{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Despike\n", "\n", "This notebook provide an example of how to manipulate the [`despike`](https://pypi.org/project/despike/) package to remove spikes in 2D images.\n", "\n", "## Description\n", "\n", "The spikes in 2D-images correspond to high-energy pixels generated by cosmic rays, sensor noise or dead pixels. They use to have values very different from the rest of their neighboor.\n", "To find them, we use a moving box (5×5 pixels by default) on the image and we compare the mean/median of this sub-image to the central pixel. If the value is `n` (3 by default) times larger than the observed standard deviation we use the median value a the surrounding pixels (8 pixels by default) to replace the spike." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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kmxpX8/cdq453UTvOJYeO3bKnfiz3L6SOxW1/at9cddzVoMum8tz2tk5ZddRL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\nXG6f+c6q3TwmjkvTZVNtro6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import despike\n", "\n", "# Load some data\n", "img = np.loadtxt('tests/data/img.dat')\n", "\n", "plt.figure(figsize=(7,7))\n", "plt.imshow(img)\n", "plt.title('Original image')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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VbbE9yVQdU1pJnBFJkloZRJKkVgaRJKmVQSRJamUQSZJaWTWnmdJRqWZ1nLRtzogkSa0M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\nDCJJUiuDSJLU6v8DMONNHhecfaoAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Search the location of spikes in the image\n", "spikes = despike.spikes(img)\n", "\n", "plt.figure(figsize=(7,7))\n", "plt.imshow(spikes, cmap=plt.get_cmap('gray'))\n", "plt.title('Spikes locations')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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MAAAAgNLhRAYAAABA6ZxttezszM1bw/iyRr8oK6niUsvyf1+zYt2aaVFWSipz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\ndtwkQOz4IsuSHediY0srKbElSzr9Q2uwpOex9zivrLy7389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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Clean the image from spikes\n", "clean_img = despike.clean(img)\n", "\n", "f, (ax0, ax1) = plt.subplots(1, 2, sharey=True, figsize=(14,7))\n", "ax0.imshow(img)\n", "ax1.imshow(clean_img)\n", "ax0.set_title('Original image')\n", "ax1.set_title('Despiked image')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Other filtering\n", "\n", "This module also provide mean and median filters on the image to remove globally the oulayer pixels:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Mean filtering\n", "from despike.mean import mask, mean\n", "\n", "mean_mask = mask(img)\n", "mean_img = mean(img)\n", "\n", "f, (ax0, ax1, ax2) = plt.subplots(1, 3, sharey=True, figsize=(21,7))\n", "ax0.imshow(img)\n", "ax1.imshow(mean_mask, cmap=plt.get_cmap('gray'))\n", "ax2.imshow(mean_img)\n", "ax0.set_title('Original image')\n", "ax1.set_title('Mean mask')\n", "ax2.set_title('Mean image')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Median filtering\n", "from despike.median import mask, median\n", "\n", "median_mask = mask(img)\n", "median_img = median(img)\n", "\n", "f, (ax0, ax1, ax2) = plt.subplots(1, 3, sharey=True, figsize=(21,7))\n", "ax0.imshow(img)\n", "ax1.imshow(median_mask, cmap=plt.get_cmap('gray'))\n", "ax2.imshow(median_img)\n", "ax0.set_title('Original image')\n", "ax1.set_title('Median mask')\n", "ax2.set_title('Median image')\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python [default]", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 2 }