{
 "metadata": {
  "name": "",
  "signature": "sha256:5e4a4a601f32eaa125056f4b193040adf5c005a8e8c9ec8437a47b497bfd36ff"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "\n",
      "import matplotlib.pylab as plt\n",
      "import matplotlib.cm as cm\n",
      "import numpy as np\n",
      "import pymks\n",
      "import cStringIO\n",
      "import Image as Image\n",
      "import urllib\n",
      "import scipy.fftpack as spfft\n",
      "import PIL\n",
      "from IPython.display import Image as IPI\n",
      "from IPython.display import display as display\n",
      "from io import BytesIO"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def get_data_url(url):\n",
      "    file = cStringIO.StringIO(urllib.urlopen(url).read())\n",
      "    img = Image.open(file)\n",
      "    return np.asarray(img.convert('L'))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from pymks.bases import DiscreteIndicatorBasis\n",
      "from pymks.stats import autocorrelate\n",
      "\n",
      "def get_auto_correlations(data):\n",
      "    basis = DiscreteIndicatorBasis(n_states=2, domain=[0, 1])\n",
      "    data_ = basis.discretize(np.round(data / 255.).astype(int))\n",
      "    return autocorrelate(data_[None])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def get_sym_data(scale_data):\n",
      "    #scale_data = real_data[570:1521, 550:1501]\n",
      "    L_small = scale_data.shape[0]\n",
      "    L_large = 2 * scale_data.shape[0] - 1\n",
      "    sym_data = np.zeros((L_large, L_large))\n",
      "    sym_data[:L_small, (L_small - 1):] = scale_data\n",
      "    sym_data[(L_small - 1):, (L_small - 1):] = scale_data[::-1]\n",
      "    sym_data[(L_small - 1):, :L_small] = scale_data[::-1, ::-1]\n",
      "    sym_data[:L_small, :L_small] = scale_data[:, ::-1]\n",
      "    return sym_data"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def display_array(arr):\n",
      "    im = PIL.Image.fromarray(np.uint8(cm.gist_earth(arr) * 255))\n",
      "    bio = BytesIO()\n",
      "    im.save(bio, format='png')\n",
      "    bio.getvalue()\n",
      "    display(IPI(bio.getvalue(), format='png'))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "url = 'https://farm4.staticflickr.com/3900/15362424645_b2c41c86b4_o_d.png'"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#sim_data = get_data_url('https://farm4.staticflickr.com/3839/15173631407_859191a4db_o_d.jpg')\n",
      "#sim_auto_correlation = get_auto_correlations(sim_data)\n",
      "image_data = get_data_url(url)\n",
      "image_auto_correlation = get_auto_correlations(image_data)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#display_array(image_data)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#display_array(np.fft.ifftshift(np.real_if_close(np.fft.ifftn(image_auto_correlation[0, ..., 1]))) * 1e8)\n",
      "#lt.imshow(np.real_if_close(np.fft.ifftn(image_auto_correlation[0, ..., 0])))\n",
      "#lt.colorbar()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#real_data = get_data_url('https://farm4.staticflickr.com/3918/15083260160_0e42df4bc9_o_d.jpg') # Log Scaled Image\n",
      "real_data = np.float_(get_data_url('https://farm6.staticflickr.com/5591/15083317630_45562a1369_o_d.jpg')) # Original Image\n",
      "print real_data.dtype\n",
      "#fig = plt.gcf()\n",
      "#fig.set_size_inches(24.5,18.5)\n",
      "#plt.imshow(sym_data[710:730, 710:730], shape=(25, 25), interpolation='none')\n",
      "fig = plt.gcf()\n",
      "fig.set_size_inches(24.5,18.5)\n",
      "plt.imshow(real_data, shape=(25, 25), interpolation='none')\n",
      "plt.colorbar()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "float64\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 10,
       "text": [
        "<matplotlib.colorbar.Colorbar instance at 0xb11ef08c>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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AbYhZAAAAALRhZxYAAADAROzMWmYyCwAAAIA2xCwAAAAA2hCzAAAAAGjDziwA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\nGn+xAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0xb106c1cc>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "XX = 2\n",
      "\n",
      "YY = -1\n",
      "scale_data = (real_data[6: 727, 237 + XX: 958 + XX] / 39)\n",
      "#scale_data = real_data[11:731, 235:956]\n",
      "#plt.imshow(scale_data, cmap=cm.gray)\n",
      "#display_array(scale_data)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 11
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sym_data = get_sym_data(scale_data)\n",
      "\n",
      "fig = plt.gcf()\n",
      "fig.set_size_inches(24.5,18.5)\n",
      "#plt.imshow(sym_data[710:730, 710:730], shape=(25, 25), interpolation='none')\n",
      "plt.imshow(sym_data, interpolation='none')\n",
      "plt.colorbar()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 12,
       "text": [
        "<matplotlib.colorbar.Colorbar instance at 0xb11ac1ac>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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JLkly6fCCqtqUZG9rrVXVeUlqpcArEXoBAAAAMEattf1V9cYkNyaZSfKB1trd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\nt0A+vn781Fe/d+X5geUDAAAAGNfW8gH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fir3D6R1J8pKqetry59e1WbyRhr3DOtb6ObX8\nN+vLtXiX2Ury2pWP4SlkOUj8J5Ic6u6vrByydzil7n6wuy/r7ucvf28+lsUbsjwae4cNdsnUBSSL\n4cBVdWOSD2XxDke3dvfhictiXr4zyQ8k+XRVfWq5dlOSn0tyZ1Vdn2QryfclSXc/VFV3ZvEfGTtJ\nbljeGgCP7wN7hzPxI0n+/fIPMv8zyeuz+Dll73BK3f1AVb07iz/qPZbkk0l+JckzY+9wElV1e5KX\nJnlOVT2S5Gdydj+nbkjy60melsU7z37wYn4dXHwn2Ts3Z/E78qVJ7lm+wd7HuvsGe4dVK3vn6x//\nd6e7b1s55as/h+wdNln5nQoAAACA0czl9kYAAAAAOG+EXgAAAAAMR+gFAAAAwHCEXgAAAAAMR+gF\nAAAAwHCEXgAAAAAMR+gFAAAAwHCEXgAAAAAM5/8D8WH56sOdAOAAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xb111bd8c>"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "beam_mask = np.where(sym_data[712:729, 712:729] < 0.35, 1.0, sym_data[712:729, 712:729])\n",
      "sym_data[712:729, 712:729] = beam_mask\n",
      "fig = plt.gcf()\n",
      "fig.set_size_inches(24.5,18.5)\n",
      "plt.imshow(sym_data[707:734, 707:734], shape=(25, 25), interpolation='none')\n",
      "plt.colorbar()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 13,
       "text": [
        "<matplotlib.colorbar.Colorbar instance at 0xb1225f2c>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0xb111b26c>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "fig = plt.gcf()\n",
      "fig.set_size_inches(24.5,18.5)\n",
      "plt.imshow(sym_data, shape=(25, 25), interpolation='none')\n",
      "plt.colorbar()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 14,
       "text": [
        "<matplotlib.colorbar.Colorbar instance at 0xac44ca6c>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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AdEfoBQAAAEB3zPQCAAAAGLgVEc7UVHoBAAAA0B0xIQCwRc72LY1n+3bFab/V\ncdp9fKsjAMClTKUXAAAAAN1R6QUAXGRnq8Ra3M5DAADMtZUszPoIc0foBQBcZItnuT5te+PZLG3R\nPgAA9ER7IwAAAADdEXoBAAAA0B3tjQDAJqzXmnhkzXuLZ/nM6vWdSY6f5/12Tnxuac39znZ9ozMC\nAMwXM72mp9ILANhC5xt4rdp5no9Jq3usDbXOdh0AgEuRSi8AYIusDbbOFkqNQ6zdSa7Mqee71yxf\nHj+S5GiS5dXw6/h4r6U19zhylusAAFyKhF4AwBZZnHi+UWVXTgVeq0HX/py6npwKu9ZaXt1jNfha\ntTS+55Gc2e4IAMClSOgFAGyTicBr0mqV15UT165Mcmj8fN0AbJp5YAAA8++kmV5TE3oBABs4W5vg\n5LD4xfHzpXU+u5TTKrJ2J3np+Pn+iaX7kx1XPpJKS0slSU7kslFb4/4kLclvJvloxq2Ok/dZve+R\nNWeYPNdGw+0n/zwAAPRC6AUAbLHFcy+58tTPHfsfyQ2Xvyv7cjiX5+EkyWdyRX76Rd+bYw/vyolD\n4/BrtR3y6LnuvbTpkwMA0A+hFwCwRRYnnk/O9Bq3Ne7PKLR68ejn7mfelwM5mH05nJsf/InkE0ke\nHH/sacnzrvtQPnL583L4RftyMAey/Km9p7a/MsmhnRP3WMqZM70AALiUCb0AgC22Zoj96gyv3Rm1\nMe5/JLsuP5an5lhelvfk+kPvT34gyZHk+KdHS3c+NXne3b+Zr//Gj+dX9r8wh3N18sxkeXki+Fqt\n+FpevddSTgVfAAB9WRHhTO1xsz4AANCLq3LmtzbuHFVlrbYm7k52XX4s+3I4V+ThUeD1xuTwR5Lj\nDyU7nzV6HD+WHP6hpH645fpD788VeTj7cvjU0PvVwfdXju9x2j0nzwEAwKVK6AUAXCQ7Tz2dCKn2\n5XD25XBuP/TS5I1Jnpb8UiX/9njl9f979Pi3xys7VnYnX5rUG1t+7dDfyb4czu5n3nd6iLbevQAA\nIEIvAGBTVqupFieeH8kZrYWrg+ePJDu+55Hs2P9I9uVwvq+9OXlb0qryBa//47SWpLXTHr/4+CP5\nwtf/cZKk3t7yvfnpHHt4V3bsfyQ7bnxk1NZ4NGvCr0ycY70zAgAwRFV1bVXdW1X3VdWr13n/QFV9\ntqruGj/+xbn21BAKAGyh1WBp56kw6nuS7B+1NR7Iwfz4W16bvC353N2Vf/e55Ob/8sXrb/Voy2ue\n8sV5/eMcQTcpAAAgAElEQVQqP/hFLc/4xAP5wIe/IT+TG0eD7f/1ZcnHktya0b2WV6u9zPUCAPqz\nkoVZH+GiqaqFJG9K8oKM/kPuY1V1W2vtnjVL72ytveR891XpBQBskbXzvHLaLK8kuSKfSd6WHL87\n2fnOcVXXuTzasvNdyfG7kq8/9PHRHsnps70es3pvVV0AAHPkmiT3t9aWWmsnkrwzyfXrrKtpNhV6\nAQBbb7Ll8Eiy48pH8tDDT81T81COfyL5omdXnnvdnee93XOvuzM7n53UHS1PyadHbY5XPnJ6QdcZ\nbY4AAMyJq5I8MPF6OWf+X8yW5Ouq6u6q+tWq2neuTbU3AgBbZHH8c9xmuFrldTT5q5f/Vq7Iw3lZ\ne09SSf1Yy4sf9/zz3vnFC89Pfj05/g3Jy25+T+68/Pn5TLs8Hz/69afCrqOr9149x9KF/oEAANge\n51H+n48n2dNaO15VfyvJe5M8Y6MPCL0AgC12PGu/TfGTD39lrrz8aO7M8/Mt7ReTOzax7R3Jzm9M\n7szzczj7cuyPdp3l3gAA/ZnnmV5/eHApf3jwDzdaciTJnonXezKq9npMa+1PJ56/r6reXFVf0lr7\no7NtKvQCALbI0vjn4un/ifLS5MTRy9IuP5bDtS87n50c/+Hkdf+jcss3nc//1Ev+5X+vHH95yxcd\nrBzOqJL9xNHLkq9O8tGMqrweu+fSunsAADAbX3ZgMV92YPGx1x+55UNrlxxKsreqFpM8mOSGJK+c\nXFBVu5I81FprVXVNktoo8ErM9AIAtszqgK2lU5eOZRRGjQOpT+cpyauSnc9KPv+K89y2Kp+/oWXn\ns5P/tf+r8plcMbq+PL7l0cnFq/f27Y0AAPOitXYyyU1Jbk9yOMm7Wmv3VNWNVXXjeNnLknyyqj6R\n5CeSnPO/JoVeAMAWmgibljOaznBo/EhyOFfnI9/1nOTmJI+2fHblDRtvV5VHVv716Plrk1vzPTmc\nq0evJ/Y9vfhd4AUAMG9aa+9rrf3l1tqXt9Z+eHzt1tbarePnP9Va+4rW2rNba1/XWvvoufbU3ggA\nbMJ6wdLkF+yM53otZzTQPsnyG/dm+av35l+96F/mmd/0qfzYB38oP/6yH0q7qXLLm85sc/zWld35\n8u8/kvp7P5T2wcoP7H9DDuZAlm/feyrwmqgiOzXPa/Uck5VnR9a8BwAwX+Z5ptesqPQCAC6SiaHy\nq1VfY5/OU/KW535rsj+pu1pet1z57KNvzM+t3Jufe/R38sijb8jeb15OfaIl+5O37P/WfCZX5NjD\nu07fc717AQBAVHoBAFtmsppqKclikuPJ0fE3OY5bET+4/29k1+XHcjhX56mvfSgv+cY7Uje0/PiD\nr80bHnptkmTnU5N8V5IXJr+y/4X5j7kxD2VXThy67FSV12OzvFYDr6U15wAA4FIm9AIAttiRnBZ8\nrVZkjdscTxy6LMu7L0uemfxSvjmHn7svr3nXTyafSHY+mKSSPC35yHXPyYfz13M4+/JQdmX5U2dr\na0wEXgAArCX0AgC2yFJG1V1rr+0bPV2tzBpXaS1nbw4+M7knfyVXX3VP9l11OHsfHCVZ9z1td345\nL8uH8rzTA6+jGYVd635j47nOAgAwv06a6TU1oRcAsIWWJp6vDo0ftx8uj9scj+ax0Gr50N4sZ29e\nuv/2POHKzyZfMLreHq5RK+NkuHUoyUdzKvg6Y47XkawfgAEAcCkSegEAGzhbu+DktyAujX8urnl/\n8vXYcpL3ZtTCuJxkd0Ztj1cmf778pNHr1XVH1/w8NPHeada5z2nnmjyv9kcAgEuF0AsAuEiWcnog\ndTzJzlNh12p4NRliHZ24dnSdNY+tXVvltXShhwUAoDNCLwBgiyyNfy7m9GH2mbg+EXyttTuntzNO\nDqufDMDO+LbGVUfOch0AYP6tiHCm5m8MANhiSzk9+NrA2pBro/eTnFnhtUrgBQDA6YReAMAWWQ2e\nViu8FrP+DK3F0Y/lnTk15P5ce0+sfSzYWrv32uvnCNwAAOja42Z9AACgN+c7LH69qq2lrF+tdbYK\nr83eGwCA3qn0AgA2Yb1waW1l1dL45+Kaz5xPJdbSOtfOFmhNrp3cUwAGAPRjJQuzPsLcUekFAAAA\nQHdUegEAF9nSwPYBAOBSIPQCAC6yrWozPNs+BtYDAHAmoRcAAADAwJnpNT2hFwCwRS52JdbZ9jGw\nHgCAMxlkDwAAAEB3hF4AAAAAdEd7IwAAAMDAnTTTa2oqvQAAAADojtALAAAAgO5obwQALjLfrggA\nwPYTegEAAAAM3IoIZ2raGwEAAADojtALAAAAgO4IvQAAAADojoZQAAAAgIFbycKsjzB3VHoBAAAA\n0B2hFwAAAADdEXoBAAAA0B0zvQAAAAAGzkyv6an0AgAAAKA7Qi8AAAAAuiP0AgAAAKA7ZnoBAAAA\nDJyZXtNT6QUAAABAd4ReAAAAAHRH6AUAAABAd4ReAAAAAHTHIHsAAACAgTtpkP3UVHoBAAAA0B2h\nFwAAAADdEXoBAAAA0B0zvQAAAAAGbkWEMzWVXgAAAAB0R+gFAAAAQHeEXgAAAAB0Z9MNoVV1c5Jv\nS/Jokk8m+fYkT0zyriRflmQpyctba38ysf47kqwk+f7W2vsv6OQAAAAAl4iVLMz6CHNnU5VeVbWY\n5LuTPKe19leTLCR5RZLXJLmjtfaMJB8Yv05V7UtyQ5J9Sa5N8uaqUmUGAAAAwEWx2eDpkSQnkuys\nqscn2ZnkwSQvSfL28Zq3J3np+Pn1Sd7RWjvRWltKcn+SazZ7aAAAAADYyKZCr9baHyX590n+b0Zh\n15+01u5Isqu1dmy87FiSXePnT0uyPLHFcpKrNnViAAAAADiHTc30qqq/lOSfJllM8tkkv1RV3za5\npv3/9u4/xrKzvA/499FSVxBoKEEyYG+1FJYURyQKEEwapbgpQVtUYdRIMVYghFgpkgtJqygBEinI\nqkRpotIQISxIgUBU7FoJJUYyP5y0RjRBGAM1TmwLu81Q7yJMQpLSpIoys376x71rrpedmb3765z7\n+vORrnTve86cecbzamf8nec8t7urqve4zC7Hblt5fmj5AAAAAMa1tXywGzO91nemg+yfn+QPuvvr\nSVJVH0ry/Um+WlVP6e6vVtVTk3xtef6xJAdXPv7S5dopXHGGJQEAAACb6VAe2fTyyWnKYChnOtPr\n3iQvrKrHVlUleXGSu5N8JMmrl+e8OsmHl89vTvKKqrqoqp6e5HCS28+8bAAAAADY3Rl1enX3nVX1\ngSR3JHkoyeeTvDvJE5LcVFXXZNGX+KPL8++uqpuyCMZ2klzb3Xvd+ggAAAAAZ+xMb29Md/9ykl8+\nafnPsuj6OtX5b0nyljP9fAAAAACPVjtmeq3tTG9vBAAAAIDZEnoBAAAAMByhFwAAAADDOeOZXgAA\nAABcGMdFOGvT6QUAAADAcIReAAAAAAxH6AUAAADAcNwQCgAAADBzx3Ng6hI2jk4vAAAAAIYj9AIA\nAABgOEIvAAAAAIZjphcAAADAzJnptT6dXgAAAAAMR+gFAAAAwHCEXgAAAAAMx0wvAAAAgJnbMdNr\nbTq9AAAAABiO0AsAAACA4Qi9AAAAABiOmV4AAAAAM3dchLM2nV4AAAAADEfoBQAAAMBwhF4AAAAA\nDMcNoQAAAAAzdzwHpi5h4+j0AgAAAGA4Qi8AAAAAhiP0AgAAAGA4ZnoBAAAAzJyZXuvT6QUAAADA\ncIReAAAAAAxH6AUAAADAcMz0AgAAAJg5M73Wp9MLAAAAgOEIvQAAAAAYjtALAAAAgOGY6QUAAAAw\ncztmeq1NpxcAAAAAwxF6AQAAADCpqjpSVfdW1X1V9YY9zvu+qtqpqn++3zWFXgAAAABMpqoOJHlH\nkiNJLktydVU9e5fz/l2SjyWp/a5rphcAAADAzB0fO8J5QZL7u3srSarqxiRXJrnnpPNen+S3knzf\n6VxUpxcAAAAAU7okyQMrr48u1x5WVZdkEYRdv1zq/S46dEwIAAAAwLT+6rY78v9uu2OvU/YNsJL8\napI3dndXVcXtjQAAAABM6duueH6+7YrnP/z6T69798mnHEtycOX1wSy6vVY9L8mNi7wrT07yT6tq\nu7tv3u3zCr0AAAAAZu54Dkxdwvl0R5LDVXUoyVeSXJXk6tUTuvvvn3heVe9L8pG9Aq9E6AUAAADA\nhLp7p6pel+TjSQ4keU9331NVr10ef9eZXFfoBQAAAMCkuvujST560topw67ufs3pXNO7NwIAAAAw\nHJ1eAAAAADM3+Eyv80KnFwAAAADDEXoBAAAAMByhFwAAAADDMdMLAAAAYOZ2zPRam04vAAAAAIYj\n9AIAAABgOEIvAAAAAIZjphcAAADAzB0X4axNpxcAAAAAwxF6AQAAADAcoRcAAAAAw3FDKAAAAMDM\nHc+BqUvYODq9AAAAABiO0AsAAACA4Qi9AAAAABiOmV4AAAAAM2em1/p0egEAAAAwHKEXAAAAAMMR\negEAAAAwHDO9AAAAAGbu+ENmeq1LpxcAAAAAwxF6AQAAADAcoRcAAAAAwzHTCwAAAGDmdrbN9FqX\nTi8AAAAAhiP0AgAAAGA4Qi8AAAAAhmOmFwAAAMDMHT8uwlmXTi8AAAAAhiP0AgAAAGA4Qi8AAAAA\nhuOGUAAAAICZO759YOoSNo5OLwAAAACGI/QCAAAAYDhCLwAAAACGY6YXAAAAwMwdP26m17p0egEA\nAAAwHKEXAAAAAMMRegEAAAAwHDO9AAAAAGZuZ9tMr3Xp9AIAAABgOEIvAAAAAIYj9AIAAABgOGZ6\nAQAAAMzcQ8dFOOvS6QUAAADAcIReAAAAAAxH6AUAAADAcNwQCgAAADB32wemrmDj6PQCAAAAYDhC\nLwAAAACGI/QCAAAAYDhmegEAAADM3XEzvdal0wsAAACA4Qi9AAAAABiO0AsAAACA4ZjpBQAAADB3\n2zV1BRtHpxcAAAAAwxF6AQAAADAcoRcAAAAAwxF6AQAAADAcg+wBAAAA5u741AVsHp1eAAAAAAxH\n6AUAAADAcIReAAAAAAzHTC8AAACAudueuoDNo9MLAAAAgOEIvQAAAAAYjtALAAAAgOGY6QUAAAAw\nd8enLmDz6PQCAAAAYDhCLwAAAACGI/QCAAAAYDhmegEAAADM3fbUBWwenV4AAAAADEfoBQAAAMBw\nhF4AAAAADMdMLwAAAIC5Oz51AZtHpxcAAAAAwxF6AQAAADAcoRcAAAAAwzHTCwAAAGDutqcuYPPo\n9AIAAABgOEIvAAAAAIYj9AIAAABgOGZ6AQAAAMzd8akL2Dw6vQAAAAAYzp6hV1W9t6oerKq7Vtae\nVFW3VtWXquoTVfXElWNvqqr7qureqnrJyvrzququ5bG3n58vBQAAAAAW9uv0el+SIyetvTHJrd39\nrCS/t3ydqrosyVVJLlt+zDurqpYfc32Sa7r7cJLDVXXyNQEAAADgnNlzpld3f6qqDp20/LIkL1o+\nf3+S27IIvq5MckN3byfZqqr7k1xeVV9O8oTuvn35MR9I8vIkHzsXXwAAAADA8LanLmDznMlMr4u7\n+8Hl8weTXLx8/rQkR1fOO5rkklOsH1uuAwAAAMB5cVbv3tjdXVV9ropZuG3l+aHlAwAAABjX1vIB\n586ZhF4PVtVTuvurVfXUJF9brh9LcnDlvEuz6PA6tny+un5s98tfcQYlAQAAAJvrUB7Z9PLJacpg\nKGdye+PNSV69fP7qJB9eWX9FVV1UVU9PcjjJ7d391STfqKrLl4PtX7XyMQAAAADs5/hAj1OoqiNV\ndW9V3VdVbzjF8Sur6s6q+kJVfa6qfmi//2R7dnpV1Q1ZDK1/clU9kOSXkrw1yU1VdU0WvYc/miTd\nfXdV3ZTk7iQ7Sa7t7hO3Pl6b5DeSPDbJLd1tiD0AAAAAqaoDSd6R5MVZ3B342aq6ubvvWTntd7v7\nd5bnPyfJf0nyzL2uu9+7N169y6EX73L+W5K85RTrn0vynL0+FwAAAACPSi9Icn93byVJVd2Y5Mok\nD4de3f1XK+c/Psmf7nfRM7m9EQAAAADOlUuSPLDy+uhy7RGq6uVVdU+Sjyb56f0uelbv3ggAAADA\nBbA9dQFn4a7bkj+8ba8zeq+DD5/U/eEkH66qH0zym0m+c6/zhV4AAAAAnD/PuWLxOOE/X3fyGceS\nHFx5fTCLbq9T6u5PVdVjquo7uvvru53n9kYAAAAApnRHksNVdaiqLkpyVZKbV0+oqmdUVS2fPzdJ\n9gq8Ep1eAAAAAEyou3eq6nVJPp7kQJL3dPc9VfXa5fF3JfmRJD9eVdtJ/jLJK/a7bnWf1m2TF0RV\ndfLmqcsAAAAAJnVdurumrmIuqqrz2/PJb87aj9QF+f66vREAAACA4Qi9AAAAABiO0AsAAACA4Rhk\nDwAAADB321MXsHl0egEAAAAwHKEXAAAAAMMRegEAAAAwHDO9AAAAAObu+NQFbB6dXgAAAAAMR+gF\nAAAAwHCEXgAAAAAMx0wvAAAAgLnbnrqAzaPTCwAAAIDhCL0AAAAAGI7QCwAAAIDhmOkFAAAAMHfH\npy5g8+j0AgAAAGA4Qi8AAAAAhiP0AgAAAGA4ZnoBAAAAzN321AVsHp1eAAAAAAxH6AUAAADAcIRe\nAAAAAAzHTC8AAACAuTs+dQGbR6cXAAAAAMMRegEAAAAwHKEXAAAAAMMx0wsAAABg7ranLmDz6PQC\nAAAAYDhCLwAAAACGI/QCAAAAYDhmegEAAADM3fGpC9g8Or0AAAAAGI7QCwAAAIDhCL0AAAAAGI6Z\nXgAAAABztz11AZtHpxcAAAAAwxF6AQAAADAcoRcAAAAAwzHTCwAAAGDujk9dwObR6QUAAADAcIRe\nAAAAAAxH6AUAAADAcMz0AgAAAJi77akL2Dw6vQAAAAAYjtALAAAAgOEIvQAAAAAYjpleAAAAAHO3\nM3UBm0enFwAAAADDEXoBAAAAMByhFwAAAADDMdMLAAAAYO7M9FqbTi8AAAAAhiP0AgAAAGA4Qi8A\nAAAAhmOmFwAAAMDcmem1Np1eAAAAAAxH6AUAAADAcIReAAAAAAzHTC8AAACAuTPTa206vQAAAAAY\njtALAAAAgOEIvQAAAAAYjpleAAAAAHNnptfadHoBAAAAMByhFwAAAADDEXoBAAAAMBwzvQAAAADm\nzkyvten0AgAAAGA4Qi8AAAAAhiP0AgAAAGA4ZnoBAAAAzJ2ZXmvT6QUAAADAcIReAAAAAAxH6AUA\nAADAcMz0AgAAAJg7M73WptMLAAAAgOEIvQAAAAAYjtALAAAAgOGY6QUAAAAwd2Z6rU2nFwAAAADD\nEXoBAAAAMByhFwAAAADDEXoBAAAAMByD7AEAAADmziD7ten0AgAAAGA4Qi8AAAAAhiP0AgAAAGA4\nZnoBAAAAzJ2ZXmvT6QUAAADAcIReAAAAAAxH6AUAAADAcMz0AgAAAJg7M73WptMLAAAAgOEIvQAA\nAACYVFUdqap7q+q+qnrDKY7/WFXdWVVfrKrfr6rv3u+aQi8AAAAAJlNVB5K8I8mRJJclubqqnn3S\naf8ryT/q7u9O8m+SvHu/65rpBQAAADB3Y8/0ekGS+7t7K0mq6sYkVya558QJ3f3plfM/k+TS/S6q\n0wsAAACAKV2S5IGV10eXa7u5Jskt+11UpxcAAAAA58+f3pZ8/ba9zujTvVRV/eMkP5nkB/Y7V+gF\nAAAAwPnz5CsWjxPuu+7kM44lObjy+mAW3V6PsBxe/+tJjnT3n+/3aYVeAAAAAHM39kyvO5IcrqpD\nSb6S5KokV6+eUFV/L8mHkryyu+8/nYsKvQAAAACYTHfvVNXrknw8yYEk7+nue6rqtcvj70ryS0n+\nbpLrqypJtrv7BXtdt7pP+7bJ866qOnnz1GUAAAAAk7ou3V1TVzEXVdU5Mp/85qx9rC7I99e7NwIA\nAAAwHLc3AgAAAMzd2DO9zgudXgAAAAAMR+gFAAAAwHCEXgAAAAAMx0wvAAAAgLkz02ttOr0AAAAA\nGI7QCwAAAIDhCL0AAAAAGI6ZXgAAAABzZ6bX2nR6AQAAADAcoRcAAAAAwxF6AQAAADAcM70AAAAA\n5s5Mr7Xp9AIAAABgOEIvAAAAAIYj9AIAAABgOGZ6AQAAAMydmV5r0+kFAAAAwHCEXgAAAAAMR+gF\nAAAAwHDM9AIAAACYOzO91qbTCwAAAIDhCL0AAAAAGI7QCwAAAIDh7Bl6VdV7q+rBqrprZe1Xquqe\nqrqzqj5UVd++cuxNVXVfVd1bVS9ZWX9eVd21PPb28/OlAAAAAAxqZ6DHBbJfp9f7khw5ae0TSb6r\nu78nyZeSvClJquqyJFcluWz5Me+sqlp+zPVJrunuw0kOV9XJ1wQAAACAc2bP0Ku7P5Xkz09au7W7\nH1q+/EySS5fPr0xyQ3dvd/dWkvuTXF5VT03yhO6+fXneB5K8/BzVDwAAAADf4mxnev1kkluWz5+W\n5OjKsaNJLjnF+rHlOgAAAACcF4850w+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32MszsvhjzZ3L35svTfK5qro49g4bbC6h1x1Z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\n",
       "text": [
        "<matplotlib.figure.Figure at 0xb11a1d2c>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "assert(np.array_equal(sym_data, sym_data[::-1, ::-1]))\n",
      "assert(np.array_equal(sym_data, sym_data[::-1]))\n",
      "assert(np.array_equal(sym_data, sym_data[:, ::-1]))\n",
      "assert(np.unique(sym_data.imag) == [0])\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 15
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sym_data_shift = np.fft.ifftshift(sym_data)\n",
      "real_auto = np.real_if_close(np.fft.ifftn(sym_data_shift)) # / np.product(np.array(sym_data.shape))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 16
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print np.min(real_auto)\n",
      "print np.max(real_auto)\n",
      "#plt.imshow(np.fft.fftshift(np.abs(real_auto)) * 2.8e3)\n",
      "#plt.imshow(np.fft.fftshift(np.abs(real_auto)) * 0.7e2)\n",
      "#plt.colorbar()\n",
      "#print np.unique(np.real_if_close(real_auto).imag)\n",
      "print np.min(real_auto.real), np.max(real_auto.real)\n",
      "print np.min(real_auto.imag), np.max(real_auto.imag)\n",
      "#display_array(np.fft.fftshift(np.abs(real_auto)) * 2.8e3) #linearly scaled from 0 to 1\n",
      "#display_array(np.fft.fftshift(np.abs(real_auto)) * 1e3) #linearly scaled from 0 to 1 with beam mask\n",
      "#display_array(np.fft.fftshift(np.abs(real_auto)) * 0.7e2) #log scaled data\n",
      "fig = plt.gcf()\n",
      "fig.set_size_inches(24.5,18.5)\n",
      "#plt.imshow(np.fft.fftshift(np.abs(real_auto)) * 2.8e3, shape=(25, 25), interpolation='none')\n",
      "plt.imshow(np.fft.fftshift(real_auto.real) * 2.8e3, shape=(25, 25), interpolation='none')\n",
      "plt.colorbar()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "-1.41627160004e-05\n",
        "0.0003569278246\n",
        "-1.41627160004e-05 0.0003569278246\n",
        "0.0 "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0.0\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 17,
       "text": [
        "<matplotlib.colorbar.Colorbar instance at 0xac38510c>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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nI75sZNR4rzTGj9gNX7s7jB36Cl6xpGtm4p1hKgPdNcVjymL2gZtRE8CF5y6n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BqjpcrxrXebbaZHQt0jtPeGtfD3lU+XZJ3BgVRwr9zUMfasnLhz0BdxGx0xhdiJIkcYqn4mF0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\nNsmpzb4VeHQx4e02SoqAfjzFBc7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       "text": [
        "<matplotlib.figure.Figure at 0xb11c81ec>"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print np.unique(np.abs(real_auto.imag))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[ 0.]\n"
       ]
      }
     ],
     "prompt_number": 18
    }
   ],
   "metadata": {}
  }
 ]
}