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Assume that an input image has the following 6 x 6 pixels 3 4 4 4 5 5 4 7 3 1 1 3 2

Assume that an input image has the following 6 x 6 pixels

3

4

4

4

5

5

4

7

3

1

1

3

2

8

4

7

0

2

5

2

3

8

1

7

6

1

2

3

2

6

7

4

5

5

3

4

And we have two filters, a vertical edge filter, F1, as

1

0

-1

1

0

-1

1

0

-1

And, a horizontal edge filter, F2:

1

1

1

0

0

0

-1

-1

-1

When the input image is convolved with the filter F1, we get the following 4 by 4 output (before any bias or activation function may apply):

a

b

c

d

e

f

g

h

i

j

k

l

m

n

o

p

a: b: c: d: e: f: g: h: i: j: k: l: m: n: o: p:

Now we use the horizontal filter, F2. Fill out the blanks for the values of the output:

a=

b=

c=

d=

e=

f=

g=

h=

i=

j=

k=

l=

m=

n=

o=

p=

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