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Problem 4 : a ) Let h and h 2 be to orthogonal convolution operators: To - 1 h = 1 0 2 1 -

Problem 4: a) Let h and h2 be to orthogonal convolution operators: To-1 h =1021-101-2-10]-101012) What is the difference between the estimates of gradient magnitude and gradient direction that we find based on the results from the operators h and h2, as compared to the ordinary Sobel operators hx and hy: 10-1] h.=20-210-1]1-1-2-1 h =000121 b) Are the filters h, and he separable into ID-filters? What about hy and hy? Give reasons for your answers.

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