{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Image Preparation \n", "\n", "Based on a blog post from 2011, by hobbyist Michael Hamilton, we have a PunchCard Python class that already works to read card images that are arranged with \n", "their \"dog ear\" corner on the upper left and with punched holes being lighter than the card itself, i.e. backlit cards. After some minor adjustments for recent versions of Python, Hamilton's class can find the edges of a card within the image and read the data encoded by the holes.\n", "\n", "Our goal is to extend this same functionality to more images of punched cards:\n", "* Support front-lit cards (where holes are darker than the card)\n", "* Support the reverse-side scans prevalent in the NARA sample images. \n", "* Support rotation and flip of card images to normalize their orientation.\n", "\n", "In short, our goal is to support reading of punchcard images, no matter how they are photographed. So long as the card is centered in the image and aligned either vertically or horizontally. For this to work, we need to perform a number of image analysis and transformation steps." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Backlighting the Cards (Inversion)\n", "\n", "Some cards may be photographed on backgrounds that are darker than the card itself, making the punches or holes appear darker than the card. Our data reading script is based on backlit cards, with holes showing lighter than the card itself. So we have to detect this situation and then correct for it.\n", "\n", "We came up with a relatively simple formula for testing whether an image is backlit or not. We simply divide the image up into center and edge regions and then see if the center is darker or lighter on average, than the edge. In the code below, we divided the image into the center region and the region just left of center." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "RED = (255, 0, 0)\n", "BLUE = (0, 0, 255)\n", "def debug(image, rectangle, color):\n", " debug = image.copy()\n", " debug = debug.convert(mode=\"RGB\")\n", " draw = ImageDraw.Draw(debug)\n", " for i in range(-2,2):\n", " shifted = list(map(lambda x: x + i, rectangle))\n", " draw.rectangle(shifted, outline=color)\n", " return debug" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "from PIL import ImageStat, ImageDraw\n", "def brightness( im ):\n", " stat = ImageStat.Stat(im)\n", " return stat.mean[0]\n", "\n", "# Determine if card surface is darker than the background\n", "def isbacklit(image):\n", " # is the center lighter or darker than the edges..\n", " # pick a center square and avg brightness\n", " width, height = image.size\n", " ctr_box = (width/4, height/4, (width/4)*3, (height/4)*3)\n", " ctr_region = image.crop(ctr_box)\n", " # pick square left edge to center square and avg brightness.\n", " left_box = (0, height/4, width/4, (height/4)*3)\n", " show = debug(image, ctr_box, RED)\n", " show = debug(show, left_box, BLUE)\n", " display(show)\n", " left_region = image.crop(left_box)\n", " left_brightness = brightness(left_region)\n", " center_brightness = brightness(ctr_region)\n", " return left_brightness > center_brightness" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can run this code on our sample image, first reusing the image loading code from the last notebook. \n", "\n", "Our next step is to convert the \"mode\" of the image to grayscale, since we only care about light and dark. \"L\" mode in PIL means grayscale with 8-bits per pixel. That means that each pixel in our image will be in the range of 0 (pitch black) to 255 (white). (binary values from '00000000' to '11111111') Using grayscale makes image math easier, as each pixel is represented by a single brightness value, instead of three separate values from red, green, and blue.\n", "After converting to grayscale, we pass the new image to the isbacklit() function. Note that we also call display() in the code above so that you can see the two regions that are being compared." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "backlit: False\n" ] } ], "source": [ "# Loading the Data\n", "from PIL import Image\n", "\n", "# Read the image file into an Image object:\n", "image = Image.open(\"cards/C04D01L-1.png\")\n", "image2 = image.convert(mode=\"L\")\n", "backlit = isbacklit(image2)\n", "print(\"backlit: {}\".format(backlit))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, we have learned that our card is not backlit, i.e. the holes are darker than the card itself. In order to use this image, we first have to reverse the white and black regions. It turns out that reversing an image is straightforward." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from PIL import ImageOps\n", "if backlit:\n", " image3 = image2\n", "else:\n", " image3 = ImageOps.invert(image2)\n", "display(image3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Look at that! We have normalized our image so that will all show a dark card with lighter holes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Cropping the Image to the Card\n", "\n", "We are going to need to focus on the geometry of the card itself, in order to detect and place the \"dog ear\" on the upper-left corner. So we need to cut away the portions of the image that surround the card. Now that we have a backlit card, these edge regions are white. Another way of saying this is that those edge pixels have higher numerical values, approaching 255. Our next task is to find the left, right, top, and bottom edges, where the white pixels stop and the card begins.\n", "\n", "We are going to use math to do this, based on the color values stored for each pixel. Using an *array* of image pixel values, we are going to sum up those values along the vertical axis. This gives a list or *vector* of total brightness from left to right in the image." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We are going to show our work using MatPlotLib\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy\n", "\n", "pix = numpy.array(image3)\n", "brightness_totals = numpy.sum(pix, axis=0) # 0 is the vertical axis\n", "\n", "# showing the vector\n", "n = range(0, len(brightness_totals)-1)\n", "plt.plot(n, brightness_totals[n])\n", "plt.title('Brightness Column Totals');\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This graph shows very high brightness on the edges and then minimal brightness on the card itself.\n", "In order to find the edge of the card, we need to decide when the brightness drops off. To review so far, we have created a list of\n", "brightness values that correspond to each pixel column in the image, going from left to right. You can see that this method would not\n", "work if we had not normalized our image to a backlit card.\n", "\n", "Now let's figure out where in that list the brightness value drops below a certain threshold (left card edge) and where it returns above that threshold (right card edge). To do that we can loop through the list from each end and save the positions of those transitions." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Max pixel column value: 138720\n", "Threshold column value: 110976\n", "first: 24, last: 1132\n" ] } ], "source": [ "max = pix.shape[0]*255 # calculate the maximum possible column value (all white pixels)\n", "print(\"Max pixel column value: {}\".format(max))\n", "threshold = int(max*.8) # Set a threshold as a fraction of the maximum value.\n", "print(\"Threshold column value: {}\".format(threshold))\n", "first = 0 # If we do not cross the threshold, then card is at the edge already, i.e. column 0 is a card pixel.\n", "for i in range(0, len(brightness_totals)-1):\n", " if(brightness_totals[i] < threshold):\n", " first = i-1\n", " break\n", "last = len(brightness_totals)-1 # Last pixel is a card pixel, if we never detect the transition from the right edge.\n", "for i in range(0, len(brightness_totals)-1):\n", " if(brightness_totals[len(brightness_totals)-1-i] < threshold):\n", " last = len(brightness_totals)-i\n", " break\n", "print(\"first: {}, last: {}\".format(first, last))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have just calculated the horizontal offsets of the card within the image. The left edge of the card starts at column 24 and the right edge ends at column 1132.\n", "With a little work, we can make this code into a function that will work for both vertical and horizontal dimensions.." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "def findMargins(im, axis=0, threshold_ratio=.8):\n", " pix = numpy.array(im)\n", " max = pix.shape[axis]*255\n", " threshold = int(max*threshold_ratio)\n", " brightness_totals = numpy.sum(pix, axis=axis)\n", " first = 0\n", " last = len(brightness_totals)-1\n", " for i in range(0, len(brightness_totals)-1):\n", " if(brightness_totals[i] < threshold):\n", " first = i-1\n", " break\n", " for i in range(0, len(brightness_totals)-1):\n", " if(brightness_totals[len(brightness_totals)-1-i] < threshold):\n", " last = len(brightness_totals)-i\n", " break\n", " return (first, last)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "left: 24, right: 1132\n" ] } ], "source": [ "(left, right) = findMargins(image3, axis=0)\n", "print(\"left: {}, right: {}\".format(left, right))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A quick test run shows that the same values are returned for the horizontal offsets (axis=0). Now let's find the vertical offsets." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "top: 33, bottom: 525\n" ] } ], "source": [ "(top, bottom) = findMargins(image3, axis=1)\n", "print(\"top: {}, bottom: {}\".format(top, bottom))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we have enough information to crop the image to just include the card without background. This may be a little hard to see on the white background of the notebook page.." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "crop_box = (left, top, right, bottom)\n", "show = debug(image3, crop_box, RED)\n", "show = debug(show, (0, 0, image3.size[0], image3.size[1]), BLUE)\n", "display(show)\n", "image4 = image3.crop(crop_box)\n", "display(image4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Rotate Card Image to \"Landscape\" Orientation\n", "\n", "Our card reading script expects card images where the width is longer than the height. Some images may be oriented the other way, in \"portrait\" orientation. We have to rotate any portrait oriented cards by one quarter turn, or 90 degrees. We can do this with a call to a standard library function for image transformations." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "landscape_image = image4\n", "if(image4.size[1] > image4.size[0]): \n", " print('rotating card')\n", " landscape_image = image4.transpose(Image.ROTATE_90) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "No rotation operation is performed because our example is already in landscape orientation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Detect the Punchcard\n", "\n", "With a cropped card and a known orientation, we have enough data to determine whether or not this is an image of a punchcard or not. A standard IBM 029 punchcard measures 7 3/8 inches long and 3 ¼ inches tall. If we allow for some slight variation, then we can write a test to see if our card’s proportions are the same. We’ll create two height to width proportions, one slightly higher than standard and one slightly lower. Then we can see if the image proportions lie between those two numbers. " ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "punchcard: True\n" ] } ], "source": [ "CARD_WIDTH = 7.0 + 3.0/8.0 # inches\n", "CARD_HEIGHT = 3.25 # inches\n", "CARD_SPEC_TOLERANCE = .15 # inches, adjust as needed \n", "CARD_W_TO_H_RATIO_HIGH = (CARD_WIDTH + CARD_SPEC_TOLERANCE) / CARD_HEIGHT \n", "CARD_W_TO_H_RATIO_LOW = (CARD_WIDTH - CARD_SPEC_TOLERANCE) / CARD_HEIGHT \n", "card_ratio = float(landscape_image.size[0]) / float(landscape_image.size[1]) \n", "is_card = card_ratio <= CARD_W_TO_H_RATIO_HIGH and card_ratio > CARD_W_TO_H_RATIO_LOW\n", "print('punchcard: {}'.format(is_card))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Flip the \"Dog Ear\" to Top-Left Corner\n", "\n", "Michael Hamilton’s code expects the “dog ear” or angle cut-out in the card to be positioned in the top-left of the image. That is where the dog ear is normally positioned when you look at the front of a paper punch card. However, we want our code to work even when the card was photographed from the back, as is the case with our NARA samples. There are two kinds of image flipping operations we can do, left-right and top-bottom, but we may need to perform both if the dog ear is in the bottom-right, or neither if the “dog ear” is already in the top-left. Since the dog ear reveals more of the white background, the dog ear corner will have a higher average brightness than the other corners. We can use this fact to choose the right combination of flip operations. In our code we perform each possible combination of flip operations, measuring the brightness of the top-left corner. Then we choose the flip combination for which that corner was brightest. Python has some useful functions that help us iterate through all the combinations of two choices. " ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "testbox = (0,0,20,20) # top-left corner\n", "brightest = -1\n", "flipped_image = None\n", "\n", "for (lr,tb), value in numpy.ndenumerate(numpy.zeros((2,2))): \n", " test_image = landscape_image\n", " if lr: \n", " test_image = test_image.transpose(Image.FLIP_LEFT_RIGHT) \n", " if tb: \n", " test_image = test_image.transpose(Image.FLIP_TOP_BOTTOM) \n", " b = brightness(test_image.crop(testbox)) \n", " if b > brightest: \n", " brightest = b \n", " flipped_image = test_image\n", "show = debug(flipped_image, testbox, RED)\n", "display(show)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This code performs every combination of left-right and top-bottom flips, by denumerating the positions in a 2-by-2 array, starting with (0, 0) representing no flip operations, and ending with (1,1) representing both left-right and top-bottom flips. Whichever combination produces the brightest square in the top-left corner is the solution, i.e. the best flip combination.\n", "\n", "Lastly, we are going to save the resulting image, but add a small margin all the way around. That margin will allow Hamilton's code to once again detect the edges of the card. The red outline was added so you can see the new white border region." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from PIL import ImageOps\n", "border_image = ImageOps.expand(flipped_image,border=10,fill='white')\n", "show = debug(border_image, (0,0,border_image.size[0],border_image.size[1]), RED)\n", "display(show)\n", "border_image.save('prepared_image.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Review\n", "\n", "This notebook encompassed many steps that are needed to impose some common traits on punchcard images, making them readable by Michael Hamilton's code. Any punchcard image that is processed through these steps will be backlit and layed out like the \"Macon Fort\" card displayed by the code above. We used a number of standard image library calls to make changes to the images. We made these changes in response to mathematical measurements and calculations that were performed on pixel color values. Now this image is ready for reading by our adaption of Michael Hamilton's code.\n", "\n", "# My Image Preparation Notes\n", "(This area provided for students to record their notes on the dataset.)\n", "\n", "Next: [Data Extraction](notebook-3.ipynb)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }