{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Import your libraries." ] }, { "cell_type": "code", "execution_count": 255, "metadata": {}, "outputs": [], "source": [ "import numpy as np \n", "import matplotlib.pyplot as plt \n", "from matplotlib.pyplot import imread \n", "from mpl_toolkits.mplot3d import Axes3D \n", "import scipy.ndimage as ndimage" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use a curl operator to pull up whatever image you're wanting to do online. There are a lot of ways to pull up an image, but in class this is an easy way to just point to an image you like with a url. It will look like this: \n", "! curl -O https://somewebsitewithyourimage.png" ] }, { "cell_type": "code", "execution_count": 256, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " % Total % Received % Xferd Average Speed Time Time Time Current\n", " Dload Upload Total Spent Left Speed\n", "100 175k 100 175k 0 0 329k 0 --:--:-- --:--:-- --:--:-- 330k\n" ] } ], "source": [ "! curl -O https://upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Abraham_Lincoln_O-117_by_Gardner%2C_1865.png/397px-Abraham_Lincoln_O-117_by_Gardner%2C_1865.png" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at Abe. First we read the image \n", "img = plt.imread('nameofimage.jpg'), then we show the image with plt.imshow(img, cmap = plt.cm.gray). For fun you can always play around with colormap choices in matplotlib. https://matplotlib.org/stable/tutorials/colors/colormaps.html" ] }, { "cell_type": "code", "execution_count": 257, "metadata": {}, "outputs": [], "source": [ "img = plt.imread('397px-Abraham_Lincoln_O-117_by_Gardner%2C_1865.png')" ] }, { "cell_type": "code", "execution_count": 258, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 258, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(img, cmap = plt.cm.gray)" ] }, { "cell_type": "code", "execution_count": 259, "metadata": {}, "outputs": [], "source": [ "imageFile = '397px-Abraham_Lincoln_O-117_by_Gardner%2C_1865.png' \n", "mat = imread('397px-Abraham_Lincoln_O-117_by_Gardner%2C_1865.png') " ] }, { "cell_type": "code", "execution_count": 260, "metadata": {}, "outputs": [], "source": [ "# create the x and y coordinate arrays (here we just use pixel indices)\n", "xx, yy = np.mgrid[0:mat.shape[0], 0:mat.shape[1]]" ] }, { "cell_type": "code", "execution_count": 261, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 261, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# create the figure\n", "fig = plt.figure()\n", "ax = fig.gca(projection='3d')\n", "ax.plot_surface(xx, yy, mat ,rstride=1, cstride=1, cmap=plt.cm.plasma,\n", " linewidth=0)" ] }, { "cell_type": "code", "execution_count": 262, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 262, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.gca(projection='3d')\n", "ax.invert_zaxis()\n", "ax.plot_surface(xx, yy, mat ,rstride=1, cstride=1, cmap=plt.cm.plasma,\n", " linewidth=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So if we were to look at the waves that make up Abraham Lincoln, you can see how there are 600 waves making up the horizontal axis and 400 waves making up the vertical axis. Do these waves have periodicity? Could they contain other waves? It's more intuitive to start to think about using Fourier analysis on images with periodicity, so let's start there, with an image of a simple sin wave. " ] }, { "cell_type": "code", "execution_count": 263, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " % Total % Received % Xferd Average Speed Time Time Time Current\n", " Dload Upload Total Spent Left Speed\n", "100 342 100 342 0 0 2220 0 --:--:-- --:--:-- --:--:-- 2235\n" ] } ], "source": [ "! curl -O https://i.stack.imgur.com/uAcHP.png" ] }, { "cell_type": "code", "execution_count": 264, "metadata": {}, "outputs": [], "source": [ "img = plt.imread('uAcHP.png')" ] }, { "cell_type": "code", "execution_count": 265, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 265, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(img, cmap = plt.cm.gray)" ] }, { "cell_type": "code", "execution_count": 266, "metadata": {}, "outputs": [], "source": [ "imageFile = 'uAcHP.png'\n", "mat = imread('uAcHP.png') " ] }, { "cell_type": "code", "execution_count": 267, "metadata": {}, "outputs": [], "source": [ "# create the x and y coordinate arrays (here we just use pixel indices)\n", "xx, yy = np.mgrid[0:mat.shape[0], 0:mat.shape[1]]" ] }, { "cell_type": "code", "execution_count": 268, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 268, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# create the figure\n", "fig = plt.figure()\n", "ax = fig.gca(projection='3d')\n", "ax.plot_surface(xx, yy, mat ,rstride=1, cstride=1, cmap=plt.cm.plasma,\n", " linewidth=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now if we view this from the side (y axis) we can see our sine wave, with its purple troughs and yellow peaks. You could imagine taking the fourier transform of that sine wave, along the pixel's row to find the frequency of that component of the image. What would it be? How many peaks are in 250 pixels? I see seven. So if we were to take the Fourier transform of the y column of pixels, we would see one peak at 0.028 in frequency space." ] } ], "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }