Given a 4 ×4 image, find the 4 ×4 lowpass filtered output using the 3 ×3 averaging filter with t

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Accepted Answer

Step 1: Zero-pad the input image to handle the borders.
We add a border of zeros around the inpu

Given a $4 \times 4$ image, find the $4 \times 4$ lowpass filtered output using the $3 \times 3$ averaging filter with the borders zero-padded. $$ x(m, n)=\left[\begin{array}{llll} 70 & 62 & 51 & 45 \\ 71 & 62 & 57 & 55 \\ 73 & 65 & 56 & 60 \\ 68 & 69 & 63 & 66 \end{array}\right] $$