{ "cells": [ { "cell_type": "markdown", "id": "6ea37ae9", "metadata": {}, "source": [ "# Advanced PSF modeling\n", "\n", "Ideally we always have plenty of well separated bright, but not oversaturated, stars to use to construct a PSF model. These models are incredibly important for certain science objectives that rely on precise shape measurements and not just total light measures. Here we demonstrate some of the special capabilities AstroPhot has to handle challenging scenarios where a good PSF model is needed but there are only very faint stars, poorly placed stars, or even no stars to work with!" ] }, { "cell_type": "code", "execution_count": 1, "id": "0154cc65", "metadata": {}, "outputs": [], "source": [ "import astrophot as ap\n", "import numpy as np\n", "import torch\n", "from astropy.io import fits\n", "import matplotlib.pyplot as plt\n", "from time import time\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "id": "f47324ab-3778-416a-97f7-c81703bba3f1", "metadata": {}, "source": [ "## Making a PSF model\n", "\n", "Before we can optimize a PSF model, we need to make the model and get some starting parameters. If you already have a good guess at some starting parameters then you can just enter them yourself, however if you don't then AstroPhot provides another option; if you have an empirical PSF estimate (a stack of a few stars from the field), then you can have a PSF model initialize itself on the empirical PSF just like how other AstroPhot models can initialize themselves on target images. Let's see how that works!" ] }, { "cell_type": "code", "execution_count": 2, "id": "34a52258-02c9-4446-afb3-df8300330f4f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# First make a mock empirical PSF image\n", "np.random.seed(124)\n", "psf = ap.utils.initialize.gaussian_psf(2., 101, 0.5)\n", "psf += 1e-7\n", "psf += np.random.normal(scale = psf / 4)\n", "psf[psf < 0] = ap.utils.initialize.gaussian_psf(2., 101, 0.5)[psf < 0]\n", "\n", "psf_target = ap.image.PSF_Image(\n", " data=psf,\n", " pixelscale=0.5,\n", ")\n", "\n", "# To ensure the PSF has a normalized flux of 1, we call\n", "psf_target.normalize()\n", "\n", "fig, ax = plt.subplots()\n", "ap.plots.psf_image(fig, ax, psf_target)\n", "ax.set_title(\"mock empirical PSF\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "id": "43f9080a-22d1-4052-88c8-f2ec6a2627a8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Now we initialize on the image\n", "psf_model = ap.models.AstroPhot_Model(\n", " name = \"init psf\",\n", " model_type = \"moffat psf model\",\n", " target = psf_target,\n", ")\n", "\n", "psf_model.initialize()\n", "\n", "fig, ax = plt.subplots()\n", "ap.plots.psf_image(fig, ax, psf_model)\n", "ax.set_title(\"PSF model fit to mock empirical PSF\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "872d222f-d354-498c-bb4f-efb5a00ce0cb", "metadata": {}, "source": [ "That's pretty good! it doesn't need to be perfect, so this is already in the right ballpark, just based on the size of the main light concentration. For the examples below, we will just start with some simple given initial parameters, but for real analysis this is quite handy." ] }, { "cell_type": "markdown", "id": "1c70efb1", "metadata": {}, "source": [ "## PSF modeling without stars\n", "\n", "Can it be done? Let's see!" ] }, { "cell_type": "code", "execution_count": 4, "id": "2dc0f5c1", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Lets make some data that we need to fit\n", "\n", "true_psf = ap.utils.initialize.moffat_psf(\n", " 2., # n !!!!! Take note, we want to get n = 2. !!!!!! \n", " 3., # Rd !!!!! Take note, we want to get Rd = 3.!!!!!!\n", " 51, # pixels\n", " 1. # pixelscale\n", ")\n", "\n", "target = ap.image.Target_Image(\n", " data = torch.zeros(100,100), \n", " pixelscale = 1.,\n", " psf = true_psf,\n", ")\n", "\n", "true_model = ap.models.AstroPhot_Model(\n", " name = \"true model\",\n", " model_type = \"sersic galaxy model\",\n", " target = target,\n", " parameters = {\n", " \"center\": [50.,50.],\n", " \"q\": 0.4,\n", " \"PA\": np.pi/3,\n", " \"n\": 2,\n", " \"Re\": 25,\n", " \"Ie\": 1,\n", " },\n", " psf_mode = \"full\",\n", ")\n", "\n", "# use the true model to make some data\n", "sample = true_model()\n", "torch.manual_seed(61803398)\n", "target.data = sample.data + torch.normal(torch.zeros_like(sample.data), 0.1)\n", "target.variance = 0.01*torch.ones_like(sample.data)\n", "\n", "fig, ax = plt.subplots(1,2, figsize = (16,7))\n", "ap.plots.model_image(fig, ax[0], true_model)\n", "ap.plots.target_image(fig, ax[1], target)\n", "ax[0].set_title(\"true sersic+psf model\")\n", "ax[1].set_title(\"mock observed data\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "id": "a292e7be", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Chi^2/DoF: 66.40813954210755, L: 1.0\n", "Chi^2/DoF: 31.807673267257808, L: 0.3333333333333333\n", "Chi^2/DoF: 25.371868148829822, L: 0.1111111111111111\n", "Chi^2/DoF: 23.536846683022027, L: 0.012345679012345678\n", "Chi^2/DoF: 23.522809952008853, L: 1.693508780843029e-05\n", "Chi^2/DoF: 23.522745912573384, L: 5.645029269476763e-06\n", "Final Chi^2/DoF: 23.522745279428626, L: 5.645029269476763e-06. Converged: success\n", "success\n" ] } ], "source": [ "# Now we will try and fit the data using just a plain sersic\n", "\n", "# Here we set up a sersic model for the galaxy\n", "plain_galaxy_model = ap.models.AstroPhot_Model(\n", " name = \"galaxy model\",\n", " model_type = \"sersic galaxy model\",\n", " target = target,\n", ")\n", "\n", "# Let AstroPhot determine its own intial parameters, so it has to start with whatever it decides automatically, \n", "# just like a real fit.\n", "plain_galaxy_model.initialize()\n", "\n", "result = ap.fit.LM(plain_galaxy_model, verbose = 1).fit()\n", "print(result.message)" ] }, { "cell_type": "code", "execution_count": 6, "id": "8f91ba45", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The shape of the residuals here shows that there is still missing information; this is of course\n", "# from the missing PSF convolution to blur the model. In fact, the shape of those residuals is very\n", "# commonly seen in real observed data (ground based) when it is fit without accounting for PSF blurring.\n", "fig, ax = plt.subplots(1,2, figsize = (16,7))\n", "ap.plots.model_image(fig, ax[0], plain_galaxy_model)\n", "ap.plots.residual_image(fig, ax[1], plain_galaxy_model)\n", "ax[0].set_title(\"fitted sersic only model\")\n", "ax[1].set_title(\"residuals\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "id": "36897e9c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Chi^2/DoF: 1115.302684858344, L: 1.0\n", "Chi^2/DoF: 770.6161754844939, L: 0.3333333333333333\n", "Chi^2/DoF: 18.38798157962339, L: 0.1111111111111111\n", "Chi^2/DoF: 5.574257574641829, L: 0.037037037037037035\n", "Chi^2/DoF: 1.9165797920121488, L: 0.012345679012345678\n", "Chi^2/DoF: 1.2494113233360604, L: 0.004115226337448559\n", "Chi^2/DoF: 0.9991516375298524, L: 0.0013717421124828531\n", "Chi^2/DoF: 0.9929959054956735, L: 1.881676423158921e-06\n", "Chi^2/DoF: 0.9929955231494145, L: 6.27225474386307e-07\n", "Final Chi^2/DoF: 0.9929955231490599, L: 2.323057312541878e-08. Converged: success\n" ] } ], "source": [ "# Now we will try and fit the data with a sersic model and a \"live\" psf\n", "\n", "# Here we create a target psf model which will determine the specs of our live psf model\n", "psf_target = ap.image.PSF_Image(\n", " data = np.zeros((51,51)),\n", " pixelscale = target.pixelscale,\n", ")\n", "\n", "# Here we create a moffat model for the PSF. Note that this is just a regular AstroPhot model that we have chosen \n", "# to be a moffat, really any model can be used. To make it suitable as a PSF we will need to apply some very \n", "# specific settings. \n", "live_psf_model = ap.models.AstroPhot_Model(\n", " name = \"psf\",\n", " model_type = \"moffat psf model\",\n", " target = psf_target,\n", " parameters = {\n", " \"n\": 1., # True value is 2.\n", " \"Rd\": 2., # True value is 3.\n", " },\n", ")\n", "\n", "# Here we set up a sersic model for the galaxy\n", "live_galaxy_model = ap.models.AstroPhot_Model(\n", " name = \"galaxy model\",\n", " model_type = \"sersic galaxy model\",\n", " target = target,\n", " psf_mode = \"full\",\n", " psf = live_psf_model, # Here we bind the PSF model to the galaxy model, this will add the psf_model parameters to the galaxy_model\n", ")\n", "\n", "live_psf_model.initialize()\n", "live_galaxy_model.initialize()\n", "\n", "result = ap.fit.LM(live_galaxy_model, verbose = 1).fit()\n", "result.update_uncertainty()" ] }, { "cell_type": "code", "execution_count": 8, "id": "bafab5bb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fitted n for moffat PSF: 1.995246419826767 we were hoping to get 2!\n", "fitted Rd for moffat PSF: 2.972340397385543 we were hoping to get 3!\n", "galaxy model:\n", "center: [0.0, 0.0] +- [0.1, 0.1] [arcsec], locked\n", "n: 1.995246419826767 +- 0.012799404244268937 [none], limits: (0.1, 10.0)\n", "Rd: 2.972340397385543 +- 0.012574434548764288 [arcsec], limits: (0.0, None)\n", "I0: 0.0 [log10(flux/arcsec^2)], locked\n", "center: [50.002139693462674, 49.998723271753754] +- [0.0015637301450824137, 0.001167111468237485] [arcsec]\n", "q: 0.4006732240751394 +- 0.0007932093092872861 [b/a], limits: (0.0, 1.0)\n", "PA: 1.0468726647855944 +- 0.0001814039797940729 [radians], limits: (0.0, 3.141592653589793), cyclic\n", "n: 1.9926241231069444 +- 0.0058373483591286045 [none], limits: (0.36, 8.0)\n", "Re: 24.952783031471295 +- 0.020947532222143964 [arcsec], limits: (0.0, None)\n", "Ie: 1.0011860195123792 +- 0.0007932478943630854 [log10(flux/arcsec^2)]\n" ] } ], "source": [ "print(\"fitted n for moffat PSF: \", live_galaxy_model[\"psf:n\"].value.item(), \"we were hoping to get 2!\")\n", "print(\"fitted Rd for moffat PSF: \", live_galaxy_model[\"psf:Rd\"].value.item(), \"we were hoping to get 3!\")\n", "print(live_galaxy_model.parameters)" ] }, { "cell_type": "markdown", "id": "c8b2ad57", "metadata": {}, "source": [ "This is truly remarkable! With no stars available we were still able to extract an accurate PSF from the image! To be fair, this example is essentially perfect for this kind of fitting and we knew the true model types (sersic and moffat) from the start. Still, this is a powerful capability in certain scenarios. For many applications (e.g. weak lensing) it is essential to get the absolute best PSF model possible. Here we have shown that not only stars, but galaxies in the field can be useful tools for measuring the PSF!" ] }, { "cell_type": "code", "execution_count": 9, "id": "3a305b02", "metadata": {}, "outputs": [ { "data": { "image/png": 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mTmp8OajPZ1sizkG9QHX1hV1dPVf5rRfoqM6fg5p5Lse3rWvnqH6hS2xbv9BB4TbXmnB2c+i6b5s6co7qDrqO2eGnCXrfBVR30EGtRkePj91wHDyGTmpiOtpPAY2noGr4OTuWSx1PJ3X+8nssF47ulx3X55iT90xH+7V5n3BSAK9wNvj6+/J7UV1eV+MV0jonBWnfvn0SGvpnLS+7qwTzcvjwYcnOzpaIiAjj9oiICNmxY4fj/cTGxsrGjRslMzNTrrnmGvn888+lZcuWVzweXH3m+leQIP+g3Djqi5HG72+8RV/F+tkLnYz4kfGrVU5I3FNGfH7/GpUz+J9PGvE1aQtVTs0yZk2vC2cuqJw3qtU14h+XJqicT1Y3MuLr+ryjcs4nmV/hH1z7fpUzbdxdRtzgwmyV0/X3ACN+aPKnKics0KyplRPVSeWUr13RiIuv1LXUKrUzj7/jmH5fuP6dAUZ8U0ykypl0o/l+sHBhf5UTVNx8D7Orz9e5gznGuudfUzmudSuDA4JVTps7HzPiehVbq5zKZ9ON+O77OqmcT0ua9RS32tTZe3DXfiMe99RilZPwtvk6aFivospZPGeBER8OKaNyNh/ZbO7n+vIq557IOkZctuVolRPyWXt12+p083UYt0eXj2hRxlzsf/HbcpVzW/evjDiy02GVs+1r8/H5Iipa5Xy336zx+GwtXbftln3njHh11iGVU65KCyPev1S/LgODzMcj7dBpldOlnfk8a1pfP6fK1uhuxH0+1PUuE1q1NeIOy/XzpVVLM6dlk3iVs3B3ghFv6d1D5YQONfcTEa6fL5VLHjPiV2rrWp9nI68x4rgdSSrnaLJZy/J03bYqp/OBFUb8zJkSKmeRy3v2je/2VDmJXcz3/gcPHFc5/e4z78d3029SORNLmu+j0+/V9RRDdprv6+MOmK+Ts5ln1TZwL04KAgAAnxAaGmqcFPSm7777zttDAAAAgIjkWH/8uPsYhRFfHwYAAHCofPny4u/vLwcPmt06Dx48KJGR+mofAAAAoLDipCAAAPCai31G3P1TUAICAqRZs2aSmJiYe1tOTo4kJiby9V8AAIAiyMrxzE9hxNeHAQAALnHq1Cn55ZdfcuM9e/ZIcnKylC1bVqKiomTo0KESFxcn0dHR0rx5c3nttdckMzMztxsxAAAAUBRwUvAS1qVf8ra7htL1SgObZhJSzGVDu6sTXIvfO7le0/YqB9cmGQ4uhXDQP8Wy249rkoNGBKoRiji8WiMfDR9sm124NsSwbWriOiAHzUicNAixG7RrMxKb+XGdetuGD3bPFwefOuSrGYldUxVHzTbMG/1sjuWkWYx6Kuaz6Yx6LjrZjx0Hzzsnz19HjXLydSy7eXbw2s1rv3bHz2/DEgfH0jl5v3E4amriRFFoTpLPq95sX/OX/t5bhU4K+lK+yx3jCqxdu1Zuu+3PgtpDhw4VEZG4uDiZOXOmdOvWTX7//XcZNWqUpKenS+PGjeXrr79WzUeA/Oic/buEZP/ZQKLSwJXG7+dMvlFt07CuWSuzw8f3qpwTaSeNeOA9j6icFr+YTTLm1eyuch5wiT9v2kzl+PmbDTB2p55TOTWrmzkPvf6wynmoczcjPnXoR5XT4ZkEI47J0k0Ypm+YYcQD5w9VOUu6fWzEH8zQTUSuqVTSiEsFB6ic//vcLOLfJKq+yhl067VGHBSuc4JPnDLiESUOqpxrbzcfr5tmxKqcHXWbG/HcvroRS4dPHzTi96rofyKGuzReOfT9Qypn8ynzcX7/njkq579vmg05Xuw7Q+UsP33UiKPf7Kxy+rTrY8SxZXTTjJOnzCYHD9XtpnI2TzWbvnTrrRtQ7N34oREvKxaucird9pK67f2vnzPi+AC9yDieYTZVSNgxX+W89ZM5Rwt7zFU5abeMMeKdK19VOXPbjjLi1KQRKmeEX5YRj9+sGwB9/NU8I372wSdVTtOKTY240vbNKueLamZOQHiMyilxItXcT6T+O5t1fIsRf92hn8opVzPOiDN+W6Rykg+YYxw28xOVU7dEkBGPGaKfm4Pb1zTiz6reo3LeWD/JiO+rr3N6VbjeiFu+p+d5a91qRlw84IjKueDSLKZEoH59P/vzEiN+ok1llVOqotlYZG2zjirno+vNeR6w6AmVUynMfAyfv9nMOZlxUqaIblDibr5cU5CTggAAwCfExMSIv7+/xMfHS3y8/offRW3atMnzJOrAgQNl4MCBBT1EAAAAwGM4KQgAALzGkxcKJiUlFZruwwAAACgcfPlKQRqNAAAAAAAAAD6GKwUvkWc9JSe1pnJcirs5qXPlWmtORNexs9uN63jtjqXqidnVkcsjtrvNSc1FO67jsZvzfI3HQVFBu0tRXLazq0vm+rxwUr/Qdsyuc+ak+5CDuoMiNrXbikTdQZcwv/OqalnaPIaqwGT+xuPofuWxje2+83ssJ/UU8/N6snkxu602ocPt8tqR5eQNyJ31At2574L6VDGv/XirI1ohrCkIeFPmkQ3il/XnEv2WmXcZv/9y4HdqG//9C4x4RICuB/XbB08Z8Z1n96qc1DMXjPiBkHIqZ0GWWXPsxmNbVE7yFrP+3ZAJK1ROm0+6GvHGIWNUzh0LRxvxP2MCVc6IzWYNtu57dqic6/eate5q9+qlctI2/duIezz3k8r5faXZTKhGa12fb15qghHPPLZP5Yz8zayZt2VtospZFNvWiEMb6vpmrp5o/U91W9W1bxrxuezdKmd57y/N8ZxMVTlZx7ca8dHjZ1ROtZqNjNiuHt3mWmadtKjFuk5ancqRRvz4qVMq57b0/xlxeCNdI+7R/5p12wbt0HXK/tHOHE+v5IUq59jv2UY8M+gtldNrR6a6bWaft404YVeCyune3Kw7OHfFsypnZLF0Iy52fJvKubDoGSMeXtxf5ZwNqWXED++/oHK67DNfK52qL1M50zOOG/E9JfTf2BJZ5vM+uOvHKufpTc8bcVWXOoQiIp9OvtWIZw9bq3LSMtOM+MtJd6ucR8eYte6GbP1K5fRJTzHij7bpMQ8tVcKI29xYWuX0a28+7zp8pOsFflLPfN6Fl71J5WSfO2HEC2/XNRcDSpm1NO9K1DUpt4XcYMTLer2rcgatec2IDzUaqXIi9puvsQblG6icsMNm3deVX+r3tocH6PepwsAT3YELa/dhrhQEAAAAAAAAfAxXCgIAAK+xpOAuhvyrYwAAAAB2qCkIAAAAAAAAwGdwpSAAAPAeagoCAADAi3JydHsIdxyjMOKk4CUsy/rzO0Z2D1h+Cvbb5jhoEOJ6/IJq/uGkAYYdB30aXBsh2BXSzFfTAyc5Nv/gU00z7Hbk2uTFbi7yMR4nTTP8bI6lmkk4eR7aHd+uGYnr8Wyb19jc5rpZPpqR2E2I2o+TJji24zFj23/7F1QTkfw09shn4xPd9CZ/TXnU/XD0/LV9hV/xfhw1LLGjxuxgPHa7yU/zD3c2DPG2PBuNXP0nzmJiYsTf31/i4+MlPj7e28MBbO3ac0yCS/7ZJODfwQHG748vf1BtE9DKbOjQPriiykluWMGIt1dsq3KWnTf/abD4RV1s/lDXWCO+rdX7KqdN1DwjHr1ukspZ0s0s4v/S1g9UTqNvzIYl9575n8r5tF6EER+PClc5t97xgBHP+2yqyskebDZrufWNdipnQZs2Rjzn5/+qnCa73zPiDzaeUDlfPT7HiMu3L69ybhhuNu1YsH+1yumzy2z6MijrpMqpervZqGFrpY4qp+T2N4y4Uu3HVc7OpYOMuMk/Juj9VDSbJSxvUVfl3Hub2aghY4B+bqR8aDbF6TdsgcqZf3C9uc3U5iqnarVqRrzrmliVM33jciP+eZ1N45zJG414yW9LVE6nhS+o2+6dcJ8R/6Odfs3tWdbdiGskblc5WY3M58ec37eqnI63mk1wln+tm7w884PZxKRlnWiV0+8hM+eXeZ1UzsTKZYy4XM04lbP8wEpzfAMaq5zEV80mJjcOrqdy5t9W24jbf6qbiLRbvd+Ie47X7xOZh8wGGO+2n65ydp3YZcSpy0apnOU/6bl3lbA7wYib1miocipeb77GEg4mq5zVaWuMuH/mTpWzs0oXI362Y22Vc0uE+Tgf3aMbJE1q2NOI4358U+WMvMV8bizq31PlpI561Ig7x3VXOU/HDDfil9a+bMRnM8+qbeBenBQEAADe48GigklJSRIaGurmgwEAAKAo8eUvrlBTEAAAAAAAAPAxXCkIAAC8xrIs+zIEBXwMAAAAwI5lub/mX2FdjnJS8BLWpfWU7Oq9ucR2JdAc1fnLa8d/ZztXDupjWdkum9jUQHO9s5ZN7SnXOmS2dfWc1FN0UrfNQR05JzX8XA/vpA6io1pzTuo7Oql956TuoN3xnZSEc1J/zu5+5KPuoN2LRdfVs6k76GA8do9ZXvvJd71AJ/fLSSnA/NQCtOOkPF8+agrm+9gFVZtQ7dfBm53NsdRWBVUvMF/FCguBPFYidu/rADxv5Q2tJbBUYG68NT3F+P289l+qbb5N/daI0//XW+VUrBBu3pD0b5XzSMR1Rty61AWVs+WG+4047cd+KmdznSFGfMsWXS9wZ12zHtXny+arHKtZiBFv6P+1yvn19CEjrlishMq5fYpZd+vBY/r9bvORzUYcHhmictL2mHXJztfXNdCCQqKMePWjT6icIy5j3Hx4s8rp1818DEPO/qJyZlT7zYir3JGgclyfG8XnDFM5G8ODjPimG55UOfU7f2PEYx5tonK63GHWrfzX52+onOyFzxnxtdsnq5yoJpFGfOO7unbZiHvMuoOt7x2rckotHm/EIzcfUzkjrUwjrvxCosrp9H43Ix7U7p8q57aWZdRt84+a8bvt3lI5n01qasQNr9f7qVCpphHfX+t+lTNt8zQjfnLQOpXT7sJpI560XtdzPLbSrA94+OhplVOsi1kTbsbYRionpKdZj/TeXnrMGQv/z4i3v7pN5Qxb9rQRt/3qB5Wz+nazduVva15ROdc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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2, figsize = (16,7))\n", "ap.plots.model_image(fig, ax[0], live_galaxy_model)\n", "ap.plots.residual_image(fig, ax[1], live_galaxy_model)\n", "ax[0].set_title(\"fitted sersic + psf model\")\n", "ax[1].set_title(\"residuals\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c104911e", "metadata": {}, "source": [ "There are regions of parameter space that are degenerate and so even in this idealized scenario the PSF model can get stuck. If you rerun the notebook with different random number seeds for pytorch you may find some where the optimizer \"fails by immobility\" this is when it get's stuck in the parameter space and can't find any way to improve the likelihood. In fact most of these \"fail\" fits do return really good values for the PSF model, so keep in mind that the \"fail\" flag only means the possibility of a truly failed fit. Unfortunatly, detecting convergence is hard." ] }, { "cell_type": "markdown", "id": "804aa13f", "metadata": {}, "source": [ "## PSF fitting with a faint star\n", "\n", "Fitting a PSF to a galaxy is perhaps not the most stable way to get a good model. However, there is a very common situation where this kind of fitting is quite helpful. Consider the scenario that there is a star, but it is not very bright and it is right next to a galaxy. Now we need to model the galaxy and the star simultaneously, but the galaxy should be convolved with the PSF for the fit to be stable (otherwise you'll have to do several iterations to converge). If there were many stars you could perhaps just stack a bunch of them and hope the average is close enough, but in this case we don't have many to work with so we need to squeeze out as much statistical power as possible. " ] }, { "cell_type": "code", "execution_count": 10, "id": "d399588c", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Lets make some data that we need to fit\n", "\n", "true_psf2 = ap.utils.initialize.moffat_psf(\n", " 2., # n !!!!! Take note, we want to get n = 2. !!!!!! \n", " 3., # Rd !!!!! Take note, we want to get Rd = 3.!!!!!!\n", " 51, # pixels\n", " 1. # pixelscale\n", ")\n", "\n", "target2 = ap.image.Target_Image(\n", " data = torch.zeros(100,100), \n", " pixelscale = 1.,\n", " psf = true_psf,\n", ")\n", "\n", "true_galaxy2 = ap.models.AstroPhot_Model(\n", " name = \"true galaxy\",\n", " model_type = \"sersic galaxy model\",\n", " target = target2,\n", " parameters = {\n", " \"center\": [50.,50.],\n", " \"q\": 0.4,\n", " \"PA\": np.pi/3,\n", " \"n\": 2,\n", " \"Re\": 25,\n", " \"Ie\": 1,\n", " },\n", " psf_mode = \"full\",\n", ")\n", "true_star2 = ap.models.AstroPhot_Model(\n", " name = \"true star\",\n", " model_type = \"point model\",\n", " target = target2,\n", " parameters = {\n", " \"center\": [70,70],\n", " \"flux\": 2.,\n", " },\n", ")\n", "true_model2 = ap.models.AstroPhot_Model(\n", " name = \"true model\",\n", " model_type = \"group model\",\n", " target = target2,\n", " models = [true_galaxy2, true_star2],\n", ")\n", "\n", "# use the true model to make some data\n", "sample2 = true_model2()\n", "torch.manual_seed(1618033988)\n", "target2.data = sample2.data + torch.normal(torch.zeros_like(sample2.data), 0.1)\n", "target2.variance = 0.01 * torch.ones_like(sample2.data)\n", "\n", "fig, ax = plt.subplots(1,2, figsize = (16,7))\n", "ap.plots.model_image(fig, ax[0], true_model2)\n", "ap.plots.target_image(fig, ax[1], target2)\n", "ax[0].set_title(\"true model\")\n", "ax[1].set_title(\"mock observed data\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "id": "288947e2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Chi^2/DoF: 1116.2498824099835, L: 1.0\n", "Chi^2/DoF: 793.718437875768, L: 0.3333333333333333\n", "Chi^2/DoF: 14.515879653006385, L: 0.1111111111111111\n", "Chi^2/DoF: 6.287894183775265, L: 0.037037037037037035\n", "Chi^2/DoF: 2.013731912346296, L: 0.012345679012345678\n", "Chi^2/DoF: 1.2291545048429289, L: 0.004115226337448559\n", "Chi^2/DoF: 1.005507474787216, L: 0.0013717421124828531\n", "Chi^2/DoF: 1.0006501100242953, L: 1.881676423158921e-06\n", "Chi^2/DoF: 1.0006498195221003, L: 2.0907515812876902e-07\n", "Final Chi^2/DoF: 1.00064981946267, L: 2.323057312541878e-08. Converged: success\n" ] } ], "source": [ "# Now we will try and fit the data\n", "\n", "psf_model2 = ap.models.AstroPhot_Model(\n", " name = \"psf\",\n", " model_type = \"moffat psf model\",\n", " target = psf_target,\n", " parameters = {\n", " \"n\": 1., # True value is 2.\n", " \"Rd\": 2., # True value is 3.\n", " },\n", ")\n", "\n", "# Here we set up a sersic model for the galaxy\n", "galaxy_model2 = ap.models.AstroPhot_Model(\n", " name = \"galaxy model\",\n", " model_type = \"sersic galaxy model\",\n", " target = target,\n", " psf_mode = \"full\",\n", " psf = psf_model2,\n", ")\n", "\n", "# Let AstroPhot determine its own intial parameters, so it has to start with whatever it decides automatically, \n", "# just like a real fit.\n", "galaxy_model2.initialize()\n", "\n", "star_model2 = ap.models.AstroPhot_Model(\n", " name = \"star model\",\n", " model_type = \"point model\",\n", " target = target2,\n", " psf = psf_model2,\n", " parameters = {\n", " \"center\": [70,70], # start the star in roughly the right location\n", " \"flux\": 2.5,\n", " },\n", ")\n", "\n", "star_model2.initialize()\n", "\n", "full_model2 = ap.models.AstroPhot_Model(\n", " name = \"full model\",\n", " model_type = \"group model\",\n", " models = [galaxy_model2, star_model2],\n", " target = target2,\n", ")\n", "\n", "result = ap.fit.LM(full_model2, verbose = 1).fit()" ] }, { "cell_type": "code", "execution_count": 12, "id": "2d345561", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2, figsize = (16,7))\n", "ap.plots.model_image(fig, ax[0], full_model2)\n", "ap.plots.residual_image(fig, ax[1], full_model2)\n", "ax[0].set_title(\"fitted sersic+star model\")\n", "ax[1].set_title(\"residuals\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "id": "09cebba3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fitted n for moffat PSF: 1.9624007733141735 we were hoping to get 2!\n", "fitted Rd for moffat PSF: 2.9787398126512596 we were hoping to get 3!\n", "---Note that we can just as well look at the star model parameters since they are the same---\n", "fitted n for moffat PSF: 1.9624007733141735 we were hoping to get 2!\n", "fitted Rd for moffat PSF: 2.9787398126512596 we were hoping to get 3!\n" ] } ], "source": [ "print(\"fitted n for moffat PSF: \", galaxy_model2[\"psf:n\"].value.item(), \"we were hoping to get 2!\")\n", "print(\"fitted Rd for moffat PSF: \", galaxy_model2[\"psf:Rd\"].value.item(), \"we were hoping to get 3!\")\n", "\n", "print(\"---Note that we can just as well look at the star model parameters since they are the same---\")\n", "print(\"fitted n for moffat PSF: \", psf_model2[\"n\"].value.item(), \"we were hoping to get 2!\")\n", "print(\"fitted Rd for moffat PSF: \", psf_model2[\"Rd\"].value.item(), \"we were hoping to get 3!\")" ] }, { "cell_type": "markdown", "id": "c43221a8", "metadata": {}, "source": [ "Note that the fitted moffat parameters aren't much better than they were earlier when we just fit the galaxy alone. This shows us that extended objects have plenty of constraining power when it comes to PSF fitting, all this information has previously been left on the table! It makes sense that the galaxy dominates the PSF fit here, while the star is very simple to fit, it has much less light than the galaxy in this scenario so the S/N for the galaxy dominates. The reason this works really well is of course that the true data is in fact a sersic model, so we are working in a very idealized scenario. Real world galaxies are not necessarily well described by a sersic, so it is worthwhile to be cautious when doing this kind of fitting. Always make sure the results make sense before storming ahead with galaxy based PSF models, that said the payoff can be well worth it." ] }, { "cell_type": "markdown", "id": "c953b243", "metadata": {}, "source": [ "## PSF fitting for faint stars\n", "\n", "Sometimes there are stars available, but they are faint and it is hard to see how a reliable fit could be obtained. We have already seen how faint stars next to galaxies are still viable for PSF fitting. Now we will consider the case of isolated but faint stars. The trick here is that we have a second high resolution image, perhaps in a different band. To perform this fitting we will link up the two bands using joint modelling to constrain the star centers, this will constrain some of the parameters making it easier to fit a PSF model." ] }, { "cell_type": "code", "execution_count": 14, "id": "52ab1d74", "metadata": {}, "outputs": [], "source": [ "# Coming soon" ] }, { "cell_type": "markdown", "id": "b7e01871", "metadata": {}, "source": [ "## PSF fitting for saturated stars\n", "\n", "A saturated star is a bright star, and it's just begging to be used for modelling a PSF. There's just one catch, the highest signal to noise region is completely messed up and can't be used! Traditionally these stars are either ignored, or a two stage fit is performed to get an \"inner psf\" and an \"outer psf\" which are then merged. Why not fit the inner and outer PSFs all at once! This can be done with AstroPhot using parameter constraints and masking." ] }, { "cell_type": "code", "execution_count": 15, "id": "51360025", "metadata": {}, "outputs": [], "source": [ "# Coming soon" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.5" } }, "nbformat": 4, "nbformat_minor": 5 }