Homework-5
Question 1
You are given the following picture:
P =
8 8 8
8 8
8 8 8 8
What picture is obtained if noise cleaning is applied to P, using the technique of smoothing with the following
mask:
0.25 0.25
0.25 0.25
What picture is obtained if noise cleaning is applied to P, performed by median filtering over a cross shaped
neighborhood as shown below:
X
X X X
X
Question 2
The picture P is specified below:
P =
x = 0 x = 1 x = 2 x = 3 x = 4 x = 5 x = 6 x = 7
y = 0 0 0 0 9 9 9 9 9
y = 1 0 0 0 9 9 9 9 9
y = 2 0 0 0 9 9 9 9 9
y = 3 0 0 0 9 9 9 9 9
y = 4 0 0 0 9 9 9 9 9
y = 5 0 0 0 9 9 9 9 9
y = 6 0 0 0 9 9 9 9 9
A.
What picture is obtained if noise cleaning is applied to P, using the technique of smoothing with the following
mask:
1
9
1 1 1
1 1 1
1 1 1
Compute the answer only for the window of 3 rows and 5 columns specified below.
x = 1 x = 2 x = 3 x = 4 x = 5
y = 2
y = 3
y = 4
B.
What picture is obtained if noise cleaning is applied to P, performed by median filtering over a cross shaped
neighborhood as shown below:
X
X X X
X
Compute the answer only for the window of 3 rows and 5 columns specified below.
x = 1 x = 2 x = 3 x = 4 x = 5
y = 2
y = 3
y = 4
C.
What picture is obtained if the Sobel edge detection technique is applied to P ?
Compute the answer only for the window of 3 rows and 5 columns specified below.
x = 1 x = 2 x = 3 x = 4 x = 5
y = 2
y = 3
y = 4
