Exercise

Filter convolutions

Filters are an essential tool in image processing. They allow you to transform images based on intensity values surrounding a pixel, rather than globally.

2D array convolution. By Michael Plotke [CC BY-SA 3.0 (https://creativecommons.org/licenses/by-sa/3.0)], from Wikimedia Commons

For this exercise, smooth the foot radiograph. First, specify the weights to be used. (These are called "footprints" and "kernels" as well.) Then, convolve the filter with im and plot the result.

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Create a three by three array of filter weights. Set each element to 0.11 to perform mean filtering (also called "uniform filtering").