1a
f * g :2 0 -4 0 2 0 4 -6 4 -6 4 0 4 -8 6 -4 6 -8 4
1b
if you flipped h(x) you get [-1 1 1]
f * h :2 6 4 -2 -2 0 4 6 2 2 -4 0 4 4 -2 2 2 4 -4
if you did not h(x) you get [1 1 -1] (-0.5 points)
f * h2 :-2 -2 4 6 2 0 -4 2 2 6 4 0 -4 4 2 2 -2 4 4
2a zero padding
0 0 0 5 0 5 0 5 0 5 0 0
1 2 2 3 2 3 2 2
2b clamping
0 0 0 5 0 5 0 5 0 5 5 5
1 2 2 3 2 3 3 4
2c mirroring
5 0 0 5 0 5 0 5 0 5 5 0
2 2 2 3 2 3 3 3
0 5 0 5 0 5 0 5 0 5 0 5
2 3 2 3 2 3 2 3
2d re-normalization
0 5 0 5 0 5 0 5
5/3 5/2 2 3 2 3 5/2 10/3
3a
|1 1 1 1 1|
|1 1 1 1 1|
1/25*|1 1 1 1 1|
|1 1 1 1 1|
|1 1 1 1 1|
3b
|1 3 8 3 1|
|3 9 24 9 3|
1/256*|8 24 64 24 8|
|3 9 24 9 3|
|1 3 8 3 1|
3c
| 1 -1 2 -1 1|
|-1 1 -2 1 -1|
1/4*| 2 -2 4 -2 2|
|-1 1 -2 1 -1|
| 1 -1 2 -1 1|
4 a b
2.5 8 4
2.75 8 6
3 8 8
3.5 8 8
Remember you need to flip the kernel
you get 0 8 8 8 for part A if you did not (-0.5 point)