{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "
\n", "**This is a fixed-text formatted version of a Jupyter notebook.**\n", "\n", "- Try online [![Binder](https://mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy-webpage/v0.9?urlpath=lab/tree/detect_ts.ipynb)\n", "- You can contribute with your own notebooks in this\n", "[GitHub repository](https://github.com/gammapy/gammapy/tree/master/tutorials).\n", "- **Source files:**\n", "[detect_ts.ipynb](../_static/notebooks/detect_ts.ipynb) |\n", "[detect_ts.py](../_static/notebooks/detect_ts.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Source detection with Gammapy\n", "\n", "## Introduction\n", "\n", "This notebook show how to do source detection with Gammapy using one of the methods available in [gammapy.detect](..\/detect/index.rst).\n", "\n", "We will do this:\n", "\n", "* produce 2-dimensional test-statistics (TS) images using Fermi-LAT 2FHL high-energy Galactic plane survey dataset\n", "* run a peak finder to make a source catalog\n", "* do some simple measurements on each source\n", "* compare to the 2FHL catalog\n", "\n", "Note that what we do here is a quick-look analysis, the production of real source catalogs use more elaborate procedures.\n", "\n", "We will work with the following functions and classes:\n", "\n", "* [gammapy.maps.WcsNDMap](..\/api/gammapy.maps.WcsNDMap.rst)\n", "* [gammapy.detect.TSMapEstimator](..\/api/gammapy.detect.TSMapEstimator.rst)\n", "* [gammapy.detect.find_peaks](..\/api/gammapy.detect.find_peaks.rst)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup\n", "\n", "As always, let's get started with some setup ..." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from astropy import units as u\n", "from astropy.convolution import Gaussian2DKernel\n", "from astropy.coordinates import SkyCoord\n", "from gammapy.maps import Map\n", "from gammapy.detect import TSMapEstimator, find_peaks\n", "from gammapy.catalog import source_catalogs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute TS image" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Load data from files\n", "filename = \"$GAMMAPY_DATA/fermi_survey/all.fits.gz\"\n", "opts = {\n", " \"position\": SkyCoord(0, 0, unit=\"deg\", frame=\"galactic\"),\n", " \"width\": (20, 8),\n", "}\n", "maps = {\n", " \"counts\": Map.read(filename, hdu=\"COUNTS\").cutout(**opts),\n", " \"background\": Map.read(filename, hdu=\"BACKGROUND\").cutout(**opts),\n", " \"exposure\": Map.read(filename, hdu=\"EXPOSURE\").cutout(**opts),\n", "}" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 534 ms, sys: 57.7 ms, total: 591 ms\n", "Wall time: 1.86 s\n" ] } ], "source": [ "%%time\n", "# Compute a source kernel (source template) in oversample mode,\n", "# PSF is not taken into account\n", "kernel = Gaussian2DKernel(2.5, mode=\"oversample\")\n", "estimator = TSMapEstimator()\n", "images = estimator.run(maps, kernel)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot images" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 5))\n", "images[\"sqrt_ts\"].plot();" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 5))\n", "images[\"flux\"].plot(add_cbar=True);" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 5))\n", "images[\"niter\"].plot(add_cbar=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Source catalog\n", "\n", "Let's run a peak finder on the `sqrt_ts` image to get a list of sources (positions and peak `sqrt_ts` values)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "Table length=4\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
valuexyradec
degdeg
float64int64int64float64float64
11.3863837270.13528-23.76653
10.0441538271.27051-21.71617
10.0089939266.48351-28.91953
9.73782619272.49049-23.60089
" ], "text/plain": [ "\n", " value x y ra dec \n", " deg deg \n", "float64 int64 int64 float64 float64 \n", "------- ----- ----- --------- ---------\n", " 11.386 38 37 270.13528 -23.76653\n", " 10.044 15 38 271.27051 -21.71617\n", " 10.008 99 39 266.48351 -28.91953\n", " 9.7378 26 19 272.49049 -23.60089" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sources = find_peaks(images[\"sqrt_ts\"], threshold=8)\n", "sources" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot sources on top of significance sky image\n", "plt.figure(figsize=(15, 5))\n", "\n", "images[\"sqrt_ts\"].plot()\n", "\n", "plt.gca().scatter(\n", " sources[\"ra\"],\n", " sources[\"dec\"],\n", " transform=plt.gca().get_transform(\"icrs\"),\n", " color=\"none\",\n", " edgecolor=\"black\",\n", " marker=\"o\",\n", " s=600,\n", " lw=1.5,\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Measurements\n", "\n", "* TODO: show cutout for a few sources and some aperture photometry measurements (e.g. energy distribution, significance, flux)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# TODO" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compare to 2FHL\n", "\n", "TODO" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "Table length=5\n", "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
Source_NameGLONGLAT
degdeg
bytes18float32float32
2FHL J0008.1+4709115.339355-15.068757
2FHL J0009.3+5031116.12411-11.793202
2FHL J0018.5+2947114.46349-32.54235
2FHL J0022.0+0006107.171715-61.86175
2FHL J0033.6-192194.28002-81.22237
" ], "text/plain": [ "\n", " Source_Name GLON GLAT \n", " deg deg \n", " bytes18 float32 float32 \n", "----------------- ---------- ----------\n", "2FHL J0008.1+4709 115.339355 -15.068757\n", "2FHL J0009.3+5031 116.12411 -11.793202\n", "2FHL J0018.5+2947 114.46349 -32.54235\n", "2FHL J0022.0+0006 107.171715 -61.86175\n", "2FHL J0033.6-1921 94.28002 -81.22237" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fermi_2fhl = source_catalogs[\"2fhl\"]\n", "fermi_2fhl.table[:5][[\"Source_Name\", \"GLON\", \"GLAT\"]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "TODO: put one or more exercises" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Start exercises here!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What next?\n", "\n", "In this notebook, we have seen how to work with images and compute TS images from counts data, if a background estimate is already available.\n", "\n", "Here's some suggestions what to do next:\n", "\n", "- TODO: point to background estimation examples\n", "- TODO: point to other docs ..." ] } ], "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": "3.6.0" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 2 }