{"cells":[{"metadata":{"_uuid":"9c02122ffd2a56cd4d81275a703de255bf3dcb50","_cell_guid":"1c408096-e2ed-4b1a-96dc-d97f04576a0c"},"cell_type":"markdown","source":"# Exercise Introduction\n\nTo build and test your intuition for convolutions, you will design a vertical line detector.  We'll apply it to each part of an image to create a new tensor showing where there are vertical lines.\n\n![Imgur](https://i.imgur.com/op9Maqr.png)\n\nFollow these following 4 steps:\n1. **Fork this notebook**\n2. **Run this full notebook and scroll down to see the output**  You will see the original image, as well as an example of the image we get from applying our horizontal line detector to the image.\n3. **Fill in the code cell for `vertical_line_conv`.**  You will have to think about what numbers in the list will create a vertical line detector.  Run this cell.\n4. **Add `vertical_line_conv` to `conv_list`.  Run that cell.**  You will see the output of your vertical line filter underneath the horizontal line filter.  You will also see a printed hint indicating if you got this right.  \n\nOnce that's done, you are ready to learn about deep convolutional models, the key to modern computer vision breakthroughs.\n\n---\n\n# Import Utility Functions\nWe'll use some small utilty functions to load raw image data, visualize the results and give hints on your answert, etc.  Don't worry about these, but execute the next cell to load the utility functions.\n"},{"metadata":{"collapsed":true,"_uuid":"1c812b255b9e577cd5f5118823ad3c7725bc8872","_cell_guid":"ee82df62-e608-4bc5-8262-f6ad4961054b","trusted":true},"cell_type":"code","source":"import sys\n# Add directory holding utility functions to path to allow importing\nsys.path.append('/kaggle/input/python-utility-code-for-deep-learning-exercises/utils')\nfrom exercise_1 import load_my_image, apply_conv_to_image, show, print_hints","execution_count":1,"outputs":[]},{"metadata":{"_uuid":"aef8e139775e21a4e01ad07547aa83a6f3a72919","_cell_guid":"805ef092-0efe-4a85-a0df-5e5d17404469"},"cell_type":"markdown","source":"# Example Convolution: Horizontal Line Detector\nHere is the convolution you saw in the video.  It's provided here as an example, and you shouldn't need to change it."},{"metadata":{"collapsed":true,"_uuid":"c8f6a7c3503c2bcc5922b1a01000b13fcdf7055e","_cell_guid":"8b1ac6d7-521e-4591-b076-af0be8185b45","trusted":true},"cell_type":"code","source":"# Detects bright pixels over dark pixels. \nhorizontal_line_conv = [[1, 1], \n                        [-1, -1]]","execution_count":2,"outputs":[]},{"metadata":{"_uuid":"bd7f2171bb84fa25e8a106b5834bf34ad2201d93","_cell_guid":"0ed4659f-9661-404d-8b0c-710bf4666425"},"cell_type":"markdown","source":"# Your Turn: Vertical Line Detector\n\n**Replace the question marks with numbers to make a vertical line detector and uncomment both lines of code in the cell below.**"},{"metadata":{"collapsed":true,"_uuid":"22aff839d64cc10f7d1b88a845d4eac12cdf549e","_cell_guid":"51919a23-0fa4-4d60-b616-2cb96bccf0e7","trusted":true},"cell_type":"code","source":"vertical_line_conv = [[1, -1], \n                      [1, -1]]","execution_count":3,"outputs":[]},{"metadata":{"_uuid":"bdbe9e7d79d138b493886c583969da62bcdee69a","_cell_guid":"eb1d9588-cb01-45eb-a0f3-af81d4e3f164"},"cell_type":"markdown","source":"**Once you have created vertical_line_conv in the cell above, add it as an additional item to `conv_list` in the next cell. Then run that cell.**"},{"metadata":{"_uuid":"fbc4e47d0a4bb86166d858046cc7b6e65f7521e4","_cell_guid":"42ff7e62-aa38-4263-a8f5-86acaf5e82ae","trusted":true},"cell_type":"code","source":"conv_list = [horizontal_line_conv,vertical_line_conv]\n\noriginal_image = load_my_image()\nprint(\"Original image\")\nshow(original_image)\nfor conv in conv_list:\n    filtered_image = apply_conv_to_image(conv, original_image)\n    print(\"Output: \")\n    show(filtered_image)","execution_count":4,"outputs":[{"output_type":"stream","text":"Original image\n","name":"stdout"},{"output_type":"display_data","data":{"text/plain":"<matplotlib.figure.Figure at 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jo3yl3/5l2Y2EYf+6q/+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\n[[ 1  1]\n [-1 -1]]\nOutput: \n","name":"stdout"},{"output_type":"display_data","data":{"text/plain":"<matplotlib.figure.Figure at 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G2+84aZ1HKMWQLOkA9Vs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Vw1Iw5mUy8bi8sYDDz1ut1u3TpkpnNKRqsLwjkM7Mg/ITNkVmhJcPhMIhuxbXL5XJCHsfxgIbn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\nMSSN8OizKx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\n[[ 1 -1]\n [ 1 -1]]\nCongrats.  That did it.\nOutput: \n","name":"stdout"},{"output_type":"display_data","data":{"text/plain":"<matplotlib.figure.Figure at 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kQgA+PEf//Eg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\nsjkKCipQNkdBQQXK5igoqEDZHAUFFfh/llW6JRy3BmMAAAAASUVORK5CYII=\n"},"metadata":{}}]},{"metadata":{"_uuid":"9813c870835696f2916b93c33ccf1639bc69cf6e","_cell_guid":"182683d4-dd85-443d-b430-7c23e649112e"},"cell_type":"markdown","source":"\n**Above, you'll see the output of the horizontal line filter as well as the filter you added. If you got it right, the output of your filter will looks like this.**\n![Imgur](https://i.imgur.com/uR2ngvK.png)\n\n---\n# Keep Going\n**Now you are ready to [combine convolutions into powerful models](https://www.kaggle.com/dansbecker/building-models-from-convolutions). These models are fun to work with, so keep going.**\n\n**[Deep Learning Track Home](https://www.kaggle.com/education/deep-learning)**"}],"metadata":{"language_info":{"name":"python","version":"3.6.4","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"},"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"}},"nbformat":4,"nbformat_minor":1}