Question: A binary image has lines in the horizontal, vertical, 45, and -45 directions. Provide a set of 4 3x3 masks that can detect 1-pixel-length spaces

A binary image has lines in the horizontal, vertical, 45, and -45 directions. Provide a set of 4 3x3 masks that can detect 1-pixel-length spaces on these lines. Assume that the intensity level of the lines is 1 and the intensity level of the background is 0. Prove that the filter set you propose can detect the gaps on the line in any direction, with numerical examples over the epicels a, b, c, d, as shown on the right. Interpret your results.

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