{ "cells": [ { "cell_type": "markdown", "id": "7f162711-6fe3-46a4-9699-18472854fad7", "metadata": {}, "source": [ "# SIP\n", "\n", "`lamatrix` provides a way to fit \"Simple Imaging Polynomials\" for astronomy data. SIP are a set of polynomials that describe distortions in positions for images. \n", "\n", "To show how to use this object we will set up some fake data consisting of point sources on a grid. The point sources should land at their \"true\" positions, but in fact land at a distorted position in our detector." ] }, { "cell_type": "code", "execution_count": 5, "id": "a7ec1a04-0fc7-492c-b170-9ab4b9c3b7da", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "np.random.seed(52)\n", "\n", "# True grid\n", "Y, X = np.mgrid[-20:20:200j, -20:20:201j]" ] }, { "cell_type": "code", "execution_count": 6, "id": "b4e16050-1c04-42ef-95d5-d349ee8e2c67", "metadata": {}, "outputs": [], "source": [ "# Distorted grid\n", "# Here we use a simple, 2D, 3rd order polynomial\n", "from lamatrix import Polynomial, Constant\n", "distortion_model = (Constant() + Polynomial('x', order=3)) * (Constant() + Polynomial('y', order=3))" ] }, { "cell_type": "code", "execution_count": 7, "id": "a74ac76a-e9b3-4949-85ed-12589b59a20a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "JointModel\n", "\tConstant()[n, 1]\n", "\tPolynomial(y)[n, 3]\n", "\tPolynomial(x)[n, 3]\n", "\tCrosstermModel(y, x)[n, 9]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "distortion_model" ] }, { "cell_type": "code", "execution_count": 8, "id": "aff4d2fb-b44c-4508-8ae4-5ae40896bd55", "metadata": {}, "outputs": [], "source": [ "w_x = np.random.normal(0, 0.1/distortion_model.design_matrix(x=np.asarray([20.]), y=np.asarray([20.]))[0])\n", "w_y = np.random.normal(0, 0.1/distortion_model.design_matrix(x=np.asarray([20.]), y=np.asarray([20.]))[0])\n", "A = distortion_model.design_matrix(x=X, y=Y)\n", "Xt = X + A.dot(w_x)\n", "Yt = Y + A.dot(w_y)\n", "\n", "from lamatrix import SIP" ] }, { "cell_type": "markdown", "id": "47fff6a7-111b-4083-9cac-44971879aa60", "metadata": {}, "source": [ "Below we show the true grid (`X` and `Y`) and the points that we would measure due to some distortions in our detector. " ] }, { "cell_type": "code", "execution_count": 9, "id": "db1b9ab7-6a87-4ef9-876f-ee76a5a548dd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[Text(0.5, 0, 'X'), Text(0, 0.5, 'Y'), None]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.scatter(X[::10, ::10], Y[::10, ::10], s=10, c='r', label='Undistorted Grid')\n", "ax.scatter(Xt[::10, ::10], Yt[::10, ::10], s=10, c='b', label='True Distortion')\n", "ax.legend()\n", "ax.set(xlabel=\"X\", ylabel=\"Y\", aspect='equal')" ] }, { "cell_type": "markdown", "id": "f681d1a0-9241-4534-8130-06a3a81f20e1", "metadata": {}, "source": [ "To be able to fit this grid we need data consisting of astronomical sources. We make a grid of synthetic PSFs below" ] }, { "cell_type": "code", "execution_count": 10, "id": "528f7132-c8b9-49de-af01-2d3d37836c74", "metadata": {}, "outputs": [], "source": [ "from lamatrix import Gaussian2D" ] }, { "cell_type": "code", "execution_count": 11, "id": "87d81067-dd10-4cf3-859a-bc646e0fbc52", "metadata": {}, "outputs": [], "source": [ "Cx, Cy = np.mgrid[-20:20:20j, -20:20:20j]\n", "data = np.sum([Gaussian2D(sigma_x=0.4, sigma_y=0.4).design_matrix(x=Xt - center_x, y=Yt - center_y).dot(amp)[:, :, 0] for center_x, center_y, amp in zip(Cx.ravel(), Cy.ravel(), np.ones(np.prod(Cx.shape)))], axis=0)\n", "data += np.random.normal(0, 0.01, data.shape)\n", "error = np.ones(data.shape) * 0.01" ] }, { "cell_type": "code", "execution_count": 12, "id": "1d3aa45f-7f2b-425b-a38d-fd6602bc5d35", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.pcolormesh(Y, X, data)\n", "ax.set(xlabel=\"X\", ylabel=\"Y\", aspect='equal', title='Synthetic Data');" ] }, { "cell_type": "markdown", "id": "e40c9e28-95af-4e57-8347-cc90d0c89844", "metadata": {}, "source": [ "Here you can see the gentle distortion in the position of the PSFs, relative to the evenly spaced input grid.\n", "\n", "To fit this we use a SIP model." ] }, { "cell_type": "code", "execution_count": 13, "id": "2476f150-aef9-46fe-b8fc-08ca3e063f2f", "metadata": {}, "outputs": [], "source": [ "sip = SIP(order=3)" ] }, { "cell_type": "code", "execution_count": 14, "id": "007d141b-4b60-4e75-85eb-fb31b132abcf", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "SIP(y, x, dy, dx)[n, 56]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sip" ] }, { "cell_type": "markdown", "id": "2ad1cb4b-9260-4830-94ae-2c710aff2637", "metadata": {}, "source": [ "The SIP model requires $x$ and $y$, the positions of the sources on the detector in $x$ and $y$ respectively, and $\\delta x$ and $\\delta y$, the positions of the sources on the detector in $x$ and $y$ minus the expected source centers.\n", "\n", "Below we extract the data around the expected (undistorted) position of each source" ] }, { "cell_type": "code", "execution_count": 15, "id": "b8341fcd-f98a-46fa-800f-2b6709a93149", "metadata": {}, "outputs": [], "source": [ "d, e, x, y, dx, dy = np.hstack([np.asarray([data, error, X, Y, X - center_x, Y - center_y])[:, np.hypot(X - center_x, Y - center_y) < 1] for center_x, center_y, amp in zip(Cx.ravel(), Cy.ravel(), np.ones(np.prod(Cx.shape)))])" ] }, { "cell_type": "markdown", "id": "41283b10-97ba-41bc-afcb-56031246e1e0", "metadata": {}, "source": [ "Now we can use this to fit the data\n", "\n", "Note that the SIP object fits **the log of the data**, so you should weight the errors accordingly." ] }, { "cell_type": "code", "execution_count": 16, "id": "0231415e-7d3a-4ae6-a221-85b15ece68c2", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/bv/0t7fjlgx0mx3_3bdhxqzd7bmh_67k0/T/ipykernel_25384/1406739898.py:1: RuntimeWarning: invalid value encountered in log\n", " sip.fit(x=x, y=y, dx=dx, dy=dy, data=np.log(d), errors=e/d, mask=d > 0)\n" ] } ], "source": [ "sip.fit(x=x, y=y, dx=dx, dy=dy, data=np.log(d), errors=e/d, mask=d > 0)" ] }, { "cell_type": "markdown", "id": "b2fb729c-6dcb-4a67-843f-1518ecdb1d9e", "metadata": {}, "source": [ "Now that the model is fit, we have access to the `mu_x` and `mu_y` parameters" ] }, { "cell_type": "code", "execution_count": 17, "id": "1cf06fbd-0cb4-461d-8a6d-aa00706f1925", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DistributionContainer\n", "\t[(-0.05254, 0.00021), (0.006728, 2.9e-05), (-4.73e-05, 1.1e-06), (7.19e-06, 1.1e-07), (0.000543, 2.9e-05), (-0.0002485, 3.9e-06), (-3.84e-06, 1.6e-07), (-5.33e-07, 1.4e-08), (-0.0001076, 1.1e-06), (5.67e-06, 1.5e-07), (-7.355e-07, 6.2e-09), (-1.217e-08, 5.6e-10), (-1.781e-05, 1.1e-07), (-1.06e-07, 1.4e-08), (-9.7e-10, 5.7e-10), (1.13e-10, 5.3e-11)]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sip.mu_x" ] }, { "cell_type": "markdown", "id": "c92b866e-7261-48e9-b36e-219c2f150130", "metadata": {}, "source": [ "These are the SIP model weights as a function of $x$ and $y$. To convert this back into a polynomial model you can use the `mu_x_to_Model` or `mu_y_to_Model` functions" ] }, { "cell_type": "code", "execution_count": 18, "id": "3e500ce0-e61e-43b0-98d8-31df31141e10", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "JointModel\n", "\tConstant()[n, 1]\n", "\tPolynomial(y)[n, 3]\n", "\tPolynomial(x)[n, 3]\n", "\tCrosstermModel(y, x)[n, 9]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sip.mu_x_to_Model()" ] }, { "cell_type": "markdown", "id": "651ebaa9-9607-4cdc-86ec-5778d1a6f9ef", "metadata": {}, "source": [ "These are the weights for the distortion model, back into a 2D polynomial. \n", "\n", "We can use these models to calculate our estimated distortion grid `Xc` and `Yc`." ] }, { "cell_type": "code", "execution_count": 19, "id": "44082c83-ab1e-4cd3-9800-869148941800", "metadata": {}, "outputs": [], "source": [ "Xc, Yc = X - sip.mu_x_to_Model().evaluate(x=X, y=Y), Y - sip.mu_y_to_Model().evaluate(x=X, y=Y)" ] }, { "cell_type": "code", "execution_count": 21, "id": "41201ffa-50cd-4823-946b-50f16404400f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[Text(0.5, 0, 'X'), Text(0, 0.5, 'Y'), None]" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.scatter(X[::10, ::10], Y[::10, ::10], s=10, c='r', label='Undistorted Grid')\n", "ax.scatter(Xt[::10, ::10], Yt[::10, ::10], s=10, c='b', label='True Distortion')\n", "ax.scatter(Xc[::10, ::10], Yc[::10, ::10], s=10, c='lime', label='Best Fit Distortion')\n", "ax.legend()\n", "ax.set(xlabel=\"X\", ylabel=\"Y\", aspect='equal')" ] }, { "cell_type": "markdown", "id": "977d0de9-dab7-4614-b4da-71601af5a13e", "metadata": {}, "source": [ "We've fit the distortion and found a very good fit. We can now use this model to translate between the undistorted and the distorted space.\n", "\n", "Assuming that you have the `astropy` package installed, you are able to convert this model into an `astrop.sip.SIP` class, which will let you store this information as a FITS file for use in your astronomy data." ] }, { "cell_type": "code", "execution_count": 22, "id": "e48d52e8-4227-4e64-9e1e-db2067459654", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sip.to_astropySip(imshape=data.shape, crpix=(100, 100))" ] }, { "cell_type": "markdown", "id": "db0014cd-34ec-42eb-8a0d-500b16b1030c", "metadata": {}, "source": [ "This model is designed to help you convert astronomy images where you have isolated sources at known positions and brightnesses into SIP models. Note you should read our accompanying paper to understand how this works and how to use this in practice. \n", "\n", "This model only works when\n", "\n", "1. Sources are isolated (no crowding)\n", "2. Pixels are used where there is a high signal to noise (no low signal to noise pixels)\n", "3. All background has been subtracted. The only source of signal is the stars.\n", "4. All source have been normalized such that their integrated flux is 1" ] } ], "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }