Problem$-4$: $(45=20$ points$)$ An $8-$bit gray$-$scale $33$ image is given on the right side.

For each of the following filters having $33$ kernel size, give the output image $($please don't forget to use zero padding $!)$

a$-)$ Arithmetic Mean filter

$\backslash$table$[[25,10,10],[25,10,40],[10,15,35]]$

b$-)$ Min filter

c$-)$ Max filter

d$-)$ Median filter