{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Sampling Spatial Distributions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/ArtificialStellarPopulations/ArtPop/blob/main/colab_tutorials/spatial.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To make an artificial image of a stellar system, you need the fluxes of the stars _and_ their spatial positions. In the [Building Stellar Populations](pops.ipynb) tutorial, we showed how to use **ArtPop** to generate stellar magnitudes. In this tutorial, we demonstrate how to sample spatial positions. At the moment, **ArtPop** provides functions for sampling the [Plummer](../api/artpop.space.plummer_xy.rst), [Sersic](../api/artpop.space.sersic_xy.rst), and [uniform](../api/artpop.space.uniform_xy.rst) distributions are implemented in **ArtPop**.\n", "\n", "First, we start with the imports we will need:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Third-party imports\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from astropy import units as u\n", "\n", "# Project import\n", "import artpop\n", "\n", "# artpop's matplotlib style\n", "plt.style.use(artpop.mpl_style)\n", "\n", "# use this random state for reproducibility\n", "rng = np.random.RandomState(9)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Plummer Distribution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Plummer distribution is sampled using [inverse transform sampling](https://en.wikipedia.org/wiki/Inverse_transform_sampling). To generate ``xy`` pixel positions that are distributed according to a Plummer distribution, use the [plummer_xy](../api/artpop.space.plummer_xy.rst) function:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 277, "width": 298 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# keyword arguments for the plummer function\n", "kws = dict(\n", " num_stars = 1e4, # number of stars\n", " scale_radius = 50 * u.pc, # plummer scale radius\n", " distance = 55 * u.Mpc, # distance to system\n", " xy_dim = (201, 201), # xy dimensions of image\n", " pixel_scale = 0.2, # pixel scale in pixel/arcsec\n", " random_state = rng # random state for reproducibility\n", ")\n", "\n", "xy = artpop.plummer_xy(**kws)\n", "\n", "plt.plot(xy[:, 0], xy[:, 1], 'o', ms=1)\n", "plt.gca().set(xlim=(0, 200), ylim=(0, 200), aspect='equal', \n", " xlabel='$x$ [pixel]', ylabel='$y$ [pixel]');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The sampled positions are returned as a [NumPy Masked Array](https://numpy.org/doc/stable/reference/maskedarray.baseclass.html#numpy.ma.MaskedArray), ``xy``, where positions that are outside the image, based on the ``xy_dim`` parameter, are masked.\n", "\n", "If there are any stars outside the image, a warning will be printed. Let's move the system to a much closer distance so that we'll have some stars outside the image:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: 508 stars outside the image\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 277, "width": 298 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "kws['distance'] = 2 * u.Mpc\n", "\n", "xy = artpop.plummer_xy(**kws)\n", "\n", "plt.plot(xy[:, 0], xy[:, 1], 'o', ms=1, alpha=0.1)\n", "plt.gca().set(xlim=(0, 200), ylim=(0, 200), aspect='equal', \n", " xlabel='$x$ [pixel]', ylabel='$y$ [pixel]');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Sersic Distribution\n", "\n", "The Sersic distribution is sampled within a discrete grid using [NumPy's choice function](https://docs.scipy.org/doc//numpy-1.10.4/reference/generated/numpy.random.choice.html). The ``num_r_eff`` parameter is used to set the number of effective radii within the discrete grid. You want this number to be large enough to ensure that you don't oversample small radii, but keep in mind that it is using a discrete grid, which requires more and more memory as ``num_r_eff`` increases.\n", "\n", "Use the [sersic_xy](../api/artpop.space.sersic_xy.rst) function to sample positions from a Sersic distribution:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 277, "width": 298 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# note that all parameters with units can also be given \n", "# as floats, in which case a default unit (see doc string) \n", "# is assumed. e.g., r_eff will be assumed to be in kpc\n", "xy = artpop.sersic_xy(\n", " num_stars = 1e5, # the number of stars\n", " r_eff = 0.5, # effective radius (kpc)\n", " n = 0.8, # Sersic index\n", " theta = 45, # position angle (deg)\n", " ellip = 0.3, # ellipticity \n", " distance = 15, # distance to system (Mpc)\n", " xy_dim = 601, # xy dimensions of image\n", " pixel_scale = 0.2, # pixel scale in pixel/arcsec\n", " num_r_eff = 10, # number of r_eff in discrete grid\n", " random_state = rng # random state for reproducibility\n", ")\n", "\n", "plt.plot(xy[:, 0], xy[:, 1], 'o', ms=1, alpha=0.1)\n", "plt.gca().set(xlim=(0, 600), ylim=(0, 600), aspect='equal', \n", " xlabel='$x$ [pixel]', ylabel='$y$ [pixel]');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Grid Sampling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As noted above, **ArtPop** samples from a Sersic distribution using a discrete grid. Grid sampling for arbitrary two-dimensional functions is accessible to the user through the [xy_from_grid](../api/artpop.space.xy_from_grid.rst) function. The input function is expected to be an [astropy model](https://docs.astropy.org/en/stable/modeling/predef_models2D.html). Here's an example using the [Ring2D](https://docs.astropy.org/en/stable/api/astropy.modeling.functional_models.Ring2D.html#astropy.modeling.functional_models.Ring2D) model:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 277, "width": 298 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from astropy.modeling.models import Ring2D\n", "\n", "# initialize an astropy 2D ring model\n", "ring = Ring2D(x_0=250, y_0=250, r_in=100, width=50)\n", "\n", "xy = artpop.xy_from_grid(\n", " num_stars = 1e3,\n", " model = ring,\n", " xy_dim = (501, 501),\n", " random_state = rng\n", ")\n", "\n", "plt.plot(xy[:, 0], xy[:, 1], 'o', ms=1, alpha=0.5)\n", "plt.gca().set(xlim=(0, 500), ylim=(0, 500), aspect='equal', \n", " xlabel='$x$ [pixel]', ylabel='$y$ [pixel]');" ] } ], "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": "3.6.13" } }, "nbformat": 4, "nbformat_minor": 4 }