Question: 2. Given a one dimensional image: f= (01 4 9 16 16 16 16 9 4 1 0) (a) Fill in the following table,

2. Given a one dimensional image: f= (01 4 9 16 16

2. Given a one dimensional image: f= (01 4 9 16 16 16 16 9 4 1 0) (a) Fill in the following table, filtering the image with the given filters, assuming zero padding. 1 -1 1 Filter 1 0 -2 Median 1 1 1 0 Image 1 49 16 16 16 16 9 4 1 0 (b) Explain what each of the above filters does and why. (c) Is there a relationship between the second and third filters and the differential calculus? If so, what is it.

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