{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Image Fitting in Sherpa: Accounting for the PSF effect" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Images can be easily fit in Sherpa. In the following example we show how to include the PSF in the modeling of the central source. The X-ray Chandra image data are modeled with the gaussian shape that accounts for the point source emission (quasar in this case) and a constant for the background. We ignore the region of the image with the additional structure in the vicinity of a point source. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from sherpa.astro.ui import *\n", "from IPython.core.display import Image\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After importing Sherpa package we define the statistics and an optimization method. X-ray counts are modeled using\n", "a Poisson likelihood defined via Cash (1979) and we will use Monte Carlo (differential evolution algorithm) implemented in Sherpa." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "set_stat(\"cash\")\n", "set_method('moncar')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first load the X-ray fits image first and then the PSF image which matches the binning of the X-ray image." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "load_image(\"image.fits\")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "psfmodel.mypsf\n", " Param Type Value Min Max Units\n", " ----- ---- ----- --- --- -----\n", " mypsf.kernel frozen psf.fits\n", " mypsf.size frozen (33, 33) (33, 33) (33, 33)\n", " mypsf.center frozen (16, 16) (16, 16) (16, 16)\n", " mypsf.radial frozen 0 0 1 \n", " mypsf.norm frozen 1 0 1 \n" ] } ], "source": [ "load_psf(\"mypsf\", \"psf.fits\")\n", "set_psf(mypsf)\n", "print(get_psf())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "PSF image is defined as 'mypsf' and the source model will be convolved with this psf image during the fit. The center of the PSF image needs to be redefined to the central location on the pixel." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "mypsf.center = (17.0,17.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gaussian model (gauss2d) and a constant (const2d) are set to model the image. Note that these two models are named\n", "q1 and c0 in this Sherpa session." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "set_model(gauss2d.q1+const2d.c0)\n", "guess(q1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We display the data with ds9 (the ds9 window will appear outside the browser) and set the filter to ignore the extension around the point source." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "image_data()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('ds9_data.png')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "set_coord(\"physical\")\n", "ignore2d(\"ignore.reg\")\n", "set_coord(\"logical\")\n", "image_data()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('ds9_data_filter.png')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dataset = 1\n", "Method = moncar\n", "Statistic = cash\n", "Initial fit statistic = -24457.7\n", "Final fit statistic = -36126 at function evaluation 6356\n", "Data points = 4033\n", "Degrees of freedom = 4028\n", "Change in statistic = 11668.3\n", " q1.fwhm 1.5257 \n", " q1.xpos 30.7363 \n", " q1.ypos 32.6549 \n", " q1.ampl 1911.78 \n", " c0.c0 0.0241046 \n" ] } ], "source": [ "fit()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "notice2d()\n", "image_fit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using notice2d we delete the filter and display the results from the fit in three ds9 panels: data, model and the residuals map. The residuals show the remaining structures not defined in our model." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('ds9_fit.png')" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
<ConvolutionModel model instance 'psfmodel.mypsf((gauss2d.q1 + const2d.c0))'>
" ], "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "get_model()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next step in the analysis we will calculate the uncertainties on the best fit model parameters using \"get_draws\" sampling function. \"get_draws\" is an implementation of Bayesian MCMC sampler in Sherpa. We assume the Metropolis-Hastings conditions and start at the best fit parameter values. We need to addjust the min/max ranges and use the flat priors for all the parameters within the valid min/max range. Only thaw parameters will have the sampling arrays." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dataset = 1\n", "Confidence Method = covariance\n", "Iterative Fit Method = None\n", "Fitting Method = moncar\n", "Statistic = cash\n", "covariance 1-sigma (68.2689%) bounds:\n", " Param Best-Fit Lower Bound Upper Bound\n", " ----- -------- ----------- -----------\n", " q1.fwhm 1.5257 -0.0392672 0.0392672\n", " q1.xpos 30.7363 -0.0200834 0.0200834\n", " q1.ypos 32.6549 -0.0204192 0.0204192\n", " q1.ampl 1911.78 -99.9908 99.9908\n", " c0.c0 0.0241046 -0.00273333 0.00273333\n" ] } ], "source": [ "set_par(q1.fwhm,min=0.1, max = 5)\n", "set_par(q1.ampl, min=1.0, max=100000)\n", "set_par(c0.c0,min=1e-4,max=1)\n", "covar()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "set_sampler_opt('scale',0.1)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using Priors:\n", "q1.fwhm: \n", "q1.xpos: \n", "q1.ypos: \n", "q1.ampl: \n", "c0.c0: \n" ] } ], "source": [ "stats, accept, params = get_draws(niter=10000)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4118\n" ] }, { "data": { "text/plain": [ "41.18" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(np.sum(accept))\n", "numiter = 10000\n", "100.0*np.sum(accept)/float(numiter)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ok = accept == True\n", "plot_scatter(params[1][ok],params[2][ok])" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_pdf(params[1][ok])" ] }, { "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": "3.8.2" } }, "nbformat": 4, "nbformat_minor": 1 }