EPSFBuilder odd oversampling.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from astropy.table import Table\n",
    "from astropy.visualization import simple_norm\n",
    "from photutils.datasets import make_gaussian_prf_sources_image\n",
    "from photutils import extract_stars, EPSFStar, EPSFStars\n",
    "from photutils import IntegratedGaussianPRF, EPSFModel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-4.00000000e-01, -4.00000000e-01],\n",
       "       [-4.00000000e-01, -2.00000000e-01],\n",
       "       [-4.00000000e-01,  2.77555756e-17],\n",
       "       [-4.00000000e-01,  2.00000000e-01],\n",
       "       [-4.00000000e-01,  4.00000000e-01],\n",
       "       [-2.00000000e-01, -4.00000000e-01],\n",
       "       [-2.00000000e-01, -2.00000000e-01],\n",
       "       [-2.00000000e-01,  2.77555756e-17],\n",
       "       [-2.00000000e-01,  2.00000000e-01],\n",
       "       [-2.00000000e-01,  4.00000000e-01],\n",
       "       [ 2.77555756e-17, -4.00000000e-01],\n",
       "       [ 2.77555756e-17, -2.00000000e-01],\n",
       "       [ 2.77555756e-17,  2.77555756e-17],\n",
       "       [ 2.77555756e-17,  2.00000000e-01],\n",
       "       [ 2.77555756e-17,  4.00000000e-01],\n",
       "       [ 2.00000000e-01, -4.00000000e-01],\n",
       "       [ 2.00000000e-01, -2.00000000e-01],\n",
       "       [ 2.00000000e-01,  2.77555756e-17],\n",
       "       [ 2.00000000e-01,  2.00000000e-01],\n",
       "       [ 2.00000000e-01,  4.00000000e-01],\n",
       "       [ 4.00000000e-01, -4.00000000e-01],\n",
       "       [ 4.00000000e-01, -2.00000000e-01],\n",
       "       [ 4.00000000e-01,  2.77555756e-17],\n",
       "       [ 4.00000000e-01,  2.00000000e-01],\n",
       "       [ 4.00000000e-01,  4.00000000e-01]])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import itertools\n",
    "oversamp = 5\n",
    "offsets = np.arange(oversamp) * 1./oversamp - 0.5 + 1./(2. * oversamp)\n",
    "xydithers = np.array(list(itertools.product(offsets, offsets)))\n",
    "xdithers = np.transpose(xydithers)[0]\n",
    "ydithers = np.transpose(xydithers)[1]\n",
    "xydithers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<i>Table length=25</i>\n",
       "<table id=\"table5255782064\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>amplitude</th><th>x_0</th><th>y_0</th><th>sigma</th></tr></thead>\n",
       "<thead><tr><th>float64</th><th>float64</th><th>float64</th><th>float64</th></tr></thead>\n",
       "<tr><td>100.0</td><td>99.6</td><td>99.6</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>199.6</td><td>99.8</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>299.6</td><td>100.0</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>399.6</td><td>100.2</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>499.6</td><td>100.4</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>99.8</td><td>199.6</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>199.8</td><td>199.8</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>299.8</td><td>200.0</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>399.8</td><td>200.2</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>499.8</td><td>200.4</td><td>3.0</td></tr>\n",
       "<tr><td>...</td><td>...</td><td>...</td><td>...</td></tr>\n",
       "<tr><td>100.0</td><td>100.2</td><td>399.6</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>200.2</td><td>399.8</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>300.2</td><td>400.0</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>400.2</td><td>400.2</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>500.2</td><td>400.4</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>100.4</td><td>499.6</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>200.4</td><td>499.8</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>300.4</td><td>500.0</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>400.4</td><td>500.2</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>500.4</td><td>500.4</td><td>3.0</td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<Table length=25>\n",
       "amplitude   x_0     y_0    sigma \n",
       " float64  float64 float64 float64\n",
       "--------- ------- ------- -------\n",
       "    100.0    99.6    99.6     3.0\n",
       "    100.0   199.6    99.8     3.0\n",
       "    100.0   299.6   100.0     3.0\n",
       "    100.0   399.6   100.2     3.0\n",
       "    100.0   499.6   100.4     3.0\n",
       "    100.0    99.8   199.6     3.0\n",
       "    100.0   199.8   199.8     3.0\n",
       "    100.0   299.8   200.0     3.0\n",
       "    100.0   399.8   200.2     3.0\n",
       "    100.0   499.8   200.4     3.0\n",
       "      ...     ...     ...     ...\n",
       "    100.0   100.2   399.6     3.0\n",
       "    100.0   200.2   399.8     3.0\n",
       "    100.0   300.2   400.0     3.0\n",
       "    100.0   400.2   400.2     3.0\n",
       "    100.0   500.2   400.4     3.0\n",
       "    100.0   100.4   499.6     3.0\n",
       "    100.0   200.4   499.8     3.0\n",
       "    100.0   300.4   500.0     3.0\n",
       "    100.0   400.4   500.2     3.0\n",
       "    100.0   500.4   500.4     3.0"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nstars = oversamp**2\n",
    "sigma = 3.0\n",
    "sources = Table()\n",
    "size = oversamp * 100 + 100\n",
    "y, x = np.mgrid[0:oversamp, 0:oversamp] * 100. + 100.\n",
    "sources['amplitude'] = np.full((nstars,), 100.0)\n",
    "sources['x_0'] = x.ravel() + xdithers\n",
    "sources['y_0'] = y.ravel() + ydithers\n",
    "sources['sigma'] = np.full((nstars,), sigma)\n",
    "sources"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = make_gaussian_prf_sources_image((size, size), sources)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1394be2e0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 15))\n",
    "norm = simple_norm(data, 'sqrt', percent=99.)\n",
    "plt.imshow(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from astropy.nddata import NDData\n",
    "nddata = NDData(data=data)\n",
    "\n",
    "from astropy.table import Table\n",
    "stars_tbl = Table()\n",
    "stars_tbl['x'] = sources['x_0']\n",
    "stars_tbl['y'] = sources['y_0']\n",
    "\n",
    "from photutils.psf import extract_stars\n",
    "stars = extract_stars(nddata, stars_tbl, size=25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 25 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from astropy.visualization import simple_norm\n",
    "nrows = oversamp\n",
    "ncols = oversamp\n",
    "fig, ax = plt.subplots(nrows=nrows, ncols=ncols, figsize=(15, 15),\n",
    "                       squeeze=True)\n",
    "ax = ax.ravel()\n",
    "for i in range(nrows*ncols):\n",
    "    norm = simple_norm(stars[i], 'log', percent=99.)\n",
    "    ax[i].imshow(stars[i], norm=norm, origin='lower', cmap='viridis')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from photutils import EPSFBuilder\n",
    "epsf_builder = EPSFBuilder(oversampling=oversamp, maxiters=10,\n",
    "                           progress_bar=False)\n",
    "epsf, fitted_stars = epsf_builder(stars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x13c26e310>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from astropy.visualization import simple_norm\n",
    "norm = simple_norm(epsf.data, 'log', percent=99.)\n",
    "plt.imshow(epsf.data, norm=norm, origin='lower', cmap='viridis')\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((127, 127), 30.848537499524046)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "epsf.data.shape, epsf.data.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x13c2eb7f0>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# input PSF shape\n",
    "size = epsf.data.shape[0]\n",
    "cen = (size - 1) / 2\n",
    "sigma2 = oversamp * sigma\n",
    "m = IntegratedGaussianPRF(sigma2, x_0=cen, y_0=cen, flux=1)\n",
    "yy, xx = np.mgrid[0:size, 0:size]\n",
    "data2 = m(xx, yy)\n",
    "plt.imshow(data2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x13c341cd0>]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "hsize = (size - 1) // 2\n",
    "plt.plot(data2[hsize, :], color='red')\n",
    "plt.plot(epsf.data[hsize, :] / np.sum(epsf.data))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x13c3cda30>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(epsf.data/np.sum(epsf.data) - data2)\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from photutils import CircularAperture, aperture_photometry\n",
    "from photutils import EPSFFitter\n",
    "fitter = EPSFFitter()\n",
    "stars2 = fitter(epsf, stars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<i>QTable length=25</i>\n",
       "<table id=\"table5305078112\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>id</th><th>xcenter</th><th>ycenter</th><th>aperture_sum</th></tr></thead>\n",
       "<thead><tr><th></th><th>pix</th><th>pix</th><th></th></tr></thead>\n",
       "<thead><tr><th>int64</th><th>float64</th><th>float64</th><th>float64</th></tr></thead>\n",
       "<tr><td>1</td><td>99.60022797735851</td><td>99.6002279773644</td><td>4566.374954963452</td></tr>\n",
       "<tr><td>2</td><td>199.60017946531218</td><td>99.80016279379905</td><td>4567.777903513081</td></tr>\n",
       "<tr><td>3</td><td>299.6001301107681</td><td>100.000097686812</td><td>4569.7751851196235</td></tr>\n",
       "<tr><td>4</td><td>399.60008073058253</td><td>100.20003270616031</td><td>4567.775455913077</td></tr>\n",
       "<tr><td>5</td><td>499.60003258897655</td><td>100.39996713479032</td><td>4566.373295936313</td></tr>\n",
       "<tr><td>6</td><td>99.80016279380361</td><td>199.6001794653299</td><td>4567.7779035132035</td></tr>\n",
       "<tr><td>7</td><td>199.8001144784765</td><td>199.80011447848267</td><td>4569.259128551916</td></tr>\n",
       "<tr><td>8</td><td>299.8000650460554</td><td>200.000049279242</td><td>4571.421105344427</td></tr>\n",
       "<tr><td>9</td><td>399.8000156157213</td><td>200.19998423873542</td><td>4569.256859732237</td></tr>\n",
       "<tr><td>...</td><td>...</td><td>...</td><td>...</td></tr>\n",
       "<tr><td>16</td><td>100.20003270615081</td><td>399.6000807305863</td><td>4567.775455913191</td></tr>\n",
       "<tr><td>17</td><td>200.19998423871994</td><td>399.8000156157171</td><td>4569.256859732366</td></tr>\n",
       "<tr><td>18</td><td>300.1999352973476</td><td>399.9999508989278</td><td>4571.421101146561</td></tr>\n",
       "<tr><td>19</td><td>400.19988643003</td><td>400.19988643003626</td><td>4569.259107701088</td></tr>\n",
       "<tr><td>20</td><td>500.1998380131445</td><td>400.3998205227022</td><td>4567.777895193006</td></tr>\n",
       "<tr><td>21</td><td>100.39996713479611</td><td>499.60003258899576</td><td>4566.37329593637</td></tr>\n",
       "<tr><td>22</td><td>200.3999187131887</td><td>499.7999675587517</td><td>4567.775461019647</td></tr>\n",
       "<tr><td>23</td><td>300.39986956224686</td><td>499.99990263825765</td><td>4569.775186732066</td></tr>\n",
       "<tr><td>24</td><td>400.39982052271296</td><td>500.1998380131691</td><td>4567.777895192707</td></tr>\n",
       "<tr><td>25</td><td>500.39977204344285</td><td>500.39977204345007</td><td>4566.3749547872985</td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<QTable length=25>\n",
       "  id       xcenter            ycenter          aperture_sum   \n",
       "             pix                pix                           \n",
       "int64      float64            float64            float64      \n",
       "----- ------------------ ------------------ ------------------\n",
       "    1  99.60022797735851   99.6002279773644  4566.374954963452\n",
       "    2 199.60017946531218  99.80016279379905  4567.777903513081\n",
       "    3  299.6001301107681   100.000097686812 4569.7751851196235\n",
       "    4 399.60008073058253 100.20003270616031  4567.775455913077\n",
       "    5 499.60003258897655 100.39996713479032  4566.373295936313\n",
       "    6  99.80016279380361  199.6001794653299 4567.7779035132035\n",
       "    7  199.8001144784765 199.80011447848267  4569.259128551916\n",
       "    8  299.8000650460554   200.000049279242  4571.421105344427\n",
       "    9  399.8000156157213 200.19998423873542  4569.256859732237\n",
       "  ...                ...                ...                ...\n",
       "   16 100.20003270615081  399.6000807305863  4567.775455913191\n",
       "   17 200.19998423871994  399.8000156157171  4569.256859732366\n",
       "   18  300.1999352973476  399.9999508989278  4571.421101146561\n",
       "   19    400.19988643003 400.19988643003626  4569.259107701088\n",
       "   20  500.1998380131445  400.3998205227022  4567.777895193006\n",
       "   21 100.39996713479611 499.60003258899576   4566.37329593637\n",
       "   22  200.3999187131887  499.7999675587517  4567.775461019647\n",
       "   23 300.39986956224686 499.99990263825765  4569.775186732066\n",
       "   24 400.39982052271296  500.1998380131691  4567.777895192707\n",
       "   25 500.39977204344285 500.39977204345007 4566.3749547872985"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aper = CircularAperture(stars2.center, r=5.5)\n",
    "tbl = aperture_photometry(data, aper)\n",
    "tbl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<i>QTable length=25</i>\n",
       "<table id=\"table5306000624\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>id</th><th>xcenter</th><th>ycenter</th><th>aperture_sum</th></tr></thead>\n",
       "<thead><tr><th></th><th>pix</th><th>pix</th><th></th></tr></thead>\n",
       "<thead><tr><th>int64</th><th>float64</th><th>float64</th><th>float64</th></tr></thead>\n",
       "<tr><td>1</td><td>99.60022797735851</td><td>99.6002279773644</td><td>4566.374954963452</td></tr>\n",
       "<tr><td>2</td><td>199.60017946531218</td><td>99.80016279379905</td><td>4567.777903513081</td></tr>\n",
       "<tr><td>3</td><td>299.6001301107681</td><td>100.000097686812</td><td>4569.7751851196235</td></tr>\n",
       "<tr><td>4</td><td>399.60008073058253</td><td>100.20003270616031</td><td>4567.775455913077</td></tr>\n",
       "<tr><td>5</td><td>499.60003258897655</td><td>100.39996713479032</td><td>4566.373295936313</td></tr>\n",
       "<tr><td>6</td><td>99.80016279380361</td><td>199.6001794653299</td><td>4567.7779035132035</td></tr>\n",
       "<tr><td>7</td><td>199.8001144784765</td><td>199.80011447848267</td><td>4569.259128551916</td></tr>\n",
       "<tr><td>8</td><td>299.8000650460554</td><td>200.000049279242</td><td>4571.421105344427</td></tr>\n",
       "<tr><td>9</td><td>399.8000156157213</td><td>200.19998423873542</td><td>4569.256859732237</td></tr>\n",
       "<tr><td>...</td><td>...</td><td>...</td><td>...</td></tr>\n",
       "<tr><td>16</td><td>100.20003270615081</td><td>399.6000807305863</td><td>4567.775455913191</td></tr>\n",
       "<tr><td>17</td><td>200.19998423871994</td><td>399.8000156157171</td><td>4569.256859732366</td></tr>\n",
       "<tr><td>18</td><td>300.1999352973476</td><td>399.9999508989278</td><td>4571.421101146561</td></tr>\n",
       "<tr><td>19</td><td>400.19988643003</td><td>400.19988643003626</td><td>4569.259107701088</td></tr>\n",
       "<tr><td>20</td><td>500.1998380131445</td><td>400.3998205227022</td><td>4567.777895193006</td></tr>\n",
       "<tr><td>21</td><td>100.39996713479611</td><td>499.60003258899576</td><td>4566.37329593637</td></tr>\n",
       "<tr><td>22</td><td>200.3999187131887</td><td>499.7999675587517</td><td>4567.775461019647</td></tr>\n",
       "<tr><td>23</td><td>300.39986956224686</td><td>499.99990263825765</td><td>4569.775186732066</td></tr>\n",
       "<tr><td>24</td><td>400.39982052271296</td><td>500.1998380131691</td><td>4567.777895192707</td></tr>\n",
       "<tr><td>25</td><td>500.39977204344285</td><td>500.39977204345007</td><td>4566.3749547872985</td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<QTable length=25>\n",
       "  id       xcenter            ycenter          aperture_sum   \n",
       "             pix                pix                           \n",
       "int64      float64            float64            float64      \n",
       "----- ------------------ ------------------ ------------------\n",
       "    1  99.60022797735851   99.6002279773644  4566.374954963452\n",
       "    2 199.60017946531218  99.80016279379905  4567.777903513081\n",
       "    3  299.6001301107681   100.000097686812 4569.7751851196235\n",
       "    4 399.60008073058253 100.20003270616031  4567.775455913077\n",
       "    5 499.60003258897655 100.39996713479032  4566.373295936313\n",
       "    6  99.80016279380361  199.6001794653299 4567.7779035132035\n",
       "    7  199.8001144784765 199.80011447848267  4569.259128551916\n",
       "    8  299.8000650460554   200.000049279242  4571.421105344427\n",
       "    9  399.8000156157213 200.19998423873542  4569.256859732237\n",
       "  ...                ...                ...                ...\n",
       "   16 100.20003270615081  399.6000807305863  4567.775455913191\n",
       "   17 200.19998423871994  399.8000156157171  4569.256859732366\n",
       "   18  300.1999352973476  399.9999508989278  4571.421101146561\n",
       "   19    400.19988643003 400.19988643003626  4569.259107701088\n",
       "   20  500.1998380131445  400.3998205227022  4567.777895193006\n",
       "   21 100.39996713479611 499.60003258899576   4566.37329593637\n",
       "   22  200.3999187131887  499.7999675587517  4567.775461019647\n",
       "   23 300.39986956224686 499.99990263825765  4569.775186732066\n",
       "   24 400.39982052271296  500.1998380131691  4567.777895192707\n",
       "   25 500.39977204344285 500.39977204345007 4566.3749547872985"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aper = CircularAperture(stars2.center, r=5.5)\n",
    "tbl = aperture_photometry(data, aper)\n",
    "tbl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([4582.46261118, 4582.48034507, 4582.4861549 , 4582.48036421,\n",
       "       4582.46259532, 4582.48034507, 4582.49808165, 4582.50384168,\n",
       "       4582.49808812, 4582.48033565, 4582.4861549 , 4582.50384168,\n",
       "       4582.50962862, 4582.50385859, 4582.48610036, 4582.48036421,\n",
       "       4582.49808813, 4582.50385859, 4582.49802681, 4582.48034979,\n",
       "       4582.46259532, 4582.48033565, 4582.48610036, 4582.4803498 ,\n",
       "       4582.4626981 ])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stars2.flux"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x13c479ca0>]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(stars2.flux)\n",
    "plt.plot(tbl['aperture_sum'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "&lt;Column name=&apos;aperture_sum&apos; dtype=&apos;float64&apos; length=25&gt;\n",
       "<table>\n",
       "<tr><td>0.35230694745482616</td></tr>\n",
       "<tr><td>0.3218729514596466</td></tr>\n",
       "<tr><td>0.2781530659387163</td></tr>\n",
       "<tr><td>0.3219271271170664</td></tr>\n",
       "<tr><td>0.3523430594977907</td></tr>\n",
       "<tr><td>0.32187295146083267</td></tr>\n",
       "<tr><td>0.2897395994338294</td></tr>\n",
       "<tr><td>0.24243525328869808</td></tr>\n",
       "<tr><td>0.2897895389642667</td></tr>\n",
       "<tr><td>0.3219263897770621</td></tr>\n",
       "<tr><td>0.2781530659188306</td></tr>\n",
       "<tr><td>0.24243525327642215</td></tr>\n",
       "<tr><td>0.1941996225249782</td></tr>\n",
       "<tr><td>0.24243571515672097</td></tr>\n",
       "<tr><td>0.27815183706348756</td></tr>\n",
       "<tr><td>0.3219271271282285</td></tr>\n",
       "<tr><td>0.2897895390703702</td></tr>\n",
       "<tr><td>0.242435715139707</td></tr>\n",
       "<tr><td>0.2897388569684394</td></tr>\n",
       "<tr><td>0.32187323767977893</td></tr>\n",
       "<tr><td>0.3523430594973481</td></tr>\n",
       "<tr><td>0.3219263897604287</td></tr>\n",
       "<tr><td>0.27815183704802326</td></tr>\n",
       "<tr><td>0.32187323771546084</td></tr>\n",
       "<tr><td>0.3523088548525682</td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<Column name='aperture_sum' dtype='float64' length=25>\n",
       "0.35230694745482616\n",
       " 0.3218729514596466\n",
       " 0.2781530659387163\n",
       " 0.3219271271170664\n",
       " 0.3523430594977907\n",
       "0.32187295146083267\n",
       " 0.2897395994338294\n",
       "0.24243525328869808\n",
       " 0.2897895389642667\n",
       " 0.3219263897770621\n",
       " 0.2781530659188306\n",
       "0.24243525327642215\n",
       " 0.1941996225249782\n",
       "0.24243571515672097\n",
       "0.27815183706348756\n",
       " 0.3219271271282285\n",
       " 0.2897895390703702\n",
       "  0.242435715139707\n",
       " 0.2897388569684394\n",
       "0.32187323767977893\n",
       " 0.3523430594973481\n",
       " 0.3219263897604287\n",
       "0.27815183704802326\n",
       "0.32187323771546084\n",
       " 0.3523088548525682"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pdiff = np.abs(stars2.flux - tbl['aperture_sum']) / tbl['aperture_sum'] * 100.\n",
    "pdiff"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.2968044093277411"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean(pdiff)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 15))\n",
    "norm = simple_norm(data, 'sqrt', percent=99.)\n",
    "plt.imshow(data)\n",
    "aper.plot(color='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(75.0, 125.0)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "norm = simple_norm(data, 'sqrt', percent=99.)\n",
    "plt.imshow(data)\n",
    "aper.plot(color='red')\n",
    "plt.xlim(75, 125)\n",
    "plt.ylim(75, 125)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}