{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## The point spread function\n", "\n", "The point spread functions blures the data in spatial direction and is an observational artefact. So far we have implemented a gaussian kernel. With that kernel the mock-observations can be convolved to mimic real observations. It is important that the sum of the kernel is 1." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(20, 20)\n", "1.0000002\n" ] } ], "source": [ "#NBVAL_SKIP\n", "from rubix.telescope.psf.kernels import gaussian_kernel_2d\n", "\n", "kernel = gaussian_kernel_2d(20,20,3.5)\n", "print(kernel.shape)\n", "print(kernel.sum())" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#NBVAL_SKIP\n", "import matplotlib.pyplot as plt\n", "plt.imshow(kernel, cmap='hot')\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here an example for the PSF convolution, we have an artificial datacube of shape (50,50,300), which contains random numbers in the spatial dimension. Each layer in the wavelength dimension is convolved with the kernel. We plot one spaxel [10,10] along the wavelength range for the original random data and the psf smoothed random data." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(50, 50, 300)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#NBVAL_SKIP\n", "# Get an example Datacube\n", "from rubix.telescope.psf.psf import apply_psf\n", "import numpy as np\n", "import jax.numpy as jnp\n", "datacube = np.ones((50,50,300))\n", "# create random data\n", "for i in range(300):\n", " datacube[:,:,i] = np.random.rand(50,50)\n", "\n", "datacube = jnp.array(datacube)\n", "\n", "convolved_datacube = apply_psf(datacube, kernel)\n", "print(convolved_datacube.shape)\n", "\n", "plt.plot(convolved_datacube[10,10,:], label='convolved')\n", "plt.plot(datacube[10,10,:], label='original')\n", "plt.legend()" ] } ], "metadata": { "kernelspec": { "display_name": "rubix", "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": "3.12.10" } }, "nbformat": 4, "nbformat_minor": 2 }