Question: In this question, determine what the normalization constants should be for two common filters that perform smoothed derivative computations. Hint: this will be easier if

 In this question, determine what the normalization constants should be for

In this question, determine what the normalization constants should be for two common filters that perform smoothed derivative computations. Hint: this will be easier if you remember that these filters are separable, and think about the two 1D filters that combine to form each one. A) As discussed in lecture, the Prewitt edge operator 1 0 -1 1 0 -1 1 0 -1 combines a first derivative filter across rows with a box smoothing filter down columns. What should the normalization constant be so that this filter computes the correct gradient magnitude values across an intensity edge? Answer: Divide result by B) The Sobel edge operator 1 0 -1 2 0 -2 1 0 -1 combines a first derivative filter across rows with a Gaussian smoothing filter down columns. What should the normalization constant be so that this filter computes the correct gradient magnitude values across an intensity edge? Answer: Divide result by

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