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@larrybradley
Created October 3, 2019 14:41
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{
"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([[-0.375, -0.375],\n",
" [-0.375, -0.125],\n",
" [-0.375, 0.125],\n",
" [-0.375, 0.375],\n",
" [-0.125, -0.375],\n",
" [-0.125, -0.125],\n",
" [-0.125, 0.125],\n",
" [-0.125, 0.375],\n",
" [ 0.125, -0.375],\n",
" [ 0.125, -0.125],\n",
" [ 0.125, 0.125],\n",
" [ 0.125, 0.375],\n",
" [ 0.375, -0.375],\n",
" [ 0.375, -0.125],\n",
" [ 0.375, 0.125],\n",
" [ 0.375, 0.375]])"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import itertools\n",
"offsets = np.arange(4) * 0.25 - 0.375\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=16</i>\n",
"<table id=\"table47723230480\" 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>99.625</td><td>99.625</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>199.625</td><td>99.875</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>299.625</td><td>100.125</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>399.625</td><td>100.375</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>99.875</td><td>199.625</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>199.875</td><td>199.875</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>299.875</td><td>200.125</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>399.875</td><td>200.375</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>100.125</td><td>299.625</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>200.125</td><td>299.875</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>300.125</td><td>300.125</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>400.125</td><td>300.375</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>100.375</td><td>399.625</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>200.375</td><td>399.875</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>300.375</td><td>400.125</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>400.375</td><td>400.375</td><td>3.0</td></tr>\n",
"</table>"
],
"text/plain": [
"<Table length=16>\n",
"amplitude x_0 y_0 sigma \n",
" float64 float64 float64 float64\n",
"--------- ------- ------- -------\n",
" 100.0 99.625 99.625 3.0\n",
" 100.0 199.625 99.875 3.0\n",
" 100.0 299.625 100.125 3.0\n",
" 100.0 399.625 100.375 3.0\n",
" 100.0 99.875 199.625 3.0\n",
" 100.0 199.875 199.875 3.0\n",
" 100.0 299.875 200.125 3.0\n",
" 100.0 399.875 200.375 3.0\n",
" 100.0 100.125 299.625 3.0\n",
" 100.0 200.125 299.875 3.0\n",
" 100.0 300.125 300.125 3.0\n",
" 100.0 400.125 300.375 3.0\n",
" 100.0 100.375 399.625 3.0\n",
" 100.0 200.375 399.875 3.0\n",
" 100.0 300.375 400.125 3.0\n",
" 100.0 400.375 400.375 3.0"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nstars = 16\n",
"sources = Table()\n",
"y, x = np.mgrid[0:4, 0:4] * 100. + 100.\n",
"sources['amplitude'] = np.full((16,), 100.0)\n",
"sources['x_0'] = x.ravel() + xdithers\n",
"sources['y_0'] = y.ravel() + ydithers\n",
"sources['sigma'] = np.full((16,), 3.0)\n",
"sources"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"data = make_gaussian_prf_sources_image((500, 500), sources)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0xb1da49990>"
]
},
"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 16 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"from astropy.visualization import simple_norm\n",
"nrows = 4\n",
"ncols = 4\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": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PROGRESS: iteration 10 (of max 10) [1.2 s/iter]\r"
]
}
],
"source": [
"from photutils import EPSFBuilder\n",
"epsf_builder = EPSFBuilder(oversampling=4, maxiters=10,\n",
" progress_bar=True)\n",
"epsf, fitted_stars = epsf_builder(stars)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0xb1f4efb50>"
]
},
"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": [
"19.272599773582513"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"epsf.data.sum()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0xb1f612710>"
]
},
"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": [
"# should be \"truth\" ePSF\n",
"m = IntegratedGaussianPRF(sigma=12., x_0=50., y_0=50., flux=1)\n",
"yy, xx = np.mgrid[0:101, 0:101]\n",
"data2 = m(xx, yy)\n",
"plt.imshow(data2)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0xb1f649ad0>]"
]
},
"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": [
"plt.plot(data2[50, :], color='red')\n",
"plt.plot(epsf.data[50, :])"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0xb1ecffe90>"
]
},
"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 - data2)\n",
"plt.colorbar()"
]
},
{
"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": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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