Shape Similarity Metric for Binary Images

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I have binary images that has various shapes in it. I would like to measure the shape similarity between two binary images. Is there any good measure for this purpose?

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Hamed Sarbolandı On

It really depends similarity from which point of view? The best way to show it is to post "Similar" and "Unsimilar" sample images. Your direkt answer is: "XOR the two images, and sum up all the pixels, the bigger result is the most unsimillar." But I think you have a more challenging problem.