{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Background removal (for source detection)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first step in detecting sources is to remove any background from the image. There are a number of ways to do this, ranging from subtracting a single value (typically the median or mean) from every pixel to more sophisticated methods either fit a slowly-varying shape to the background or that smooth the input image in some way.\n", "\n", "There is probably not a single \"best\" way to do this; what matters is whether you are able to detect the sources you need to detect in the images you have.\n", "\n", "Note that the way you do background removal for source detection does *not* need to be the same way you do it for photometry. It is perfectly fine to use the same method for both, of course, but it is not required." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## \"Simple\" approach: median or other scalar estimator of background \n", "\n", "The simplest way to estimate the background is with a single number, perhaps the mean or median of the data. The problem with that approach is that the distribution of pixel value in an astronomical image is not symmetric. Most of the pixels have values near zero while a small number have significantly higher values.\n", "\n", "The [photutils] documentation on [scalar background and noise estimation](https://photutils.readthedocs.io/en/stable/background.html#scalar-background-and-noise-estimation) walk through this step-by-step, demonstrating the result you get with a variety of background estimators.\n", "\n", "The upshot is that the best estimate of the background is obtained by first masking the sources in the image and then sigma clipping the unmasked parts of the data. The mean and median of the unmasked parts of the image give almost exactly the same value, and standard deviation recovered from the data matches that of the input." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pixel distribution in simulated image\n", "\n", "We begin by constructing a histogram of pixel values in a sample image. The code below illustrates a few useful things from astropy and photutils:\n", "\n", "+ photutils comes with useful simulated images.\n", "+ astropy comes with a histogram function that will automatically bin the data in a way that brings out features in your data that uniform-width bins might miss.\n", "+ astropy has several stretches and normalizations to bring out features in astronomical images.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Simulated image: 100 Gaussian sources" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "from photutils.datasets import make_100gaussians_image\n", "from photutils import make_source_mask, Background2D, MeanBackground, MADStdBackgroundRMS\n", "\n", "from astropy.visualization import SqrtStretch\n", "from astropy.visualization.mpl_normalize import ImageNormalize\n", "from astropy.visualization import hist\n", "from astropy.stats import sigma_clipped_stats, SigmaClip\n", "\n", "\n", "data = make_100gaussians_image()\n", "\n", "norm = ImageNormalize(stretch=SqrtStretch())\n", "plt.imshow(data, norm=norm, origin='lower', cmap='Greys_r')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Distribution of pixels\n", "\n", "There are a couple of things to note about this distrubtion. \n", "\n", "The bulk of the pixel values are noise. The function `make_100gaussians_image` adds a background with a Gaussian distribution centered at 5 with a standard deviation of 2. The long tail at higher pixel values are from the sources in the image." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmcAAAFACAYAAAD589sCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAHB1JREFUeJzt3X20ZXV93/H3h2dlcFCRqQI6Y3loWKQ+jU/RxhkTIhQBJUal1SoLGc1Sa226DLqsJssmNssolYqaqRJ0NWWixBpArI7WqzRBFw8aRQkjFR9GxCFNMsygDCDf/nH2lct4H86de/Y9e5/7fq111z173332+c6PPXc+/H6/vX+pKiRJktQN+427AEmSJD3AcCZJktQhhjNJkqQOMZxJkiR1iOFMkiSpQwxnkiRJHWI4kyRJ6hDDmSRJUocYziRJkjrkgHEXsBRHHHFErV27dtxlzOmuu+7i0EMPHXcZE802bpft2z7buH22cbts3+Fdf/31f1dVj1rouF6Hs7Vr13LdddeNu4w5TU1NsWHDhnGXMdFs43bZvu2zjdtnG7fL9h1eku8Nc5zDmpIkSR1iOJMkSeqQXoazJKcn2bxz585xlyJJkjRSvQxnVXVFVW1avXr1uEuRJEkaqV6GM0mSpEllOJMkSeoQw5kkSVKHGM4kSZI6xHAmSZLUIYYzSZKkDjGc9dQFW7eNuwRJktSCXoazlfgQ2plhzGAmSdLk6mU4W6kPob1g6zZDmiRJE66X4WylmS+E7R3YJElSvxnOJEmSOsRw1nHD9orZeyZJ0mQwnEmSJHWI4UySJKlDDGcdttihSoc2JUnqP8OZJElShxjOOmpfe8HsPZMkqd8MZ5IkSR1iOJMkSeoQw1kHLXVo0qFNSZL6q5fhbCUufC5JklaGXoazlbrw+WLYeyZJUj/1MpxNMkOVJEkrm+FMkiSpQwxnkiRJHWI46xCHNCVJkuFsghn2JEnqH8OZJElShxjOOqKtXi57zyRJ6hfDmSRJUocYziRJkjrEcLYCOLQpSVJ/GM4kSZI6xHAmSZLUIYYzSZKkDjGcrRDOO5MkqR8MZ5IkSR1iOOsAe7UkSdK0zoSzJL+U5INJLkvy2+OuR5IkaRxaDWdJLk6yI8mNe+0/JcnNSW5Jcj5AVd1UVa8BXgysb7MuSZKkrmq75+wS4JSZO5LsD1wEnAqcCJyd5MTmZ2cA/wf4fMt1rUgOn0qS1H2pqnY/IFkLXFlVJzXbzwR+r6qe12y/GaCq3jnjPZ+qqtPmON8mYBPAmjVrnrJly5ZW61+K3bt3s2rVqnmP2bFrzzJVM3DkYQcv6+e1bZg21r6zfdtnG7fPNm6X7Tu8jRs3Xl9VC44OHrAcxezlKOAHM7a3A09PsgE4CzgYuGquN1fVZmAzwPr162vDhg2tFbpUU1NTLFTfcvdmvXjD8cv6eW0bpo2172zf9tnG7bON22X7jt44wllm2VdVNQVMLW8pkiRJ3TKOuzW3A8fM2D4auG0xJ0hyepLNO3fuHGlhkiRJ4zaOcHYtcFySdUkOAl4KXL6YE1TVFVW1afXq1a0UuFycoC9JkvbW9qM0LgWuAU5Isj3JuVV1H/A64DPATcDHquqbbdahBxgIJUnqtlbnnFXV2XPsv4p5Jv1LkiStVJ1ZIWAxnHMmSZImVS/D2aTMOZMkSdpbL8OZJEnSpDKcrUDeFCBJUnf1MpxNwpwzA5IkSZpNL8OZc84kSdKk6mU4kyRJmlSGM0mSpA4xnI2B880kSdJcehnOJuGGgHEzIEqS1E29DGfeECBJkiZVL8OZJEnSpDKcSZIkdYjhTJIkqUN6Gc68IWA0vClAkqTu6WU484YASZI0qXoZzvrM3ipJkjQfw5kkSVKHGM5WOHvyJEnqFsOZJElShxjOlpG9VJIkaSG9DGc+SkOSJE2qXoYzH6UhSZImVS/DmSRJ0qQynEmSJHWI4UzeqCBJUocYzpaJAUiSJA3DcCZJktQhhjMB9uxJktQVhjNJkqQO6WU48yG0kiRpUvUynPkQWkmSNKl6Gc4kSZImleFMkiSpQwxn+jnv2JQkafwMZ5IkSR1iOJMkSeoQw5kkSVKHGM6WgXO5JEnSsAxnkiRJHWI4kyRJ6pAFw1mSZyU5tHn9siTvSfK49kuTJElaeYbpOfsA8JMkTwDeBHwP+GirVWlsnB8nSdJ4DRPO7quqAs4E3ltV7wUOa7es+bnwuSRJmlTDhLNdSd4MvAz4VJL9gQPbLWt+fVr43J4oSZK0GMOEs5cAe4Bzq+p24CjgXa1WJUmStEItGM6q6vaqek9VXd1sf7+qnHM2weztkyRpfOYMZ0l2Jblzlq9dSe5cziK1/AxokiSNxwFz/aCqxjrpX5IkaSUa6iG0SZ6d5Jzm9RFJ1rVblrrCHjRJkpbXMA+hfTvwu8Cbm10HAf+9zaIkSZJWqmF6zl4InAHcBVBVtzHm55xJkiRNqmHC2T3NQ2gLYHopJy1sx6494y5BkiT1zDDh7GNJ/gQ4PMl5wOeAD7VblrrA+WaSJC2/Oe/WnFZVf5zkZOBO4ATgbVW1tfXKJEmSVqAFw1mSE5swtnXGvg1VNdVmYZIkSSvRsMOab8rAQ5L8V+CdbRcmSZK0Eg0Tzp4OPBb4a+Ba4DbgWW0WpW5x7pkkSctnmHB2L/BT4CHAIcCtVXV/q1VJkiStUMOEs2sZhLOnAs8Gzk5yWatVTQB7myRJ0r5Y8IYA4Nyquq55fTtwZpKXt1FMkhcApwFHAhdV1Wfb+BxJkqSumrPnLMnDmpffSfKImV/Ap4b9gCQXJ9mR5Ma99p+S5OYktyQ5H6CqPllV5wGvBF6y6D+NJElSz803rPk/mu/XA9c136+fsT2sS4BTZu5Isj9wEXAqcCKDodITZxzy1ubn6giHaSVJWh5zDmtW1fOb7+uW8gFV9aUka/fa/TTglqr6DkCSLQyGS28C/jPw6aq6YSmfK0mS1EcZLJu5wEHJWQxuBijg6qr65KI+ZBDOrqyqk5rtFwGnVNWrmu2XM3hkxzbgFQxuQvhaVX1wlnNtAjYBrFmz5ilbtmxZTCnLZseuPRx4/x7u3e/gcZcyMkce1r0/y+7du1m1atW4y5hYtm/7bOP22cbtsn2Ht3Hjxuurav1Cxw2zQsD7gWOBS5tdr0lyclW9dgn1ZZZ9VVUXAhfO98aq2gxsBli/fn1t2LBhCWW054Kt2zjq7lv54SFL6njslBdvOJ4Ltm7jjScfP+5Sfm5qaoquXgOTwPZtn23cPtu4Xbbv6A1zt+ZzgJOq6WJL8hHgG0v83O3AMTO2j2bwcFt1mPPOJElq3zDPObuZwQoB044Bvr7Ez70WOC7JuiQHAS8FLh/2zUlOT7J5586dSyxDkiSpW4YJZ48EbkoylWQK+BbwqCSXJ1kwUCW5FLgGOCHJ9iTnVtV9wOuAzwA3AR+rqm8OW3RVXVFVm1avXj3sWzRC9qBJktSeYYY137aUD6iqs+fYfxVw1VLOLUmSNGkWDGdV9cXlKESSJEnDDWt2TtfnnDnsJ0mS9lUvw5lzziRJ0qSab23Nzzff/2j5ylGf2EMoSdLozddz9ugkzwHOSPKkJE+e+bVcBarbDGiSJI3WfDcEvA04n8EDYt+z188KeG5bRS0kyenA6ccee+y4StAMXVs1QJKkPptv4fPLgMuS/Meqescy1rSgqroCuGL9+vXnjbuWlcoeM0mS2jHMozTekeQM4FebXVNVdWW7ZfWXoUWSJC3FgndrJnkn8AYGKwN8C3hDs0+SJEkjNswKAacBT6yq++HnC59/FXhzm4VJkiStRMM+5+zwGa/H/nCxrj+EVpIkaV8NE87eCXw1ySVNr9n1wB+2W9b8fAitJEmaVAuGs6q6FHgG8Inm65lVtaXtwtQv3gghSdJoDDWsWVU/qqrLq+ovq+r2totSP00HNIOaJEn7rpdra0qSJE2qXoYzbwjoF3vSJEka3rzhLMl+SW5crmKG5Q0BkiRpUs0bzppnm/1NkscuUz2aEPaWSZK0b4YZ1nw08M0kn09y+fRX24Wpn/YOZd4kIEnS4gyzQsDvt16FVoQLtm7jjScfP+4yJEnqtGEWPv9ikscBx1XV55I8FNi//dIkSZJWnmEWPj8PuAz4k2bXUcAn2yxKkiRppRpmztlrgWcBdwJU1beBI9ssaiE+SkOSJE2qYcLZnqq6Z3ojyQFAtVfSwnyUhiRJmlTDhLMvJnkL8JAkJwMfB65otyxNOu/elCRpdsOEs/OBO4BvAK8GrgLe2mZRmgyLCWCGNUmSBoa5W/P+JB8BvsJgOPPmqhrrsKb6y8dpSJI0vwXDWZLTgA8C/xcIsC7Jq6vq020XJ0mStNIM8xDadwMbq+oWgCT/FPgUYDiTJEkasWHmnO2YDmaN7wA7Wqqn15w3NRzbSZKkuc0ZzpKcleQsButqXpXklUleweBOzWuXrUKtOIY3SdJKNt+w5ukzXv8YeE7z+g7g4a1VNIQkpwOnH3vsseMsQ5IkaeTmDGdVdc5yFrIYVXUFcMX69evPG3ctkiRJozTM3ZrrgNcDa2ceX1VntFeWVhKHMSVJesAwd2t+Evgwg7lm97dbjiRJ0so2TDi7u6oubL0SSZIkDRXO3pvk7cBngT3TO6vqhtaqkiRJWqGGCWe/DLwceC4PDGtWsy1ckmgpnG8mSdKDDRPOXgg8vqruabuYPjNkjJaBV5K0Ug2zQsDfAIe3XYhWHgOtJEm/aJieszXA3ya5lgfPOfNRGpIkSSM2TDh7e+tVSJIkCRginFXVF5ejEGku0/PPpodBnYsmSZpkC845S7IryZ3N191JfpbkzuUobp6aTk+yeefOneMsQ2PkfDVJ0qRaMJxV1WFV9bDm6xDgN4H3tV/avDVdUVWbVq9ePc4yJEmSRm6YuzUfpKo+ic84U0vsEZMkrXTDLHx+1ozN/YD1DB5CK0mSpBEb5m7N02e8vg/4LnBmK9VIkiStcMPcrXnOchQiSZKkecJZkrfN876qqne0UI8kSdKKNl/P2V2z7DsUOBd4JGA4wwnskiRptOYMZ1X17unXSQ4D3gCcA2wB3j3X+yRJkrTv5n2URpJHJPlPwNcZBLknV9XvVtWOZalOK8revZCL7ZWcPt7eTElSn8035+xdwFnAZuCXq2r3slUlSZK0Qs3Xc/Y7wGOAtwK3zVjCade4l2+ShmEPmiSpj+abc7bo1QMkSZK0NAYwSZKkDjGcqRfmG6J0+FKSNEkMZ5IkSR1iOFOnDdsrZs+aJGlSGM4kSZI6pDPhLMnjk3w4yWXjrkWSJGlcWg1nSS5OsiPJjXvtPyXJzUluSXI+QFV9p6rObbMeTYZhhjBnO8bhTUlSH7Tdc3YJcMrMHUn2By4CTgVOBM5OcmLLdUiSJPVCq+Gsqr4E/P1eu58G3NL0lN3DYCH1M9usQ5IkqS9SVe1+QLIWuLKqTmq2XwScUlWvarZfDjwdeDvwB8DJwIeq6p1znG8TsAlgzZo1T9myZUur9S9kx649c/7swPv3cO9+By9jNSvLkYcdzO7du/lJHTjvMTt27XnQdw1v9+7drFq1atxlTDTbuH22cbts3+Ft3Ljx+qpav9Bxcy7f1KLMsq+q6v8Br1nozVW1mcFi7Kxfv742bNgw2uoWab55TEfdfSs/PGTdMlazsrx4w/FMTU3x7XsfM+8xF2zd9qDvGt7U1BTj/js26Wzj9tnG7bJ9R28cd2tuB46ZsX00cNsY6pAkSeqccYSza4HjkqxLchDwUuDyxZwgyelJNu/cubOVAtUPS737cqH3e3enJGkc2n6UxqXANcAJSbYnObeq7gNeB3wGuAn4WFV9czHnraorqmrT6tWrR1+0JEnSGLU656yqzp5j/1XAVW1+tiRJUh91ZoUASZIk9TScdWHO2QVbtzknaUL531WSNE69DGfOOZMkSZOql+FMkiRpUhnOJEmSOqSX4awLc87UDfMtnwUPzB8b9plm+3Kcc9QkSaPUy3DmnDNJkjSpehnOJEmSJpXhTJIkqUN6Gc6cc6al2HuO2GLX2Bx2jplz0SRJ+6KX4cw5Z5IkaVL1MpxJkiRNKsOZJElShxjOJEmSOsRwJkmS1CG9DGferak27MvdlYt5z1zHXrB1m3d2SpJ+rpfhzLs1JUnSpOplOJMkSZpUhjNJkqQOMZxJkiR1iOFMkiSpQwxnkiRJHdLLcOajNLSv9vWRFW0tjj7sZ893vjY/W5K0/HoZznyUhiRJmlS9DGeSJEmTynAmSZLUIYYzSZKkDjGcSZIkdYjhTJIkqUMMZ5IkSR1iOJMkSeqQXoazcT6E1gd8Tpa5/nvOtn+hh73O9rDY6e2Z+4d5vVTLcZ36d0GS2tHLcOZDaCVJ0qTqZTiTJEmaVIYzSZKkDjGcSZIkdYjhTJIkqUMMZ5IkSR1iOJMkSeoQw5kkSVKHGM4kSZI6xHAmSZLUIYYzSZKkDullOFvOtTWHWWNR/TPsf8NR/LdezDU021qcizluMWuFLnRuSdJ49DKcubamJEmaVL0MZ5IkSZPKcCZJktQhhjNJkqQOMZxJkiR1iOFMkiSpQwxnkiRJHWI4kyRJ6hDDmSRJUocYziRJkjrEcCZJktQhhjNJkqQOMZxJkiR1iOFMkiSpQwxnkiRJHWI4kyRJ6hDDmSRJUoccMO4CpiU5FHg/cA8wVVV/NuaSJEmSll2rPWdJLk6yI8mNe+0/JcnNSW5Jcn6z+yzgsqo6DzijzbokSZK6qu1hzUuAU2buSLI/cBFwKnAicHaSE4GjgR80h/2s5bokSZI6KVXV7gcka4Erq+qkZvuZwO9V1fOa7Tc3h24H/qGqrkyypapeOsf5NgGbANasWfOULVu2tFr/jl17OPKwg9mxa8+i33vg/Xu4d7+DW6hK0/rcxgtdV3v/fLHHz/bzmYY594H37+Hhqx/2oPdMn2fm69nsfexcNUx/9mznGvbns/25Zu5fqNbFGsX5ps+xe/duflIHAr/YPstl1O3TNbt372bVqlWLft+kt8t8FvNn39f2HbfF/D4blY0bN15fVesXOm4cc86O4oEeMhiEsqcDFwLvS3IacMVcb66qzcBmgPXr19eGDRvaqxS4YOs2XrzheC7Yum3R7z3q7lv54SHrWqhK0/rcxgtdV3v/fLHHz/bzmYY591F338rMv2PTfx/2fj2bvY+dq4bpz57tXMP+fLY/18z9C9W6WKM43/Q5pqam+Pa9jwF+sX2Wy6jbp2umpqbYl38rJr1d5rOYP/u+tu+4Leb32XIbRzjLLPuqqu4CzlnuYiRJkrpkHI/S2A4cM2P7aOC2MdQhSZLUOeMIZ9cCxyVZl+Qg4KXA5Ys5QZLTk2zeuXNnKwVKkiSNS9uP0rgUuAY4Icn2JOdW1X3A64DPADcBH6uqby7mvFV1RVVtWr169eiLliRJGqNW55xV1dlz7L8KuKrNz5YkSeqjXi7f5LCmJEmaVL0MZw5rSpKkSdXLcCZJkjSpDGeSJEkd0stw5pwzSZI0qXoZzpxzJkmSJlXrC5+3KckdwPfGXcc8jgD+btxFTDjbuF22b/ts4/bZxu2yfYf3uKp61EIH9TqcdV2S64ZZfV77zjZul+3bPtu4fbZxu2zf0evlsKYkSdKkMpxJkiR1iOGsXZvHXcAKYBu3y/Ztn23cPtu4XbbviDnnTJIkqUPsOZMkSeoQw5kkSVKHGM5akuSUJDcnuSXJ+eOup++SHJPkC0luSvLNJG9o9j8iydYk326+P3zctfZdkv2TfDXJlc32uiRfadr4z5McNO4a+yzJ4UkuS/K3zfX8TK/j0UnyxuZ3xI1JLk1yiNfw0iS5OMmOJDfO2DfrNZuBC5t/+76e5Mnjq7y/DGctSLI/cBFwKnAicHaSE8dbVe/dB/xOVf0S8AzgtU2bng98vqqOAz7fbGtp3gDcNGP7j4ALmjb+B+DcsVQ1Od4L/K+q+mfAExi0tdfxCCQ5Cvi3wPqqOgnYH3gpXsNLdQlwyl775rpmTwWOa742AR9YphoniuGsHU8Dbqmq71TVPcAW4Mwx19RrVfWjqrqheb2LwT9oRzFo1480h30EeMF4KpwMSY4GTgM+1GwHeC5wWXOIbbwESR4G/CrwYYCquqeq/hGv41E6AHhIkgOAhwI/wmt4SarqS8Df77V7rmv2TOCjNfBl4PAkj16eSieH4awdRwE/mLG9vdmnEUiyFngS8BVgTVX9CAYBDjhyfJVNhP8CvAm4v9l+JPCPVXVfs+21vDSPB+4A/rQZOv5QkkPxOh6Jqvoh8MfA9xmEsp3A9XgNt2Gua9Z//0bAcNaOzLLPZ5aMQJJVwF8A/66q7hx3PZMkyfOBHVV1/czdsxzqtbzvDgCeDHygqp4E3IVDmCPTzHs6E1gHPAY4lMEw2968htvj74wRMJy1YztwzIzto4HbxlTLxEhyIINg9mdV9Ylm94+nu8yb7zvGVd8EeBZwRpLvMhiKfy6DnrTDmyEi8Fpequ3A9qr6SrN9GYOw5nU8Gr8O3FpVd1TVvcAngF/Ba7gNc12z/vs3AoazdlwLHNfcIXQQgwmpl4+5pl5r5j59GLipqt4z40eXA69oXr8C+Mvlrm1SVNWbq+roqlrL4Jr931X1r4EvAC9qDrONl6Cqbgd+kOSEZtevAd/C63hUvg88I8lDm98Z0+3rNTx6c12zlwP/prlr8xnAzunhTw3PFQJakuRfMuh12B+4uKr+YMwl9VqSZwNXA9/ggflQb2Ew7+xjwGMZ/GL+rarae+KqFinJBuA/VNXzkzyeQU/aI4CvAi+rqj3jrK/PkjyRwQ0XBwHfAc5h8D/KXscjkOT3gZcwuMP7q8CrGMx58hreR0kuBTYARwA/Bt4OfJJZrtkmFL+Pwd2dPwHOqarrxlF3nxnOJEmSOsRhTUmSpA4xnEmSJHWI4UySJKlDDGeSJEkdYjiTJEnqEMOZpN5I8rMkX0tyY5KPJ3los/+v9/F8a5PcOIK6RnIeSQLDmaR++WlVPbGqTgLuAV4DUFW/Mt6yJGl0DGeS+upq4FiAJLub7y9M8rnm6eSPTrItyT9Jsn+SdyW5NsnXk7x6vhMn+fPmQdLT25ck+c2mh+zqJDc0X78QCpO8Msn7Zmxf2TzUlyS/keSa5r0fb9aKlaQHMZxJ6p1mncRTGawY8XNV9T+B24HXAv8NeHuzZNK5DJaReSrwVOC8JOvm+YgtDJ4yT7ME268BVzFYP/Dkqnpy8/MLF1HzEcBbgV9v3n8d8O+Hfb+kleOAhQ+RpM54SJKvNa+vZrDe6t5eD9wIfLmqLm32/Qbwz5NMr6+4GjgO2DbH53wauDDJwQyWoflSVf00yWrgfc0STD8Djl9E7c8ATgT+arDCDQcB1yzi/ZJWCMOZpD75aVU9cYFjjmKw/uqaJPtV1f1AgNdX1WdmHphk7WwnqKq7k0wBz2PQQzYd8t7IYG3BJzAYebh7lrffx4NHJQ6Z/jhga1WdvUD9klY4hzUlTYxmuPNPgX8F3MQDw4afAX47yYHNcccnOXSB021hsCj5v2jeD4Metx81ge/lwP6zvO+7wBOT7JfkGOBpzf4vA89KMj1P7qFJFtPzJmmFsOdM0iR5C3B1VV3dDH9em+RTwIeAtcANGYwp3gG8YIFzfRb4KHB5Vd3T7Hs/8BdJfgv4AnDXLO/7K+BWBvPhbgRuAKiqO5K8Eri0GS6FwRy0uYZWJa1Qqapx1yBJkqSGw5qSJEkdYjiTJEnqEMOZJElShxjOJEmSOsRwJkmS1CGGM0mSpA4xnEmSJHXI/wd3f05dEi5gqAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 5))\n", "\n", "# IMPORTANT NOTE: flattening the data to one dimension vastly reduces the \n", "# time it takes to histogram the data. \n", "\n", "h, bins, patches = hist(data.flatten(), bins='freedman', log=True,\n", " alpha=0.5, label='Pixel values')\n", "plt.xlabel('Pixel value')\n", "plt.ylabel('Number of pixels')\n", "# The semi-colon supresses a display of the grid object representation\n", "plt.grid();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Estimating the background value\n", "\n", "The plot below shows the result of several ways of estimating the background from the data. " ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 5))\n", "hist(data.flatten(), bins='freedman', log=True,\n", " alpha=0.5, label='Pixel values')\n", "plt.xlim(4, 7)\n", "\n", "true_mean = 5\n", "avg_all_pixels = data.mean()\n", "median_all_pixels = np.median(data)\n", "plt.axvline(true_mean, label='True mean of background', color='green')\n", "plt.axvline(avg_all_pixels, label='Mean of all values', color='red')\n", "plt.axvline(median_all_pixels, label='Median of all values', color='cyan')\n", "\n", "# Try sigma clipping\n", "clipped_mean, clipped_med, clipped_std = sigma_clipped_stats(data, sigma=3)\n", "\n", "# Add line to chart\n", "plt.axvline(clipped_med, label='Sigma-clipped median', color='yellow')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "None of the estimates above do a particularly good job of estimating the true background level. They also do not do a great job of estimating the error or noise in that background; the input value was 2, but the value produced by sigma clipping is larger:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.094275212132969" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "std" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Best approach for single value\n", "\n", "The best approach to deriving a single value to use for background is to first mask the sources; photutils provides a convenience function for that. Once that mask is applied, the true mean and noise level are recovered with reasonable accuracy." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5.001013475475569 5.000584905604376 1.970887100626572\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "source_mask = make_source_mask(data, snr=2, npixels=5)\n", "mask_clip_mean, mask_clip_med, mask_clip_std = sigma_clipped_stats(data, sigma=3, mask=source_mask)\n", "\n", "plt.figure(figsize=(10, 5))\n", "hist(data.flatten(), bins='freedman', log=True,\n", " alpha=0.5, label='Pixel values')\n", "plt.xlim(4, 7)\n", "\n", "plt.axvline(true_mean, label='True mean of background', color='green')\n", "plt.axvline(avg_all_pixels, label='Mean of all values', color='red')\n", "plt.axvline(median_all_pixels, label='Median of all values', color='cyan')\n", "plt.axvline(clipped_med, label='Sigma-clipped median', color='yellow')\n", "plt.axvline(mask_clip_med, label='Sigma-clipped, sources masked', \n", " color='violet', linestyle='dashed')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Two dimensional background \n", "\n", "If the background is not uniform (as happens, for example, on a night with moonlight) then using a single value to represent that background will not be effective. Instead, one constructs a background array; it is constructed by breaking the image into pieces, calcuating a scalar background estimate as above, and building those back into a two-dimensional image. \n", "\n", "To do this with photutils requires making a few choices:\n", "\n", "+ *What should the mesh size be?* This is the size, in pixels, of the chunks into which the image will be split for generating the background. It should be larger than the sources in the image, but small enough to represent variation in background across the image.\n", "+ *How should the background in each mesh cell be calculated?* The full suite of options is listed in the [photutils documentation for 2D backgrounds](https://photutils.readthedocs.io/en/stable/background.html#d-background-and-noise-estimation). The example below uses the mean because the sources will be masked as in the scalar case. Other options include the median and `SExtractorBackground` for using the background method used by SExtractor.\n", "+ *Do you want to also estimate the noise in the background, i.e. the RMS of the background?* Again, several options are available.\n", "+ *How do you want the background image interpolated when it is scaled back up to the size of the input image?* By default spline interpolation is used, but it can be changed.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Add some background to the input image\n", "\n", "As with the rest of the examples in this notebook, we closely follow the example from the photutils documentation." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ny, nx = data.shape\n", "y, x = np.mgrid[:ny, :nx]\n", "\n", "gradient = x / 50.\n", "gradient_median = np.median(gradient)\n", "data2 = data + gradient\n", "plt.imshow(data2, norm=norm, origin='lower', cmap='Greys_r') " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Choose your options\n", "\n", "For most of the choices in the list above, one creates an instance of the *class* corresponing to the choice." ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [], "source": [ "# Choose sigma clip parameters\n", "\n", "# Parameters below match those used in sigma_clipped_stats above. The \n", "# default in photutils is sigma=3, iters=10; this default is used unless\n", "# you override it as shown below.\n", "sigma_clip = SigmaClip(sigma=3., iters=5)\n", "\n", "# Choose your background calculation method\n", "bg_estimator = MeanBackground()\n", "\n", "# Choose your mesh size...ideally, an integer number of these fits across\n", "# the image. Here we use a size such that 10 meshes fit across the image\n", "# in each directory.\n", "mesh_size = (ny // 10, nx // 10)\n", "\n", "# Choose an estimator for the noise in the background (i.e. RMS). The \n", "# default is to use standard deviation using StdBackgroundRMS. This\n", "# example uses the median absolute deviation for the purposes of \n", "# illustration.\n", "bg_rms_estimator = MADStdBackgroundRMS()\n", "\n", "# We could, in principle, specify an interpolator for going from the small\n", "# mesh to the full size image. By not specifying that we get the default,\n", "# which is a spline interpolation; photutils calls this BgZoom\n", "\n", "# Finally, construct the background. Each of the choices above are fed into \n", "# the initialization of the background object. \n", "bgd = Background2D(data2, mesh_size, \n", " sigma_clip=sigma_clip,\n", " bkg_estimator=bg_estimator,\n", " bkgrms_estimator=bg_rms_estimator,\n", " )\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Display the background \n", "\n", "Though this is not required, we may as well check to see whether the inferred background matches the gradient in the x-direction that we added to the image." ] }, { "cell_type": "code", "execution_count": 97, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 97, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(bgd.background, norm=norm, origin='lower', cmap='Greys_r')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Check: compare background-subtracted data to expected values\n", "\n", "If the background has been properly substracted, then the median of the subtracted image should be zero (if we mask out the sources) and the rms should be around 2, the value that was used to generate the Gaussian noise in `make_100gaussians_image`." ] }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.025264474935314037 -0.01872212789955663 2.1259375730818832\n" ] } ], "source": [ "back_sub_data = data2 - bgd.background\n", "\n", "sub_mean, sub_med, sub_std = sigma_clipped_stats(back_sub_data, \n", " sigma=3)\n", "\n", "print(sub_mean, sub_med, sub_std)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }