7XBukOu707I8ePfr//t//I+ugB4OHI+G0\nvr5eLpdR9RZFUb1e/8M//MOrV6++884729vbcJR1sR4MBpcuXbp69Sqy7rjy6k5AJQIiG6IW\n0mDmV2T1DAD1qMzCeGjQoSiAXIRQOAy7CBLX2Gczlorggm9tSbrOzJAXH0uxXuQrKrTEz/ki\nD1ZN8pKwyVE2OUmSvGITQ8w4Uk8b5TIUp/YgjdOEQ+LTn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DugJ50rzLih149llq1JKQkU0ZAYPm3iso+2S13n9evXsYYDtDGsb9mQ6KTC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\nbpIk8BKvJZZIp1pVlLVc0VAktRc8gNQdb1C3edCHgU+GJ4B5hXS6y5c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8DOaNsvNj6tuLmYgPQzG/0+lgL1lYWIA3b2bVahW4k+ya87Ij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\nYDAYDAbDBYERO4PBYDAYDIYLgv8PDTcmSReqK2oAAAAASUVORK5CYII=",
"text/plain": [
"Plot with title \"Beta = 1\""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=7, repr.plot.height=5)\n",
"\n",
"source(\"nt_solutions/denoisingadv_7_rankfilters/exo1.R\")"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"## Insert your code here."
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"The case $\\beta=0$ corresponds to the closing operator from\n",
"mathematical morphology (min filter)."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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AbNzwKwhHpB+y7LYcR9Zi1NB5e2YJkT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\ndgzDlAIWO4ZhSgGLHcMwpYDFjmGYUvD/Dh4bLhCZfwUAAAAASUVORK5CYII=",
"text/plain": [
"Plot with title \"\""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"closing <- function(f){ phi(f, 0) }\n",
"\n",
"options(repr.plot.width=3.5, repr.plot.height=3.5)\n",
"\n",
"imageplot(closing(f))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"The case $\\beta=1$ corresponds to the opening operator from\n",
"mathematical morphology (max filter)."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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vI+ZPFLUh+xuW02oqfikOL1IZZvmStY7OYO13VzNj/GMsmMwSPaaAsLCxjz3/rW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\nHcMwheD/A94uNaBYeLqcAAAAAElFTkSuQmCC",
"text/plain": [
"Plot with title \"\""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"opening <- function(f){ phi(f, 1) }\n",
"\n",
"options(repr.plot.width=3.5, repr.plot.height=3.5)\n",
"\n",
"imageplot(opening(f))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"__Exercise 2__\n",
"\n",
"Compute a closing followed by an opening."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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AD4ECe/RMMY02c11gcSu8uKMkqlfEcgSRJY3+Ctkp/85Cff+MY39L+IUwtK3U2n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\nppllWbPZ9H3ftm0YhhDIC4JgOp1eu3YNFVCIxIEUKh3288qkK3M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6mSZIm3LiYTF05RmyLHv//ffZU/8ujuP79++/9dZbsthNJpMXXnhB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\n/w90YbSRPgXCpwAAAABJRU5ErkJggg==",
"text/plain": [
"Plot with title \"\""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=3.5, repr.plot.height=3.5)\n",
"\n",
"source(\"nt_solutions/denoisingadv_7_rankfilters/exo2.R\")"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"## Insert your code here."
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"__Exercise 3__\n",
"\n",
"Compute an opening followed by a closing."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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PY+/PBD9v0PP/zwueee+93f/d0oisBwQBlCO6LX60Gfinq9fvfuXdG4SzxPcXiz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",
"text/plain": [
"Plot with title \"\""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=3.5, repr.plot.height=3.5)\n",
"\n",
"source(\"nt_solutions/denoisingadv_7_rankfilters/exo3.R\")"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"## Insert your code here."
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"__Exercise 4__\n",
"\n",
"Perform iterated opening and closing."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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AAAAAAJAhF2H0I8QYACxGRZHhkZyWQyTomZlG/oHp5m\nYnl5eXl5+dy5c7lcLp/Ph16BolAoeKpDTLE2fAE4ikrzXSfIOhPbbDY1TXOKLvER2mAqV6co\nCj/NTi2nGexOp8NnDVOIkA9Cib/gp3MVRek5t8ySqW2DX2RZZgfkY4hMG7N/fUzJ7uzseN0F\nDBjz8/OUdzM2NkZ1nUZGRg4dOiS4OxNEkQbeU5670ySzaR0eXkC5B99Ft0S1ID1LgWiaFm4I\nsHVBD3cQ6AESBd+jnd7hhx9+OM4CT6xScLiUSiVWy0mSpImJic3NTdJv0StFELQFAhZ46lf1\nZzCQPPLIIwgGj596vV4sFgXXPEwC6a3zS2U6M5kMMxkSmLQbEXDY3cbU0/jaXrZV5Nrtdrlc\n3tvbc9Ht2JoSLt2YGVT8GZ977rkHHnjg8OHDUgRm4cLCwurqquS6nKu1kX0fBjY2NthnJ1Xb\n1jpVFIUveEz3OZfLqao6OjrKFvrgCVjLyV9dGLZXT32arA6XbGJyqgbUy3Vd39zcdCmDcnAE\n5YDh0petybC0LnYulzPtVSgU7rzzzoAtIXf5/v5+pCkbrOV33nnnxYsXTb9Sb2KW/P7+vulK\nnW6X7fsfpCaUoED2pBSGmyAfnEQJjZ2dneHhYZFHBh/HwDA8PPyFL3zhyJEjkl2ZTkFPdLgk\npG8CryRKmlnZ3d21XewODCQPPvhgv5uQUEqlEjzjIoRbGM6lQnpADMPY3t4m4zThQjhE4LBz\nhCnxLrpUq9Vqt9u7u7s9I7NGR0dpiTFbx/by8rIkSXxN9NXV1bfffvvw4cMRBXGcOHHixo0b\nzD70UXuYXELZbNYpBtBUHk76wM50UohZ7r3JCcX+pVVr6bPTQcjRls1mZVlm0x3WmLJut6so\ningcEENVVavl5rJIhcTdB7oJbPee9U1dnkhsRoVLeM709DQWIDuwhFXgid5kVmhJfArBE3w5\nJ5KorBuKqBROQ4C7osBfS7g9pdvtJkRHEW9GAmt9MkSccXDYpRTe276wsPDAAw+cO3eO/qW3\nl/rmQVg9mVSp/f39+F9mNgOa5DKdA4mqqjdv3vSk3vd9bh744+677+53ExyxrR1sEkR9VxKo\nPbaJCz1VHatp71I4j/XH5Kyc0JeZKk/0t55pEoC9fRt+lOIttJ6jl4tHr1AofPSjHx0eHh4d\nHSX30PDw8MzMjO3Gly5dunjx4nvvvUf/vvXWW/l8/r777pMkqVar2e7SbDb52DERKDvMq3pq\nOr5XhS90zw7vvGPYPinbO1MoFPylczabTZqoYWc3XRpJPVvZx4YB8hG4SOpMJpMEvbbT6bjo\neaVSCWssDir0AvN9R9d1EnSPPvro6OhoROeluNfQD8tnh83Pz29tbbGfKMDeBF1piOsn0mwE\nU+mCu9uYMOmXwhd6vljP9F4AAvLwww8nxNNtoo/uYK/BfUw+x2Pg8WJB8C6xocofTEonQQcD\nAIBISY7TkOEjmOYgAIedDaSImPzltqEfuq7TxhsbGyZF8OzZs5IksblcEcbHxz/96U9vbGw8\n9dRT9M2lS5fef//9xx57rOe+pEXxHisnPyP7/ty5c6+88gp9zufzfa/HFBzS0jRNY8/CyS+p\nKIq/GfWow6qTVlnAXZSfPn06tpaAeKhWq4899hjli0mWHpT8WbhUs729zT47ecSSJiJcSKZz\nxMT+/r7ILU3FtQArbFbJkzI2wFAhF0F9L8RJC0IkhjrgKBOd9zOIZRtddpg7lDjm6Tkimjil\nHD16tN9N8AZKAfSXQ4cOhR5Mw5euAuECh50oVh3CNABTNC+VQvy93/s936eYnZ398pe/LEnS\nN77xjevXrzcaje9///uf+tSnZmdnZVkOXumJ+icFPvAViDVNow+2HZi/fP7CNU2z3T50PU+y\n1IPntQr+M7uoIG0wxWZrmtZoNPgkX8JdszTZePTsrNXxstmsk3eVTS8zNZdsSx+XxlyNTsGY\npmP2VNqieMQgHmyf3fz8/IULF2imgWApY+KxBqmIk2JS1LZUpXi0ssn4pF7sIhOYAAkSu8FL\noXgqHGuaJssy4k1AqvnIRz7S7yYkBerRUjDXjEkdCnEuR1GUBGZlJnyyyj1fzNODhsMOAK9Q\nAqygmtT3LjY0NMQK0YQFXRQ/q0GfXVKDQ0HTNK9Z/4wEDjQuwGHnk3w+TzXpTHz60592KdLv\nid/93d998sknX3zxxc3NzWeeeWZycvLhhx9mbhcWFOD0mvJzF7z7qVgsqqpK38zNzbHssG63\n6+ON13XdFHQWaQAIWz7ChG34Q7jWrJNr0hb3O8kX6bPNKq3X61HMx3oKEhEpJwEbfpD41Kc+\nlYowIhYbMtguY9J+eKuY1y3iLB/JB+OIr54ZtZYGAPAH2VHdbjfEolE0+cGstYBDCa++9l3O\nJy1lLEi+2ABk0oCBIU6/FZ3LU0wfL3ki0o3DmuFmATc9qVQqB6Fg60ACh51nqtXq5z//eVpl\nQjBfrNFo7O3t+TjXxz72seHh4SeffJKcgysrK2zJJ5NfjC0b6uMsJngdLgohZXJFqapKa1D2\n3JHkkUkqReQgN6k1q6urUci4qLPbmLWfy+XYHW40GuzLgM0QL1AFEoXVTXzmzJm+tMQHpmVb\nglAqlagEe98nPEVIeP6Iyax1sXJhNILYYAM3S/MHRCaTib/KO18/lAS4SYxb51n7ZV7OzMwE\nnBfZ3NwMqzFh4TQTzI+AqZi3AyAgpFDZaiNeS8MzBJdNCz03QlCDHRsbS3iksG9c7oDLMJcu\nWQeH3W2sXYh/AxYWFu69916Jq9tFTzqbzdrGGZnizvz1z7kP+NGPfiRJ0rVr165du0amNVuG\nIqAVxxYOY9+4J5Pm83nbDm+bXJYKTP18d3e32+3qus5PfVgfcaVSEYlttCIYlWa6yfl8njna\neEj9Mj5A5MiCZDIZMrmticBg8Ljrrrv63YT/H3qN2ZrR0gfKE7nmQx9fWUcL/p5H4fWL2ZPI\nK69My2H33EXvCa4F2k4Ra5omfuROp0MviXUGQjxGJhWuW+CVCxcu9LsJqcTaHUyVSUwwvVfc\ny2Y6hUkOx5P1byJ4vhgpgfFnh/mG12b7HtIIQERY67zncjkyo6zqDe99C9fP1e12Y07GdFrr\nsi/ELNVdlLp06Xtw2LnBxi3DMB566KEgHSzI6ofz8/MzMzPMgr1y5YokSVtbW9ls9p577uHb\nGUo3iG60tnqy2Df8zWGV1019SXy2k3S+nkYaUy4FbXWRSDTbBTTD8mY6PZpIhY7twfu+/joY\neHpG0rl7xgXlLUmJflUE7wldRZKnAZOTL5bNZrPZ7OzsrOD2qai3CAJCBStPnDjR74YEIooB\nV5ZlpjEKBoaEi5PeoigKKXvxe46mp6dR6AMAYIIFTISe9R+1546l5YG0A4fdbVjMmmQJZX/g\ngQdCOcXe3t7e3t61a9dGRkbY6UQ89xcuXPjxj3/Mf0NLsTz99NMU9xcwa6BcLjcaDdKfoshX\ncjomnTH+uo897fPQb4JtrTpPJ2LjRCjuOa+DjclbSv+mq2AnYFhtksOHD/elJeKQfhOR64ps\n11B6vZPp66/luq7H2cs8+QU8pYzFkB0GcQRsefTRR/vdhKQTZEY5dGLO/Wdey6mpqb4E9MWJ\niA8UEXYA+INP+ZccupIp8iP4SpJW8vn8xMRE6FF1a2tr4R4Hnhn5AAAgAElEQVQwHgYmvgQO\nOyHOnz8f+jHJgCkUCoKx92fOnKHYOp5ms/n9739/cnLy+PHjAU1uZnrl8/mBCT1w0kEbjYat\nJFVV1erLsw2a86TdRl3rzeTCa7VamUxGlmVxxcs2TKbZbKYrYBj44/777+93E9xIeO22AYCC\nmgXvM00OCco0JkCsEkYw7jjmJSOtMpOVHYitDSBEUhFbx96uTqfDe/YjffP5E2Wz2Xw+z5Sf\n/jrv2N2IrdMtLCzEcyIr7hP2pl9NlXZ8AIcdALbw0salC/jI+jfBZ3SFPkMgy/LRo0ejLo8O\n+gIcdr0JMaZD0zRSiViPLRQKW1tbIkvv5XK5O+6449VXX2XfdDqdW7dulcvl3d3da9euHT16\ndHJycm5ubnp6Wuq1yruu6ybPFOvhqqqStFJVtd1u02fenefeTro0UyaXeyCGqSVMbprORcfk\nrUrDMOgyrR50RVFGR0dtc1358lhWDMPQdT0sH0EU+WIUwkMuOfrGdHvZKrT8lVK+mNOUS3BF\nEKQI05ze8ePH+9USF3Z3d62RgBEpIplMplgs0sF9F7Ozmpf8N7xIMU3DMsQD1qjDehIvptkI\nH13+6NGjyBcD6SLVa0141UOSEyUXhDid406pDwCA/jIA0ixOUTY2NlYoFI4ePRruYd3tZRGs\n3s+Ai/kcWHDXbsN7uBYWFpaXl+lzrVZzmn8L7tahGrT0V5blniGspjg7viesrq6urq6+8cYb\nlUqF8m2z2ay1q/T06MuyXCwWNU3L5XJkEDabzZ6ZWe6CySR5NU2TZTmUKp4UDGjb/9fX13ln\nq4hxy1ZaCM709LRtq0y2enCB7nQb3RcPAYB45JFHQj/m1tZWvV4X9/I7QYn/5EeLba3AELPD\n2HGSoKCI1+ljHn+eycnJqNcXE1HsQgy3FBSPhUKhLxW+wAFE1/UkF6wknCRJinLSKWWM5rb9\nsb6+HmJ7AAD9ggRXfwt6BqFcLk9OTrrH6MSG7QqN/L+k1VtBJk1PUjO+AgAAAAAAAAAAAABw\nEOj/tH9iqVarmqa1Wi2XFScURXGaDmWxFWxxGekDT/Pu7u7W1paqqsPDw3yGl/vMKkU9DA8P\nkx/66tWre3t7/AadTiefzxcKBU3TnFKuJF/VOuIMD+Ejzmgil+Ig3CdvWUqsS3xcu93m73Z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l916r1WoB5xluZEpUQeQTgb29nOC/o9GI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\nndN0qnGylmXZhlbFWRJd39RY53Ka+togmAP6gAPbylc2586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0cHBQ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\nUHO7E4w0hqqct227UCgkUvrkmTcBpzFOiYH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IyrB7Csz9jJPZ4TeMwp3o4RnWgxQGWZYLhQKX1lGv10M5y7GlmsjXKZfLgt0fwRstmGfr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\nSUVORK5CYII=",
"text/plain": [
"Plot with title \"Iteration 4\""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=14, repr.plot.height=7)\n",
"\n",
"source(\"nt_solutions/denoisingadv_7_rankfilters/exo4.R\")"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"## Insert your code here."
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Median Filter\n",
"-------------\n",
"The median filter corresponds to the case where $\\be=1/2$."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"medfilt <- function(f){ phi(f, 1/2) }"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Display the result."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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hHyGOXQXJN6C5PquPqtOd+kwwH4paBTehX4BAVMiN5W6voWErNmrvQhprc59qui\n81QKLzUcPCzj1Vdf1R5anVCzRMrWNzaiAyexnTUvT3pY7HINq3WCNlMaH2Nji7WiKPDIEBmT\nPCATWGc71KyvmpNWSWZ2eyd4gTPeAgf5JtfYC1InBSOKQhLOJIzSYAdsqnxTBfMAOpMqHfir\n60oVpeSOldQ4oRme/S89FSTKbtMQaoV6r+qKVDPlucQjPZKQJvacMIeaw9iakqSSTI23gwmP\n/dlKCXXNHku4MAHO6p6BBO/YJvTlUkrPBwm4KbwyCs5HADOfi3aDbwVNmOWorfWSwW7v5ObN\nm6+//rqZ3bt37+7du4maw9Og1/CgLpVKNsQBrh0eHsLBV5blycmJSTFeuhfQ7HQ6xQdwGdj1\nC9nnRd3EZCVWz1hC3B8PspwJr0pQrPDKKIgKVPhOFGogVMeFazg0qkIlLwDwWYA+oz3M7Lnn\nnrt//77VazExdQSBO5q4Fhr+aMx8VS/KoAzR6swriJpc1euycGJ5x/l8rs8Un5966qm7d++u\n12smpZh7zPEZc4jobj6v//GH9xsvGez2Thhnd3Z2NpvNEJjWDM4goymlJrh53BZiytbrNUra\nAebKspxMJrqrKeghnBVI7UIQP0gBTWxKMLUb/FYtWTFGaot6pjlYFPUyvIS/phJduJuShjPM\nA0YN2rVTuyefJY4oPGFyEPaBqA4EFW537X1DoMeEMO9KAUv/VUSLjYAhRbrmZPISfRMwiltZ\n7fXr16uqgn+WKrB5hgY2/Davk2pZzCyD3R4KqBCW0NnZ2ZMnTy4vL/UEhr/S1maSF4EFSZfo\ncDikmw8mM3UsMHcdX7FkANLU1TKlBNM8AtZkP8DoxS+TS5Cuv3OYCnmVp09gbasKxvPVDW2u\n0Rd1r6WJNqfokFAt6KFwayJXH/5N5vYSf5NCLFUjqV69N0FUaWWvRd0zywabwBclKaJ5L3M7\nQ6fTuXnzJjgpuxG8+hMeMd95TX9OOyWD3d5JIfVyn3766Zs3b8YYf/GLX5BGgTeBpvGqrWx1\nSKfEz3/+869//evD4XA8Ho/HY6i9pe8SW4hPFsuDit5ms7l79y4T+xMiltClKNlpjP6P4p3Q\nUgVqUCM53Ul2qA/iKgbEBPfV0lVCqsiiLOpsIUdD6Bz+otIBiDNUeGTjkzyaFIjnc+Ff7WTh\n1Z/YN2JNMqgmcvEEzi0+VJIiwuPsAKHzmWeeGY/HeEycbar2fDqJ7bK1knVZWLwAACAASURB\nVMFu74RgQbNLCOGVV16J9apH5iVtQUmghREXcAIsPoiqo2Fbw0F4U6630gu0gdypGyFRuxI9\nLtZTGnSlMclM1eGyUbdKl/dVonCQ3NTqnmJV7WNjE4/FYrHZbBB3oqdZXfsOu+qmWAO2ykaK\nbrPnSchLMkx+pWF9OkBtthBP63a7RTkWhjEm/bfGg2utZLDbO0HOue6bRUk8mNBSWUbp8vIS\nIbImcScPHjw4OTlhIHHlhYwqT6UiRPIW1JoZQ5usbbIzch8FC0pyVSX5G0qglDElmMLVCwLF\ncNyENLEziTfDJMgjeJkDfLtarWDgZ1NQ8CtJw8AHzFiQMiqKHcpwNdrRGj4B/TdenWHCrgZR\npdGHJBKQBL/b7Z6fn+NhNV8VzXu1VjLY7Z1Qu8S/peyHQLsMFh5hAk6Jbrd7cHDw8ccf6y/7\n3r17t27d0oDVQvbEwjmKOwxk079cLao2cuHFGMFAo6ffU+vk5UU9GcPq+zfDSkW7W5MAKi8z\nMf8rol01n/oV3azUoLmHGb2u+KqUsnRJU7FePCrKZpLsNkdKD9Kv51bNOVfSmmCownGn0zk4\nOKh8624lhpWkJ2exDHZ7KMkCg0QJsiM/YlKRymQyWS6XDx8+PD8/L4rio48+Ojo6evXVV81V\nJOId1rwmgUIAQ8PhEI7g6Htam1QV5QJGa6zOomkPnXoNd/IUTTNQbRfchAyOya1Eq2SwSBFT\n4pNMhTIadVtj1NPpFKr6YrFg/WHFF6KePhf204SFkTxaPUIo1OvcqQ6uVU71cl6IvyzASfoc\npBa0eW4vKi9gwxBQe4ZnR/F4tFwy2O27JG94Vfew2okdOAfq2I0bNwaDwYMHD8zs4cOHSXUj\nrAElaHoX8j5lEKVUT2sSFsYhazhewneUtiR91jMVERLdNrncfE/ropGfwM9UCamKKihD6F2B\n3yaJ1aAaa1KoSidKY6c5luSRJTG9qoYnk59IM7iyuCLU5ujo6MGDB5gQpahJikibJYPdnkqs\nx1slaiP/JuvKZHUdHx+PRiNcPp1Og6TQqqrIaA+TEgNFUbD6E1cOUbKSjAsI0zBU41ZlWf2w\nTETlmTwf6iROY/7Zr0mS1YPJPFSSG4+OQf1PaA7IHT4XXtRAuVv0YEaeQ1a1XC6bbK6Zq9Bk\n3xxgIfv4JPQQVjl1j1CNTX4AODgej8uyvHPnDltLstys9ZLBbu+E6AYCwvVMvTW63YrakNXt\nRJButzscDler1Waz+fa3v/35z3/++eefHw6Hw+EQJ5COmYORuguvXbv26NEjRN7iLjRvRU9T\n1cC3SkKLCYjmq46+hRCCliTCagxu/o8x0nmC81maSecHqrcqmAmbK+peaQ6TivlisVgulxcX\nF4vFopKqVlYHUGWj2gFWfGKNUlXPTYCJamziPFErpNo3cclwODT3uvIqbSRKRS8aB0aj0W/9\n1m/duXPn4uICRd7n8znQPIcWWwa7PRQSEzMD1oQQ4Ejl8sOPWzeR4FIJ7pcsJJkhxvjf//3f\np6enZb0GL/9iTQJo0MJoNGJ/Qj2zFUI8wr/kccqJEpJVyvYUO3UxEhY9mNibdjI7nTp+pVTU\nPH/OPBAaLJLcxwS1VQ2sfKsHfRMg+pqJIuo6SDT0ZCz8wNYKqZ4SvLpJIfth29VSSfx24ZsW\nXbt27d69e5YdFA3JYLd3Qt0EmVu0/evyYMScXkV8IToAnlCifbPZ/PjHP/7KV76yrW9SE8Tg\nrdooEirMiUwQSzw0QQKB1phrBn9oD61OSUzYkxKinZKQrK1vYruVqr+MTyRaNVvY+k49cFDQ\nDxu9/rs1jGgKUqquEkpCPQmMF6pZU93HiZAC81mERqGUZuSdyXuR8Zh8HLgX/N1ZjYXkEk/7\nKKR1xBdEhFVep8zqcbAmBUJUG0ISGKOIt9stE4xI61T4VZCKnsrdEp0LclWEl0oUUYq68yre\nVG9HSsue4wiS4ZN7JbORzBLeItgqDFHZ+BeotzNPTv9yuhLvEJkp7kUIS/pAIFMpfXuzUgo6\nqCTBNzsnDaGU/X7/8PCwKIrlcgmk+x+fTkskM7u9E6y35XJp9fpuy+USihj2u4pin8ZbvZB9\nFdRmZK64TafTH/3oRy+88AJijDu+86mZQYE1N7Hhpjdv3vz000+VEAFt6TEgfcBdmkG/kJ2r\nN1E59atKCnwqupk4OmhoY8+1FlOUWF+160c3219eXmJTIYRrEBHglqGvme2UsqElwYukMvjG\nEUWjlsFVbE6xD40jykR9HVGioJXZ7SR90cN9iqK4devW4eHhW2+9Za7M5tATy8xuP4VBbcpQ\nKt+b1RoUg5sVmFcSrjyTFOSO+lRZlvDM6oJJLN/4EEKYTCaoDcXG1WdCDFLSET0oDwsVkrA5\nE6TT48oiVWcnIie8tfAgZFAYdWvCGMdBJbczL3xidZytJCtWERb3TWA3GXtCjfUgJMFc3jRh\ndhisEtvEfawwZ41yMubReZPJ5ODgwOrvy5ZLBru9EzWycKkH10Ohdm3r9cGD+DQSDQ5CFcnM\n3n333cvLy3hFbJcqWWZ2eHgIzyAlUceSQDAuTiD1Voom6QLW7vEE7bCSJpPMjYS7JYBFqAV9\ng/MhmZDNZrNarbhtTTIJ4MjN8JHmXKnSqi5y5bB6Xz6dhGTBzpBkztrV6mqzS3zHqPZdluWz\nzz5bliWcxb++qZZIVmP3TqheKZWopGIttmru9XogbrDKY/XSMA+nBOsYw5WBlTCbzd5+++1b\nt2699tprTau5GgqRe/v888+b2YMHD1hI0sTPoEEehK1K8sM0JEWBm3haeChfJVlraA2wpSHE\npRdHIoIU9a1v+XcrBTjZn+VyiRpwOL8sS6Qha5IvcvVYyKQZ5Rfrm1vSbLeTolKCxMehnSSN\nLAk0+TVgp2+jwstGKMhih6PnnnvuJz/5CS+5qrX2SAa7vRNU46AeyuMKLqB4CH1QibL1lwnu\nmGidiI/76KOPXnrpJei/CcsjkAWvj/bUU09xQwYUWWHLpBXsJBvRBq2+kXNy06b2yj5YY9kn\nOMI1b84Hifi8nBMynU5hpLNGOgQTzkK9/oKidiHbj/Huit1NjCP8EZ2T4SSPWIdvdR6t99Kx\na8uFl1xl4wlYt1ky2O2dRNnfayciRLdbNwMsQO64qbPVF0lRz1L44IMPXnrppaIeDZuYh7rd\n7nq97vf7zzzzDL6F7zJZeKFhilLtlYBLfNxKQr7ejudYw0Jn9Vw3xfFOp4Na7eyJ8lNV81nm\npPCMWkAbq8+b10bVdthDBujEevYCrYpWTxdruol1sDsV8yiRfcQy9d4WUqw0aYEdI6QWHo/5\na35v7ZEMdnsnCTtQBcokKgVeyM1mw7Bh2oMq37x5vV7rXhBsE47dDz74wMzA7zqNfWPNDC0j\nSaAsy6efftrMLi4uTKiHdlsBTrVaa/AsXk5Hp5K7wjfuITISkQsPnbV6VAcaxGrnKAhYaFw3\nrtUOUxPkDtnm2b6oY5rQIsKo7XKqFF5kwRo8t5JqCGGXdU9fbMrHTbzSnPwmO9aDKHBgZvP5\nHMX7rPWSwW7vBKudEIaDzTWM2JT5fI6SdlH8cdFLLVWe98rjZrZarebz+eXl5e3bt997773J\nZPLKK6/8/u//PmxVDNfAyixlO75Op4OSKvfv36fZq5II4aROSahHDsPipjmqydAgwVPHtKYA\nuUnwIA9wNPgf4MTU06KUJMBUgPCaeD/Rn8orpmy3W2joIYTBYMBRE840Y4S4Vnqt0yD2O5NQ\nHh0gNWX19iYMF01VEnxjjfef+m14EJiOIYCAI8JmPp+v1+vkzdROyWC3d9LtdlEoHJiVkAKc\nA/jAXlzz+TyEoPa74MmYoCq6bHDVgwcPuMhjjD/5yU9ee+21w8ND7UYhG82AHvb7/eVy+fzz\nz19cXGiqvEbnEx2Uyu3UcCmEVwVKHXX0NGGFbOIp21RTGkicNsiZod7KYQZ3SuCSyWSiFROK\nRvk/XqW+cn5gzxWw2Iet7xyk7bBjhDDeUU9O5s3qbzVOAu7CQu3Nq1orGez2TpSgqeqn7/zE\nZ8qcVgJNU800X64XFxdVVS0WC+hoYDTf/va3/+iP/ujw8DBI4EWolyfCv8fHxy+++OKHH36o\nWqFCT0JDTLQ5qNX0vdLo1nSSWB3U9Ag7oxarWI98ZrxxstQxUVT31AuEF8xoNNL5V0ZJRKuk\n6BM9qgpJStM4tOgRIfiqqEfthHqRqKbzlC2Q+Zoo0Uqirf5qbD6O1koGu70T4gsUtChVQ6xu\nJMLx9XpNVoIEJq5M5FrQ5YoXPnJCF4vFfD43dz5ut9sPP/zwxRdf/JM/+RNsOM+cAatvjToY\nDG7dujWZTN5++23oSuo3QMdKr64Meqg+ViqPyeJUgsOpSM4hdSrqYXeaMaZAnwSm8DNUYATi\nmdl4PMatMckcOFRCKvKFbEmuLlQ6RjgEqqvRzY48GReycBMMBXwZFF57ppLYHT53E2dI8zUT\nPQCIPWH1lOl02owcbKFksNs7iY0NtxK7O79SirRYLDq+D3xww1an0xmPx3TCBvfxhRC63S6C\nk7FOZrPZYDC4e/fu3bt3r127dnR0ZM4otaYuV/J4PEYon4lqpsqaCcehtasoCvpDEyrXJCBX\nEb0kJiP51urrP9F2saEqegusB3wz3Q0Vn8x3VmQnldnZFWFr+oyS7hG/rB4lx2Z3zkBzmMnL\nwOpsGuMNbpGMMbKgYbKZSTslT8HeSfLD5c/XGoYqdfzxxW5m4HeDweDmzZu0xH366ac05wNM\nVenDyn/06NE777xz/fr11157rdvtTiYT3pF3IbXp9/ugVCRTinfRHZ2hXqMpNlwTPEfzT82M\n8WLqJCFXSpTcwkNbTIyAycQWXkMJ/yKqJsbY7/ejR/MEd+Amsx2kHom+e0xeP6HuZ4hifFCL\nXhBJblHUyz0V9Y07lLWZvHgKjzbXG6EE6Wg0wt5jGewsg90eihqzght91IpHcImyQ4LVX+xH\nR0e3bt26du0afvqj0Wg8Hk+n008//XQymSAQr/JE16IoUHS3LMu7d+8+efKkqqpnnnkGTo/E\nL4z11ul0BoNBVVXT6dQkuIzqdqK7BQk3gVBn5LUJlANTiICV1KrcOWkmxkGdk63sPmF1pyrU\nUgBBJcGAVq/BR6RrWuisvi+a6vLK3YLrlUrME7w2ccho45VXGNT51zFufX+4IOwbfX7++ecf\nPHjQvKSdksFu70TVJb7MWTMuSABXM+T1+Pj4D//wD0M91hQ2uKOjo9PT0xdffPELX/jCf/7n\nf373u99F8IrVTUvT6bSqqp/97GfvvffeaDQ6OTm5cePG5z//eaRwbl2g5ZkZrYrBi4VsG0U9\n1Y3Q3Bwyur8FejdXLMoRM3pO2dzWS9c1sQMfkncA9zxjIXXOGKYXtG4+n5PtWp1wFZKl33xe\n+jl6DFCUwB32h7ivtF27ykb4PouNTX/0/CBuk+AFBUDt1+v14eEhHC9a+rC1ksFu7wQuheZx\ntfgUknmOb69du/YXf/EX0+kU5aGiGOArzzNDC8Ph8Ctf+crJycnf/d3faWw9iiGbb60A3Nlu\nt+fn56vV6vT09OTkBAbv7XZ779692WyWeE6KRvFxrmqu0kqiiLmqYyOVKtZtVSp0ifCSBIAS\n9EmcIURbcsmkZIAJzJl7aYPUWUn600QrE1qaKJ56IXsV6pE6Oi1NIqn4mFB+nXNwdtLw7KCw\nDHZ7KEG28mquefx2T09Pv/a1r+FHXBTF0dERgKbf719cXDBDCDYppFIxCwqr4tatW6PRCDUF\nQj3ugYsQaVgxxl/+8pd37twZDAYnJyesKcBsWWuEPiSSYFls2K14FVP9t15Bs6hnDrD4FZe0\nJu3TLhZF/9ULIaXUqjM3DuJvrKvJvHvCtRPdU9GKZoed3I0DSd5VClXB9znijdQKqZdodDF9\n3Gxq14+r1ZLBbu8k+DbYMUbGvpOVFEXxZ3/2Z5PJJIjjlZqLmWE/neh1UJDqABAZjUaoZGtm\n/X7/b//2bx8/fvzDH/7w8ePHcETCqo1ugIJxCaEQy8XFBcvbcZGTqVHfVJgmZhEFgvgfo7hr\neTI+8ytdt5ojET0PlKBJ83you0qIOzBvkabRtM/iC8FNeKiMFOom/9VqxReDJmDhTG5JYc7s\nkiermKUOaxLJhMTpQXQ4xshARbXT6aQl8FrJ/t8tlwx2eyeJrhTqPr6zs7PJZKKaYGLEMTeT\nEQQrz/xfLpfgC91ud7lcdrvdw8PDz33uc7/61a8+++yzRHcupcIaGoRbYyd3ULpBBpS4CxS1\ndU3SMqXKI89R1TiBfmWIOglNJqWTo+cQTxkVSLjh7NHoVnicnTal9y0kHUJv0YTv5BwTPdTE\nhJqwP6tTVJ2xwtNdeNMglsGds9FCyWC3d6Kvd6oz+Lcsyy996UsJRmAT+MlkgoNwO1RSEYT7\n/kW36OMcsKSDg4Nnn30W5I59KDw33pwaEAp5HCwJ3UClAGvEwWmmh45Rz9lJgkxQXk+m6yC6\nmwKjgwNB562qb24bRRKnAcsp691JllV5TPwejIwBxSbRDl41PhlRIY71bX3zRgVuNYOa4Gkp\nRahMSB/SQuAaCmJPoKmhrBdYba1ksNs7weKJEjOBD4PB4IUXXoC9PLEurdfrJ0+eUNOBwQtM\nRAOPsQzgSO12u7gc8XTD4fDXZ1NSP1VmoWtPw2WoSOrCw8GqUcEJUkiCZ3K7nWxl26hZryym\nkCCS0Kiayf7jA/N8FUTInc2pk76ESANLyRtTR7PSOr3jVXZYEwanzmudyQQETcx2RGE+blwO\n/3LzabZTMtjtnQwGg+PjY9jLEdAfY8TBN954AwwLLtfgFivwGliU0EjlezIkqwWIVkqNs36/\n3+v1fvu3f/vhw4fvv/8+lz0dGubxaImvgDF6Wy9OhzMB1viWgSkKNJWEH2t0G7U2QhjaTCx6\n6CH9CSQ+sEWS6bAceUItoxeDYlNsH2yu1+slSrFCDycB0FYUBTNJIAxeYfQJ82GqetIrIJsk\nlDfSqVATJ82yJrSXc8vSL+ZkmeFBWSAZ7PZOgoewrlarwWCApTgej7/whS9QVUwUFlYnjmLu\nIWHhQuKqZkBv8DDdwWBwdnbW7/d/+tOf4hz6H62uWSu/Y/uJ29R2RZ/xchMymAw8oXWKZfiX\nLmBVPNk9ksqinpHKBjmBsD9u69tuhXrsbkLBgnsJOD8mibE6umYMjXZVP2gFh4TqJmdqaybM\n0dz7REcQfxuhsb94yyWD3d5JIaWDqaccHR1NJhP4+1QxqaREJXmKLuPodjEyDtUHeQJMe0dH\nR6+++urFxcXl5aUJGCXrLdGM2A6pSunV4pI0CdsFBBwC2RyVbtVSISi1QtoSQuh2u7gKBRHI\nJVerVeE5D9Hz0vTW5IZX6arBTWYEJvU7N9E81qvRNOdHz9e7JNqx6tQqbDy4y5iQx2009F3C\nJ6iF2tssGez2TqCB4pcNzaXT6Xz5y1/mukWQxHq9hp9BLT74y2R7vuSJO01qwKWI9XN4eDga\njU5PT1er1eXlJTyVoFGES/o6TBLa8AGmQLpETMxbVqd1XNhkl1YvNM+/i8WCCDubzbgxGLjV\ncrmExoq7oG4VELCQCqAMXTSx9JvQ3uaekyBK2EnWXN/HVWSXim66aaSJt7Sol7FStOITN/cg\n8aA6RhLOC6znhON8cm2iJ5SD8/PzyiOQWi4Z7PZOFEewJFg41+Tnru95k8JEOK25JxZr527r\ntYLZGs6kb3QwGKCCExYPVlGSZkBmhIoApVdOh2NU1zNuqptX6MbeShW5qjVyeOsb0c7n80rK\nN5mTO/P9N1T9JOmzBv2MV2/swMA62O+AgHQ3W53bKjyZpJHExiYVfKZNZZmUk64bbVDxLtF2\nt578b/XY5sLr3Ny+fbvJEFsrGez2TvhrxpIYj8evvvoqDd6KUIlRXxtRHVaPkESY7PagZwKq\ncCacuVyKzGrgJeyVAjSwT6P2CHxAn52BZhw7W4ZsNhvExFZVNZvNopcnoQHOzJbLJfiv7k0B\nLGYItEIe3dbEOKuHlXAewKyBdKp47nRxKvnSsRcS8s1nkTwyVWa15qgeb4q6O/S+lVeZ5z5q\nemZrJYPd3kmn00HZtaqqTk5OkApm9ZBUSLLkkpjYSqo/8ZwgJYx4AnRVBVOciW5YIy5fF6oa\nmGinA94FN3WhV1yNhSRUmQRY8NZK6Crf9Bq6Ocgm0ZBJCyjTFEJA0NxgMIiucWu3OTO4sPIq\nA4wfpmLIVDxm2ulsN3MSyKr0MzCu3+8D69lzaqwcSBJMtxPj0D1YFczRmShMVht9p83FYrFY\nLIp6/dQ2Swa7vZPoUWmTyaTf7x8eHpZlyTACanP40dM8Z0IiFGXMd5xJ9tYyYX9VPfiLn5Fh\nttlsUBMNK5Cb3ZgYBwl5KFUCIGMHEpsdlrca0fTW3EkHuEaGQoqHq+bzeYxxPp8DhrZeoa+Q\nLFFOizmk0rpnouSioEvpqbX4djAY9Pt9BgybhGfT65IkLaBxvhhCCOPxeDgcsiez2Ywd4wuM\nanghebjNX0WQbUbUsqlIZx4gfXFxMZ/P79y5MxwOe73ebDbLYGcZ7PZQwOwQwIUcWGU9iauO\n0JPQN6uHsFWNWFbyRBK9QnItk5MZIYEbIbKMjojokgSRmZu3mmoUWSSZoMn6R4eRHAZco+6M\nD9xEnERmtVoBW+kLrjxnjo4dfRnwCIGjktLwpe8ZZoIjnOQg4W9VPU/DnNZBfUYEuH6lBrsm\nVbeG3srPOoGqEXPqNJduu93eu3ePvSqkNn2bJYPd3kmox0CA0dDwRP0Iyz6Jqo9S4o2KEpSm\nKK6MBBwhqlRand/BxWle1jx6tEpZlkAinkyyphBAHEnuZXVLU6LZVe6VVi8nh6wcisdL37sD\nJ8M1XPl+DiR05ijPz5wZ7ac6hUyYFLhY4fu3sbip4pG+kxSwortit/UCB6EezsKXR0KNrY6G\nqv8Wkjzz5MmT4AKbY65UbBns9lDwG+31etgux8y22+18Ptf9SQEf2Nw61mMgaCwzIVDN9vVI\nbLj5uLyJnlwt0P7M3aD9fn+z2ZyfnyvrsXqMHpkpqJae2XRxYMUuFosnT55gXOo8RZsaOxJj\nXK1WwDWqsUAThNqR10DNBGckglM5RftUXUsveaAYRGTBbHQ6naOjI9jFAHyI8Oh0OrAzwD+g\nmQyV+JQghYSkRPGlmuxzFCRMWh8f+4ODi8VivV7fu3cPA6epMYMdJE/Bngp+qZW4SmkJ0t89\nTmbMMAXHlZKYJDyoL/IqIZqoegvlGquXRvdut9vr9Zg9ljSrpDIhdKRghAB6JFarFWrt0etK\nbgsgS0iTqvmbzQbJJ+x55XvoBN+MBgAHdzMdx1ROSym/rjQ5eBLFaDSiOY8JyKFe5IpjSWYj\n6Xwh+Sd0NOvPAMHSOoEckb5aYozz+RxV8jlX3Dg42+wsg91+ymQyUWO52qdMnKFYZnzzWz0E\nTG12xa4awiZ6cbMPuoq4OEk9uJzw1WAwoPeg2VRCLXlQx0V+imDpxWKhhEhTShTNFeMwG8Ej\n1+bzuYaMBI/HBncj8CmvJDdklwqp8gS3rNVTKXREUeoPwh3UNJVavXQoIVXnPBEtVW+Od3zc\n7An4NcucmL/VmKTcbLltkqdg7wTVN9UEDjiDoxPnRPGBQgqvLKS8j4tNGSLe9lVVMbpC2yRg\n6SUmRiXACk9Al1ApgP4KqG+qyTbXfEJazVEPG9piJ2/iOGKSTXgiMxwITMAXYgf6A1cPD1Kv\np02QLZgb8jn58BQxgyKI25Rwr+8YVG3QuGuKAm4yJ3pmVa8UkLRQlqVG0pjzXEz7o0ePVqsV\nY+vYYPOn0lrJYLd30u/3x+Pxer3WZYYfK4gDS0haY/2EejqB6onW+OkXnuoAM1wU8z8vJG4q\nfjUXbajX7yW94k2xSqE/cjjEKYxruVw+evRoPp8/fPgQIRSqw5a+YxYIoAlyoSipOdPBPEBd\nRbxx5Z5ZFJoHojGfFIli/X5/OBzC89Dr9RC0UUrxTpaPjr6/B7gn/iZTx8lJwCt4qTvl7Ohw\nEkUUPCKSTC1xW5eyQfB8Pr99+zadRfx58HH8v/LL/P+7ZLDbR1GHQOn1Ka1epo3fYo0BRFQ5\nooKjHtsgUSxUgfVkvZ2J9YeLNmF8FF1RibqtxxXmaKJCKAmICataMfo/NuJCVNlk45XvAl74\nThS8adINNRHQgwGXBbcQo481ujubCb/B/b/EPqubI698rj5RhQRUx/r2mDqTUSr38TWmam/0\nkMNHjx5h/yOldc1pb7lksNtT4drWSAuTTO/EkGcSNWK+JMiASOWwcuhhINLRGcI9yay+LAtP\n+dRuaAe4nHi5MkqOi3chFWKXttvtbDbjpmVRbIVBbItFUYCKVpJyz9mg01ZV1yA7deAgzXkI\nJ9Y5N7Gd0ZCnOQ9B7IYJ2EUR/TZ5E+gLY+sFmgj9JG6V+G2CiP4ewF7ffffdi4sL/hI44aVs\nQvS//un9xkoGu70TkikT9x+NNYwiJhw0VVqlHjtvAahCBEbwaAyAiNbe4Ipt8rvkpgpq8Jaa\nGA3VZ0IoVEV7tVotl8v5fH55eckOBN/OMXq2BggX7WWEIRBhGvgwadgtFziOS5gpgV2Hei7k\ndOR3DAYupdY5JTTMbeRlifoPYbq+ThrnZFuvqWf1MtRqUcVzZ64YON1PfvKT+/fvczIxUSy8\nyky1nYyvbZLBbu8Ev/XpdDoej60eyxo9tkPVOlzV/LdolN9QVqKL1hyYUDMq1t2vUYo7cVkm\nOItz1DavlnslffysZTjhfiWBUobCdtjnwtO5zGw2m5kk26JLwC84T2mXBIrxK37mJMBaF7xm\ngWqp7BKAlTOjE6sMrknrCqmwsm1kNJeNAlxX/TDA4371q1/hX9g3KxE8BV7COgiZ2VkGuz2U\n2Ww2nU5Xq5WmVSqykCOonZ6XJz9r5RSxHm8VfZsLPb95OSEPn5tQB8kSmAAAIABJREFUqyQ0\nIT6JpY8KdeXFpiBIg93UNyc0Z4JJARXVu8fj8Ww26/V6GvgS3GxPYxxcPaRvnU4HDFFndecM\nsEH1Oei0JNfy28IrBnO8BJ3kjjvdrzt7hdfGRx99NJ1OQYeZUcd3Ei0D5rQ0J4pRMtjto4D1\nIGsCR2h5qepbMkMSOw6Xlv6tfOMFXkXLURKAQikaCfxKHPht0+alHVNNUOkSCwWD0G02m8vL\nS9ITa/AjHSBzVxVQ+JWyOeAaVVQeIcwldgCQvoROmkfkhLp3VR9E3FXHJWlfL1QHS3AHkeJ1\n6YUFeZflcvn++++vVivw2cRMoRNlmcrtkgx2eyfr9ZrxtNz8hc5BOuyKeuIkV121q7ITV6zV\nLff8lmETGhhM7gNGpn4Dem/5r6q0vB1PiBIcZ56xW/n+zfjMpLfKC4WiS6zAbh4kaJ7iCmxC\nV0ejEex6VBhp6dfIFdjpirogpE57SNEXhgpnKTm/9CqqfBzELE47n69eGyQynCczTWW73f70\npz8Fp9Mnqx0OIWgeCwlms5PtlAx2eyfRbWRYFcGrKl2ljyQqkvKUql4UQIV0j+TLRGtTwKKv\nkCY5RcmkwbK+e+lVYSLK2nic/xLXgoTCBK8mwvPRsbIsR6ORmS2XS+WADNCLda+udp6Oi4OD\nA+ZFaCPWYEwJrVbGrfMQxXesiI9vUX0vSiA0J8Q8ehkvGH009LcmHWBkJX4qZKBNRtlyyWC3\nd0JkMc9MKhvbSMd6+MJV6gwdl8AFVmbnOqTtLNZDsdCIGoB4HB9oFeL6tDqdSVyK7BWNWYXv\nwcgzgenJKCopc8KAYV3eWO3B442VRpEc0UWrQyBlCw3rGzFXgVjhQ6dL3y4KrDwz7IoT0keg\nryh2NXmjcKeh5NfCueWQ+TmniCWSp2PvZCvVMrCqwe/IC4gaVT0jQt/kQWxkVl/h2F9VL+QH\n9bdaXUXaeq3g4Dv4KITFupUKIMvtCknQFCCgPGKk/Fc5DgEUBGfjslwuLy4uXnjhBVb9Y23n\nTqcDw5/iBe7LypdMnAi+N+5oNCLPRc0YBRp2SaHE6vRK5zw5qDOjHmpe0vH9ZxU0dRudqqru\n3LnzX//1X4vFIniQIG+n88k7Ro9GZlcTF3A7JYPd3gmZDkwwqm+arKgEFKr6vlngTfy5UxJq\ngMpIvGmir3EJEUwTBgHRa6OY/xRPeQ6bCh4OQjTs9/tML+U55nYrCDnvBx988LnPfQ5LuvQC\n5QjWmU6nSqy0nziopjrVVTmxVT3rNorzwRrIrsej8FxOY7yCd5uAVAih1+vpWHDCbDY7Pz//\n+c9/jlSwpgeZNtYmOdXJz2BnGez2UFB1nToXf8rKzkhe+C8XJ7Bj6yWIofqBZNHXCb0vWbTK\nXArZJoL3hZ5I0kT6wJ4rXuiIGAWmZ5q4WZjx2ul0QGPNXRBWZ3msPVdV1fvvv//yyy/TeQr8\nwngRMKj34tRp8mzhpe6ixEUHD+tJaC/AscndIOqNsTpTS0TprSIXvQrmYIeH9YMf/ODx48ex\nrv9ytjW1I5l2Gvuqq8PLWyUZ7PZO1us13RGEnlIqrGmomu1ytOkvmzxLf/HJ+jcz5E4ELxVp\ndQ3OhNYV9XiUpEHlUEqmrlpscI+y3i/YjYljkZfrTauqQrGm27dvv/DCCyhdB57Y7/cPDg7u\n3LlD33GCAowuRnZB8Kg985jhZHTJEAiU1oj42UmimywvcRkFsUWqkwRy//79R48eNVnb1vfc\nuGp6M8Y1JYPd3gk2Nr68vDw5ORmNRlT3NNakqZ9S/+LaqyRVS6tfBK/FRBW1kGp3oV6ujiuT\nR9iH6KbDhN+RlVC/ZrIEgYwtqOsAxsR+v488WW40oXZD3QrWzGaz2Xvvvff6668Ph8NSdne9\ndevWYrF4/PgxgjwQawKvK6Dt8PAQt8NgyZLUe8ubJoPCeHmhSWTPzhcApJCNIJJnBz0d0X+w\nJ2KDobt3737rW9+az+e4KTrM1tQyECUeyOo+Jbw7tThgayWD3Z5KjJGr3cRudZXOYo3crOQc\n2oOIXFsvpaseSX7WYBQu8sSfy85wmekdE+65kyqaUy3cDphOuNn63tjmoEwDn476s88+e/rp\np5nZag7K3W53vV6fn59jr+vRaAROBwJIiz71d/5rjhcJdSq9qtJONq25brQksNoCIYlPUzXW\nBP6AdN/+9rfn8zkfJYN4yFiVsO8kcfp2yZLBbn8F6aKFbFJFGCKocf1Q74tutmu6Vk0QR8kI\nyV2s53uSnVkjFFnVvSBpEolFiY1bI9o5QQ0wGrpQlZ9aYyWTfuL87XZ7eXlpZgcHByYFsqii\nIk82hDAYDOAJ4eW0+qPlQnYNV0+RMlMmnBJzcclisVCehUboA4HL2OoJZ5xJdgBP5KOPPvre\n9743n89JyeGPLmSjSO0hXmB8bxUeo0dOl/VZy2C3hxJcYoyXl5eI+GdYxnq9Rhi9rhBlOrQB\ncSUr5OnmhxoKZ6KvkUlx8aixKcj2g1HMUpodQZLI/nCDtETvwyWkY7i28JxWeC0Kj8ij8kgB\n2FVVhd15ut3ucDgEtA2HQ3MaS8Dt9/uj0ajT6RweHiryJm8OZsWhP6FeaCtBbcL6crnkRmj6\nSgDHDCFgEhBRTK2WLaMPDx48+OEPf3j79u3ZbEbXM58s3yicZN5ddXDCaOE7AWnecWslg90+\nCn+vqGc5nU5BRvgTT/hIrJuZFAQLCfGPEuBKzyyaYgkpRKUlfIrMCGeabDjLuGKNNVG+yWVP\nn2YlFUOD5FQxNQr3QsdgvzNJ9rC645XaKIq5bzab4XDY7/dB4qJvqIgzUYIYFYnhDEGgH3GH\nlI2BOxwIcYdjIeRBYGgD3rFjrCbPV0KMEX2rvCIWmr24uPjoo48++eST2WwGTreVVFk+UH3o\nend0GDRWf0ucnywZ7PZaoKCRpOAgGRNPq6SUW7IYIEoi2IiSNV7CMJEgZiws4PV6Daet6rDa\nZtP3SizjOUE2D1S9mIuWmyoAcVinM7GIUZdkmyEEpBngjuPxOHi5JyLjeDzGhciEpcLLIQe3\ntZFAcXJ0lmg+IxRGL2rPPF+cCdVVY33MDCEsrDQHefPNN7EjJUfBm9LXrLSO9Fytq+gbEda8\naMJVuYatkgx2eyr4pWKjg+VyiYqM5nqoLnVCSVGP7Yr1EBBlhXoLGHf4rV1RqAOi4SBJnCqX\nH48QDqhQmyi50VMjKk/7L7zcAA4yzk7pzNarWjEjwoR4hhAQpbjdbs/Pz09OTgoPjoPrA21G\nz4qFRolJ5i0YTth8HJQg4SZKvqLvkQZL2Xq9hjERdPX4+BguYzObTCaDwQDXLpfLzz777MmT\nJyzPyTYLj0NkyXjVYfk0lbYnaiwI7FUPtFWSwW7vBGuPNG25XE6n0/l8PhwOE+0vimmMGmsh\nNeMqL1UCNEmi7ZW4KRhRR4uSHGb1EDMTpkMkJTEMbuOj7ZxaG01UhB52r5LtU+FIpXOWrdHe\nX3r9YRooifVVVa1Wq8vLy9Vq9dRTT8FIB8hbLpe4BIokChevVivEu6A8XOFl3/EOQHxyISmo\nJpqszgP26EE7jx8/rryEjCqSx8fHyAK8vLy8vLwE51oul6vVqvKdN8jITHgZYmvoI0b3qqrq\n9XrkdzgZ02K+pe9ms2G94pZLnoK9E6IGXtSw0zPXnRpW8HA5yM5Xt9IoPZj8pRZmDZXzqmat\nQXZMvB/JabrsCw+eILaSpRa+4xcQUx0a6Ekh0X+Fl+csJHOeeBd8E6+Li4unn36aaKtRh6BL\nUHUJ69SXEZrH8DSORSkVUQzA1Ov1FovFtWvX3n///egRM1H8FebF5RE0zqkoy3IymVBt13rI\nGCO8LhyFNqhIilnCGwIzuVgs8EbJaqxlsNtDqXw/U9KH5XKp5U8KD53nD/0qJYvSBKbQiO1o\n4hqBg2CknbQ6rm1li5ykD9RktU0TB27w7Rx1JWtUYOXFjkh4QVVI6JJotQRcuPkkuNtms1ks\nFgjooXmr3++zjBX9rYgXAdH+9VMK0IQKfHx8DO3VHLDwdzKZYIvuptOg3+//3u/93qNHj95/\n//1er8fLkelBElrVd//hqEuvZspYHFBjaAaFbFbXZslTsHcCvRXMAssba1Vf5lyK2/qWzAo3\nxDIqsE1Ltp5mEioR65lhJBpRAoPV9qe2PPLBIKESSdQx1XBVvWFZo+1/Pp9TgVUOhQZZV53G\n+0J2HcPy7nQ6L730Ei5RjDCzy8vL8XjMMgRoqt/vAyCIs7DlIaFNnTZU24NHPrKHnU7nhRde\nMLN79+7FGI+OjtABdZVoUHEh9QjG4/FTTz21XC6xcy4iijmlaAF5cvzKHPGZI4y3AsjpYrFA\nHLiaOFsrGez2TqJv/Aw2BzKiepza2pp0g1qwxhg36VvyQZef1ZXiRC1t9lb/DeIrTI6rR5jm\np8Izc2GrAlqZxNYUkqtPgsaDWOTIjSU9hP44HA5v3bp1dnamlkrmycEwOplMOr4XmonfA5ii\ndkDQak2rUIralMPDQ9gcoKUyNc3qpk88qdVqhVwxDm04HM7n89FopFRXS1r1ej0UZzcnj1q5\ni33u9/u0Oe7sZ6skg90+CsACQVu03NEsRWNQIeH+iSWO6iHgAFBSeoInDdh6UyWPJgkPzY41\nA/HUkpUcrBrp6ImhEDxOS6pEiVOzer49LVDEC9A68hqO7vr162dnZ8w3KOrl/9br9Xw+f/z4\nMYxlnDR2VVG48uhr5cLh6kLQ6OdkMmEFQA6qknwMzpiZMV4ERA+WO/O4vOBBguCAcIPwseqL\n0Ny9TgSHN1Y3LWqtZLDbO8GOKmrZubi4wAe1T8V60ihdoiR0MdbSiUyqbgSvocQlt5Va6rFe\neD1BvVh3ZQSXKBHLKooyCZ6aMA7wstVqxShl6KFJNc3CQzHUpnZ8fBxCOD09RZwazqQxLoEV\nHFyv18vlcjAYJBuq8pzSa77jXsxPAE2mGk5MIftWkKKarBOoblxi2bZevJ7BNHRWIGaFrBD7\n3k6nU/4GgniZKJylqxhoqySD3d4JivFiDXCPwUoykHa6TU2CvDQ9qPSNZvCvUj+sc4UhMCyu\nf6VC1vB7UCkzM2byK2KqYY6gENyXymXMTsZ6lEbwOh9ay5csBiot0vvPzs5OTk6QGkHtWIkY\nPoOjcWjL5fLx48eLxeL4+Jj5aqVUwC882AWqJWN9gwceE5uCZyInFNvkZaBvmlAPV9bHgXYU\n4+heYGwwxj4ej4fD4cXFhW6oGNxOCic+H8H/w9/gb6ZksNs7IWWDQFV59OgRi3Fb3TRjde2S\nQR4aoNC8hYnhTJvSUOFEId25ZnRVq2atyBglXEaZF8IjtLWO76dDAzzs6wR6NcMjXK7X6z39\n9NO9Xg/eVbwq+v3++fk5Pii3VYjBXM3n816vNx6PNWxFIV77RkAvG5uQKfxF3x9y56Tp+yZ6\nhdTC839NHi7GyC7xW44CedOxXnAludfO4+2UDHZ7J/QtBPcSnp+fP3z48MaNGzwnePRsYj7j\ncqVYPTOs2lWhO7g9W7PuE52oiZuJZoS7NHVefogSnEzSZHW4ZJQJkJ3KNUzy5hpZjBGuyRDC\n0dERHRecFhQx5zuDOMIRgeipZhqlUJWOqAnTOjR9oyik6vzoQyG6VfXsZtv1RgEF1l+CzhVm\nYzwek9CZvKuC7ECUFBRorWSw2zuZTqdPnjzBi32xWOD1/p3vfOfWrVvYY4G/eNWbzM1MyHsn\ncSDeJdhEZSd4/v/Wi8fpVc3uxV2F1ykJXqBZqpNBYlB461B34FJLjR500uv1nnvuuZs3byJT\nGKE5aO3555+fTCYArMVisVwuSQmjh/4pZJdeJQUggrwFoHy/30fCbIyR2wBBq1UNUS2VJhZJ\nPgsOqvCSBzohepWJSTGBKgxc43WId3wTUKPvdDoouKLF9zEK7Omx8w3XQslgt3fCX605ECDX\n8t/+7d/+9E//FHhndW9scBM+kI5pT+ou5FpVhYh/C9nY0BrchHc0YSj6FdeweieT21EBTwxJ\nylb0M7H41q1bTz31FBRYRqtVvmMszH/ILZvNZuRi1IiJUOxPMq7Kq79A7aUJLHkuHCPDp4lB\nCtY7NUd92ZBH68QGT8tLCisk1C/UPblAOsbZsUYDH2LlZaIz2FkGuz0Ufdvz7b1YLH71q19N\np1MzA94FiVwrPD2Iet9G9i1U3pEsFXwIITAvKgEyxakgPoSdp+mZVVWhOlP0hH/V5myXgyVI\nGSWlqwxSQwgFKc9kMgHHwZqvvKyASdV4jjTRMZNJAJUbDAbL5TKBQhWSNb5jrK546vDZjZ0s\nOEEx5Xd6kC+PwotLm+vOamSEowZ4TVqn2dBZzCyHGu6pMKSA7+fFYvFP//RPyCvAOcG3pygl\nAzzIBj30cmrL1H1Q0w0XsmpIcG+pWsGawjaVBNHVqKdF2WiC7QcRbbaQnA0MDYYnuB1QCgln\n9vt99B8WejNDOTn10lCDtkaNFpo7gQv4AK2Wc24N66fVoS0ZZjIQfRw751CfSPIhuXUC0BgX\nu43jcEYTHGN9x48slpndHgojDxA6ENz6A/nHf/zHv/qrv7p+/XqyCAk6XKsM+IhiSGJgVxTT\nW3Tzlkl1Oe1SUoFSg/JMEg+gORKdgR3WyLENHo4bJCekkoBenA9CR2YHYyI8FUVRjEYj83ot\nsEwlZnggAk6gzsjPiCNhVRX8W9RrmdClo1ORYAeZL90OJnl1hKqmNmp1pox5Ywh08orSKvMY\nfpILbGbcTujBgweJczbjHSQzu32UKPHAled+wzK1WCy+8Y1vQFvZSaPUXoPjZEnMzWz6KxJ0\nU+gxsZcTdptmI8TB8nLq0Xot+R1OLiRCOOGVhVdmPzs7A2FRVmgedotmkUel1Y0Sofk/IX0g\nR0A60EbwR5yGMtFK9GgH5MwrKiV2A52onaouBMNkNF/HBcebj5g2uMQ0wctp1b3q4bZWMrPb\nO1FFsvLIePXTrVarv//7v/+bv/kbLWWha3KnSpVQFdrCwWt46yDm80LKtZtsumzCSqgRc+lq\nMJqJ1lzUgydM2BNtbYzpjTGenJwcHh4iFczMuHEMaC99ERxjVVXIo9LeQkrZx2eneghTHbwT\nTKqDt8cE0aJ7JJpvGjI7PoLm6yTs8sxsfde30LAbaIQzO8CnXNS9vcEj77CJGlJile9b6yWD\n3d5J6fsBmutiVEuhqWER/sM//MNf/uVfIpKWhAVXBamAxIwCgiZXI+xfW9nogNSJambpRYa1\ncT2zKArUOg+ew1tVVafTGQ6Hjx49sjoJsnpMLMfFsRP7BoPBSy+9RBCk3wBeV3o/rI7acFOg\nLDDBbr1ewzRpAsHAAgruwjIBzDwlqHGKcD6TOqjR79R2iYwmOKVAGT2cuKwXc6aiymoC+pLY\neuVhtUho39Q8mvS8zZLBbu8kSHE3HOEC5rqCwf7x48eoIKTUL0j0nOp9zZ879aCivus2XX7k\ndyYAyvgG6FlEOlyOwECcgK0zKg/uVYqKqh7mO0NDTw8hoHxbCGEwGEwmE/OCdCiyhL0Kg9sN\no5Q4Rc87nc5qtUI/h8Mhri1lEwbMLWFFo9uIJuSGak3Tp4MPiv6Yw6SYu3KuphkuIXqaM6Pv\nnuTuJhQv6QbvlVT6sywuGez2Trh/c1EUTOcMsssyKgKVZfnuu+++/PLLBwcHqn5SYYQxS70W\nLPlNo5UiRZQcg6YWhj5o2nxZlmpNgyaLNTYcDgE65+fnXMa4F2zndJ5oDDAZTXBHCnBHewLu\npm8CatOVp15svYIIhOgcJfeW1jf2zSTQ2szW6zUcIxQyLJ1Dq4OauQUgmVVI82BCu5qYqD1U\nOhykkL01gsZL2bVjp2WjnZLBbu8EJW3NjFUAoiQ2bH0zl6Iobt++jW2hUQODDKIUUdZGTSqK\n31A5DuTXLAy1Z41GIxrXqTeNRiNsY8hiBKhEwg4wpEYdteb6qfqCF4uFyYYycLli7Ooz1TQD\ndhL92fi2sztdzNZAGXXp7AQdTGDCwpRTc6SFp3k1KVjC+JJpV9gN9foCHAVnm1+RtwIB+ZgY\ni5PBzjLY7aH0+32AHYxfs9kMvlcT1QYcbTabvffee6vV6vDw8OjoqC8Cqx/1R3PoxNogreNN\nlY9Qe9KbmvhVwStL2aI0eMG1p556KnhW5sXFBYxf3LurkBSowrdVxcH5fA51GNgxm83u3r2L\nLg0Gg1A3flmdhbHqnxoisW+D1YNp1IlJ/Vp5EATIi78mqBQkxCTBRx1drJdubgJNIdnKFIJj\nJdEnCuvELGWUnDQ8Jrzerl27hvhzdeX/L39+v8GSwW7vhKpcjBGwpcqgib4J5rJer6fTKQxk\nXAAAJuVrrAdpvv6ThWqSwxDF8o0TSt+Rmsb+JI3ffAsbfoYOrppv9OqbgDCT4k6sG44CdiEE\nMjvcVB2dzIczSVdQzgvhphAEQXY4upgXzoxiDTR3a+glJiqkHk8SvNgBhWZVfq3+/iBosll1\ns+5kf/oXr5PEg8SngHAlhFtb6yWD3d4J1a6iKA4ODkCLNLgfp5GeoODlfD6Hja8oCoTUwcTG\nd36ou+0K2d6Q68rcUEit0yQUBpoyS4zAh8hVpGAKmU6ni8VCbXYcV5TA2sJD6nihcjeUFF6v\n1wwfo+WRzZpTNsI3uEzhVZ3JesABYz18+iqNFUidVL5svkUS/TTBtUTQE86Dvm+q+p5h+rB2\nNsWnkxBA7Ql34M65sZbBbg+FOQPB639gN+XZbMZcMXy13W7n8/mDBw9u3LjBLAJUvlP4KH0H\nllA30hceIYx/lV8Q76AWwTxHvgCE/dd//dezs7PxePzss88iMVNBAZwC+1WXUkWdq+7o6Ign\n86ZAc3KxwtMbcJVqzeYxOlSEwey2vgst3Di4EPF3CV2iPsvy96SEJro83xMm7wMSRhOSyIlV\nIylnLGknunWV85M4GRgzZFK6HV8lCnLlxbLArAGaN27c+OlPf4odaTVtrs2SwW7v5PDw8MaN\nGwjlJy1iDV4a7Li0WJ242+0uFouHDx8eHx8z18p87VG34ooK7srY+haFaIerrvRdL5jwABvQ\nbDZ76623ZrPZL3/5S8Svfv7zn2/ucoC6Q7yRNTLnaRSzOj9KPIzU60GygICAQrVksX1z4MZE\nVVWVRNVBiPKAGwIHHbtWV1GTSEa+S2gH1FChph2QF5KvBdmAPBHFTXOiR3cTEVB5nN6Cin/0\nMqJJGGA7JYPd3slkMjk9Pb1//34hya00BuE1DrBjhtZyuRyNRtEjtm7fvv3ss88iYA1tFvVN\nbbjMuHIUOk3MRiGEwWAAg6CZVVX17rvvvv/++9PplMzrww8/fOWVV7ZeDo8DYcCa1VkJxjKd\nTuldHY/HjODl3Uup6VJIwcuElCVht8p8zX0FjDGOjZAasrzkeHQ3K4apBrjEWUS+poCSqJN0\nXJDBEfJ2Sqh7ydlOkByVUmrtWT3EhC0r/bzqXu2RDHZ7JyAyp6enDx48QFJUJUV3TSxQDLLf\neil2XLter4F3JCwaIMZGzKlf6UmvXMBUGAeDAYOZQWF+9rOfIZmUQXBQnSpPdUhuwQQsCrqB\nfTbYPdDP4XBIvAuSA1t4rQH2cCNbkSWcSxEB2jRmTzNb+bdyweWMo1alUk9IRhc8GY6R2Obs\nu3PFvtSKUFcJ0a3wIlFB/NEU9pNd5ZRi2yZwuox0kAx2eyf87Q4Gg/l8vlqtsJ1C06GGNT+f\nz+k04MHtdvv+++8/++yzcHrCaWvuRlADOcyCWEXIhDdXjbHLspl9+umnP/jBDy4vLwkcDNoo\nyxIFSOC+YJTMdDolQu3UoaJsTmhev4RFTUIICB4030JMeSIwDnbMfr8PPRQVnzBvVVXBN1LV\nt9zl/Gw2G26gQ4QqvEo7uhGkajEfDRuJElLHyeQzwi1Apdlnq6fZqlWOLxvQeY3dI/CRz/J4\nUU+PgWcW0/Lzn//84uICbxTLzM7MMtjtocDIslwuz8/PV6sVA8f0Z622bSqDVjddb7fbO3fu\nDIfDo6MjblemylfhxY3VCg4LF5bWbDZDFsT3vvc99o39RGAHS48MBgPgDjqD7R+jV+6M4n7l\nglfVlXenBQ1fMZqvSZQAxNhNnJodviJ+VV5fALMUPE6F0bYmyulWqqWqjkl8SSyeSu7wFYtc\nJc4ffShW19NVc9fO6JMyYaxWD58M9QghjOvhw4fn5+eaMPO/+uX9pksGu72T1Wo1nU5ns9n5\n+XlVL6ZE9mESVgaUmc1myBuLLgw8fvLkyWQygb4JnStKQGz07HTQOug+UAwXi8Vnn3328OFD\nDVIjRGJtd7vd119//fT0FKG/YCXL5ZK7H5hY2dk9jgu9UvNTYqVSfNlsNrC7A1uLosBmFHwf\nUKGOHlxSNYJ18HnrBRGsbk8MjZQMjl2V8QSGFG5oByB8J89Xr+JBWiHM6wvoV/zQVNj5QdEZ\nTqTk8iwZ7PZOnjx58umnn2reOyxZ1G6WyyXWKqjKfD4/Pz8fjUbXrl3DzoHmCumTJ08Aeaj8\nMxqNmBJfluX169fN3Qjf+ta3wOmUJD5+/NgcAlg1hGzrc5/73PPPP39yckK7nrkH9vLyEj3U\nrWnBZWhmYskmBrVwtcMpAdjCHRE7grrE0JQRSq1AUNXTqpS4JcBkdbDjjYAmLOCM8zVmhVWd\n2YiJV1SzUFgUQIN+2JlCKp0oZsV6FDc+qO6MSgcmRaFpZGTjMcb33nsvW+uaksFu76Ty1Ahl\nYVgJ0+mU1CmK67PT6Tx58gRFUPC7Xy6XoGlb2c90tVqBE+Gqe/fuxRjv3r177969yisb9/v9\nncEQFAajXL9+HUinVAi2MHRyp6mu8P2tzYzxrhooQ/a39a1XV6sVQZwrH5BExGQHTDRiHCRJ\nLOq18xIJHsUCerhcLhE+opYymDsVvEJdTKpUMcSPe5Up3plgEzGukspa6JXOLfE3Ka/CMzFd\njDfUbzPqWQa7vRUsHjImrDp6DMytMzit8pTvy8tLnA/HxWyotGyUAAAgAElEQVQ2S4gGMlVx\nBJvJT6dTJucDT6EOm+9jrd3QpXh2dgZdkmiy2WyQyauBXcHNiwgAVlBQ01hz9QJZwIBAOWF9\nt3okjTX8m8BZtYUpPNH6WXnGQuL5IWImhj9+C9eNqpP6yEgSKaXU4GT70a0H/FdjTa4K07Nd\nHtjCa6NuvQgz/RK0ltI/02bJYLd3gt8xbXP83QMvFosF39v6cwd4HR0dYQnNZjOQpujmOTgZ\niQ4w66zXa6iciFmJMU4mExj4zFPHFotFQluwMjWOjwsbN+UeV+Y7VGhwGcExenZE5VG4ZD0m\n2uV2u53P5wgZo3UvmTR2wOqcLuGDlErCgHk+5nyz2ZRev56NJ7fg/MeGispz1MGKdvg4+Ii1\nY8nJzV8FYYuTWUj5Zc6bWkvt6ny4FkoGu72Tsiy5px9cCkEqMl5cXAQvz4lXuplNJpObN29i\n41RY9LidAqJDer0eeByqYwLC8P7Hqp5MJt1ut9/vo4AKenJ+fj6dTrHzNNYPVxdwENoltU6g\nZ/RY/6qq6K5FgwQCMiB0bDqdHh4eWh2+aXpDjAgwdOvlNlHEhQYsNhvrKq3VmZcep4JfecC2\nnqNqYAIWiSarui0hSdlrVc/xwGcYKCqPVtH2QWBJrtV4Rw+GQh67gSilt956ixOlHt4sGez2\nTnq9Hsxq0NRYXIT2/tKL0KLMZ7/fPz09RZ48I2kTXTJ6oCn+Xa1WjOkFV2KD169fp1GPdQRY\nU88kDYDsBsi1WCwUPojI6K3yNfIgfHt4eMgRJQojL0H75ipbYpNSKFHuaXVnKEEZZjvSOpLf\nJqtSWs2DvAVhlE7nBPV4iXJMPV7KrthNSCLyhnrUEZBOTZx4JVxcXHz/+99P4rqvUodbKBns\n9lT6/T7NcybL2IRZFEVxeHh4enqq+6siZ6DyXSl0SZNHqKLH+DWE0arDAVyv8q1ngqcukHZR\nVP00MdKbx8clISC8OwNWEA/MLQ2DGyJxayCpmV1eXrKAMEllM+2BzEtVZnZD0ypUOBU6nCD1\n6HE56ZWJRa/ypFqrZ87qE6RwNpL4YXxoMs1k0jRHmBRysVh89NFHiQadOZ1KBrt9FPAmAIF5\nAhl4GYP7u93uK6+8cnJyUvoOMhcXF1ilVHCURjESFeeArCUuS9IcrDQNZAHGVb4X/WAwODw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mXGh32SNUvjUpxMzQOfiOi8+VoU5EkDe7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\nVskFrVyt0/IAAAAASUVORK5CYII=",
"text/plain": [
"Plot with title \"\""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=3.5, repr.plot.height=3.5)\n",
"\n",
"imageplot(medfilt(f))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Iterated median filtering computes\n",
"$$ f^{(\\ell+1)} = \\phi_{1/2}^B( f^{(\\ell)} ). $$\n",
"\n",
"In the case where $f$ is of class $C^3$ and $\\nabla f(x) \\neq 0$,\n",
"one has the following Taylor expansion\n",
"$$ \\phi_{1/2}^{B_\\epsilon}(x) =\n",
" f(x) + \\frac{\\epsilon^2}{6} \\norm{\\nabla f(x)}\n",
" \\text{Curv}(f)(x) + O(\\epsilon^{7/3}) $$\n",
"where the curvature operator is\n",
"$$ \\text{Curv}(f) = \\text{div}\\pa{\n",
" \\frac{\\nabla f}{\\norm{\\nabla f}}\n",
" }. $$\n",
"\n",
"\n",
"Intuitively, it means that if one iterates the operator\n",
"$ \\phi_{1/2}^{B_\\epsilon} $ with a proper re-scaling $\\ell \\leftrightarrow t$\n",
"and when\n",
"$\\epsilon \\rightarrow 0$, then $f^{(\\ell)}$ tends to the solution to the\n",
"famous mean-curvature motion PDE\n",
"$$ \\pd{f}{t} = \\norm{\\nabla f} \\text{Curv}(f). $$\n",
"\n",
"\n",
"This conjecture was initially mentionned in [BeMerOsh92](#biblio).\n",
"This was rigorously proved in [Ishii95](#biblio), [BarGeorg](#biblio),\n",
"[Evans93](#biblio) using the machinery of viscosity solutions.\n",
"\n",
"\n",
"Similar result holds for other class of contrast invariant operator, see\n",
"for instance [Cao98](#biblio) for affine invariant operators, and [GuiMoRy04](#biblio)\n",
"for an axiomatic and general framework."
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"__Exercise 5__\n",
"\n",
"Perform iterated median filtering, and store the output in $f_1$."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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q8EvCKXgAspEHmev/Od7/zGN77x7LPP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PT995552Tk5PBYIAEO5MF4bLJ0dUy7ExW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VgemHq6M6CaQn6L9XjBzFqiGIkDczFI7e0Q2S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\nQmCC",
"text/plain": [
"Plot with title \"Iteration 6\""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=7, repr.plot.height=5)\n",
"\n",
"source(\"nt_solutions/denoisingadv_7_rankfilters/exo5.R\")"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"## Insert your code here."
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Display."
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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H0YmPEvJMbdxnQ8Mn2fp/MrSGtHd0OJUlfghPpJ42QXnOxOELCqFOmPtUgCfObT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\nlVKNH0DPKsvy6uoKpigfJ1B5NPaZP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"Bibliography\n",
"------------\n",
"\n",
"\n",
"\n",
"* [Matheron75] G. Matheron, [Random Sets and Integral Geometry][1], Wiley, New York, 1975\n",
"* [Serra82] J. Serra, [Image Analysis and Mathematical Morphology][2], Academic Press, London, 1982\n",
"* [Tukey77] J. W. Tukey, [Exploratory Data Analysis][3]. Addison-Wesley, Reading, MA, 1977\n",
"* [BeMerOsh92] J. Bence, B. Merriman, S. Osher, [Diffusionn generated motion by mean curvature][4], Selected Lectures in Math. Amer. Math. Soc., Providence, 1992\n",
"* [Cao98] F. Cao, [Partial differential equations and mathematical morphology][5]. J.Math. Pures Appl. 77 909?941, 1998\n",
"* [Ishii95] H. Ishii, _A generalization of the Bence, Merriman and Osher algorithm for motion by mean curvature_, 1995\n",
"* [BarGeorg] G. Barles and C. Georgelin, [A Simple Proof of Convergence for an Approximation Scheme for Computing Motions by Mean Curvature][6], SIAM J. Numer. Anal., 32(2), 484?500, 1995.\n",
"* [Evans93] L. C. Evans, [Convergence of an algorithm for mean curvature motion][7], Indiana Univ. Math. J., 42, pp. 533?557, 1993.\n",
"* [GuiMoRy04] F. Guichard, J-M. Morel and Robert Ryan, _Contrast invariant image analysis and PDE's_, 2004.\n",
"* [CasSapChu00] V. Caselles, G. Sapiro and D. H. Chung, [Vector median filters, inf-sup operations, and coupled PDEs: Theoretical connections][8]. J. Math. Imaging Vision 12 109?119, 2000\n",
"* [Piterbarg84] L. I. Piterbarg, [Median filtering of random processes][9], Problemy Peredachi Informatsii, 20, 65?73, 1984.\n",
"* [FanHall94] J. Fan and P. Hall, [On curve estimation by minimizing mean absolute deviation and its implications][10]. Ann. Statist. 22 867?885, 1994.\n",
"* [AriasDon99] E. Arias-Castro and D. L. Donoho, [Does the median filter truly preserve edges better than linear filtering?][11], The Annals of Statistics, Vol. 37, No. 3, 1172-1206, 2009.\n",
"\n",
"\n",
"\n",
"[1]:http://books.google.fr/books/about/Random_sets_and_integral_geometry.html?hl=fr&id=bgzvAAAAMAAJ\n",
"[2]:http://dl.acm.org/citation.cfm?id=1098652\n",
"[3]:http://books.google.fr/books/about/Exploratory_Data_Analysis.html?hl=fr&id=UT9dAAAAIAAJ\n",
"[4]:http://books.google.fr/books/about/Diffusion_Generated_Motion_by_Mean_Curva.html?id=DYi-GwAACAAJ&redir_esc=y\n",
"[5]:http://dx.doi.org/10.1016/S0021-7824(01)80003-9\n",
"[6]:http://dx.doi.org/10.1137/0732020\n",
"[7]:http://cat.inist.fr/?aModele=afficheN&cpsidt=3899933\n",
"[8]:http://dx.doi.org/10.1023/A:1008310305351\n",
"[9]:http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=ppi&paperid=1122&option_lang=eng\n",
"[10]:http://dx.doi.org/10.1214/aos/1176325499\n",
"[11]:http://dx.doi.org/10.1214/08-AOS604"
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