{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "twIRnzWRIKjw" }, "source": [ "## Experiment with filters and pools" ] }, { "cell_type": "markdown", "metadata": { "id": "tJTHvE8Qe5nM" }, "source": [ "Let's explore how convolutions work by creating a basic convolution on a 2D Grey Scale image. First we can load the image by taking the 'ascent' image from scipy. It's a nice, built-in picture with lots of angles and lines. " ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "id": "DZ5OXYiolCUi" }, "outputs": [], "source": [ "import cv2\n", "import numpy as np\n", "from scipy import misc\n", "i = misc.ascent()" ] }, { "cell_type": "markdown", "metadata": { "id": "SRIzxjWWfJjk" }, "source": [ "Next, we can use the pyplot library to draw the image so we know what it looks like." ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 248 }, "id": "R4p0cfWcfIvi", "outputId": "2538dc84-5784-486e-9d51-af663444f87d" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light", "tags": [] }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.grid(False)\n", "plt.gray()\n", "plt.axis('off')\n", "plt.imshow(i)\n", "plt.imsave('original.png', i)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "C1mhZ_ZTfPWH" }, "source": [ "The image is stored as a numpy array, so we can create the transformed image by just copying that array. Let's also get the dimensions of the image so we can loop over it later. " ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "id": "o5pxGq1SmJMD" }, "outputs": [], "source": [ "i_transformed = np.copy(i)\n", "size_x = i_transformed.shape[0]\n", "size_y = i_transformed.shape[1]" ] }, { "cell_type": "markdown", "metadata": { "id": "Y7PwNkiXfddd" }, "source": [ "Now we can create a filter as a 3x3 array. " ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "id": "sN3imZannN5J" }, "outputs": [], "source": [ "# This filter detects edges nicely\n", "# It creates a convolution that only passes through sharp edges and straight\n", "# lines.\n", "\n", "#Experiment with different values for fun effects.\n", "#filter = [ [0, 1, 0], [1, -4, 1], [0, 1, 0]]\n", "\n", "# A couple more filters to try for fun!\n", "#filter = [ [-1, -2, -1], [0, 0, 0], [1, 2, 1]]\n", "#filter = [ [-1, 0, 1], [-2, 0, 2], [-1, 0, 1]]\n", "#filter = [[0, 0, 0], [0, 1, 0], [0, 0, 0]]\n", "#filter = [[1, 0, -1], [0, 0, 0], [-1, 0, 1]]\n", "#filter = [[-1,-1,-1], [-1, 8, -1], [-1, -1, -1]]\n", "filter = np.array([[1., 2., 1.], [2., 4., 2.], [1., 2., 1.]]) * (1 / 16) \n", "\n", "# If all the digits in the filter don't add up to 0 or 1, you \n", "# should probably do a weight to get it to do so\n", "# so, for example, if your weights are 1,1,1 1,2,1 1,1,1\n", "# They add up to 10, so you would set a weight of .1 if you want to normalize them\n", "weight = 1" ] }, { "cell_type": "markdown", "metadata": { "id": "JQmm_iBufmCz" }, "source": [ "Now let's create a convolution. We will iterate over the image, leaving a 1 pixel margin, and multiply out each of the neighbors of the current pixel by the value defined in the filter. \n", "\n", "i.e. the current pixel's neighbor above it and to the left will be multiplied by the top left item in the filter etc. etc. We'll then multiply the result by the weight, and then ensure the result is in the range 0-255\n", "\n", "Finally we'll load the new value into the transformed image. " ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "id": "299uU2jAr90h" }, "outputs": [], "source": [ "for x in range(1,size_x-1):\n", " for y in range(1,size_y-1):\n", " convolution = 0.0\n", " convolution = convolution + (i[x - 1, y-1] * filter[0][0])\n", " convolution = convolution + (i[x, y-1] * filter[0][1])\n", " convolution = convolution + (i[x + 1, y-1] * filter[0][2])\n", " convolution = convolution + (i[x-1, y] * filter[1][0])\n", " convolution = convolution + (i[x, y] * filter[1][1])\n", " convolution = convolution + (i[x+1, y] * filter[1][2])\n", " convolution = convolution + (i[x-1, y+1] * filter[2][0])\n", " convolution = convolution + (i[x, y+1] * filter[2][1])\n", " convolution = convolution + (i[x+1, y+1] * filter[2][2])\n", " convolution = convolution * weight\n", " if(convolution < 0):\n", " convolution = 0\n", " if(convolution > 255):\n", " convolution = 255\n", " i_transformed[x, y] = convolution" ] }, { "cell_type": "markdown", "metadata": { "id": "6XA--vgvgDEQ" }, "source": [ "Now we can plot the image to see the effect of the convolution!" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 269 }, "id": "7oPhUPNhuGWC", "outputId": "2abf05a9-5a24-45bb-9d26-0ccc722dcc94" }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light", "tags": [] }, "output_type": "display_data" } ], "source": [ "# Plot the image. Note the size of the axes -- they are 512 by 512\n", "plt.gray()\n", "plt.grid(False)\n", "plt.imshow(i_transformed)\n", "#plt.axis('off')\n", "plt.show() " ] }, { "cell_type": "markdown", "metadata": { "id": "xF0FPplsgHNh" }, "source": [ "This code will show a (2, 2) pooling. The idea here is to iterate over the image, and look at the pixel and it's immediate neighbors to the right, beneath, and right-beneath. Take the largest of them and load it into the new image. Thus the new image will be 1/4 the size of the old -- with the dimensions on X and Y being halved by this process. You'll see that the features get maintained despite this compression!" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 269 }, "id": "kDHjf-ehaBqm", "outputId": "23370b6d-6ab7-4362-e553-333a83489b38" }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light", "tags": [] }, "output_type": "display_data" } ], "source": [ "new_x = int(size_x/2)\n", "new_y = int(size_y/2)\n", "newImage = np.zeros((new_x, new_y))\n", "for x in range(0, size_x, 2):\n", " for y in range(0, size_y, 2):\n", " pixels = []\n", " pixels.append(i_transformed[x, y])\n", " pixels.append(i_transformed[x+1, y])\n", " pixels.append(i_transformed[x, y+1])\n", " pixels.append(i_transformed[x+1, y+1])\n", " newImage[int(x/2),int(y/2)] = max(pixels)\n", "\n", "# Plot the image. Note the size of the axes -- now 256 pixels instead of 512\n", "plt.gray()\n", "plt.grid(False)\n", "# plt.imsave('test8.png', newImage)\n", "plt.imshow(newImage)\n", "#plt.axis('off')\n", "plt.show() \n", " \n", " " ] } ], "metadata": { "colab": { "collapsed_sections": [], "name": "Course 1 - Part 6 - Lesson 3 - Notebook.ipynb", "provenance": [], "toc_visible": true }, "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": "3.8.7" } }, "nbformat": 4, "nbformat_minor": 1 }