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Following Example, what could be a filter kernel for the quadratic variation (instead of the one derived for the Laplace operator)? Prove that Sobel masks

Following Example, what could be a filter kernel for the quadratic variation (instead of the one derived for the Laplace operator)?

Prove that Sobel masks are of the form dsand sdfor 3D vectors s and d that satisfy the assumptions of the MeerGeorgescu algorithm for edge detection.

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