ECE 6364 Spring 2012 HW 5
Problem 1. Digital image (1) below shows a step-edge in the presence of noise.
Digital image (2) below shows a bright vertical line against a noisy dark background.
(A) Apply 1st-order neighborhood averaging to both images.
(B) A
ECE 6364 Spring 2012 HW 7 Due 3/29
Problem 1.
Jain Problem 5.7
r
cos( ) sin( )
r
r
r v1
Use v = A u with A =
and v = vr
sin( ) cos( )
2
r 2
r
Find the angle that maximizes E (v1 ) the mean energy compressed in v1 (this is what the author intended)
ECE 6364 Spring 2012 HW 2
Problem 1. Fundamentals of Digital Image Processing - Jain: Problem 2.5 a
Problem 2. Fundamentals of Digital Image Processing - Jain: Problem 2.14 a
1 2 2
. Is the matrix A : a) symmetric? b) toeplitz?
8 2 2
c) circulant? d) si
ECE 6364 Spring 2012 HW 6
Problem 1.
cfw_ k
Given the following four 2x2 basis images A k =0,1,2,3 of a 2-D unitary transform, find the 2x2 coefficient image
V obtained by applying the transform to image U .
8 4
U=
5 1
0
A =
1 4 4
5 2 3 3
1
A =
1 4 4
5 2
ECE 6364 Spring 2012 HW 8 Due 4/12
Problem 1. You want to both equalize and sharpen an image. Does it matter which you do first? Why or why not?
Problem 2. a) Compute ( A erode B )
b) Compute ( A dilate B )
0 [1]
0 1
0 1
A =
1 1
0 1
0 1
0
1
1
1
1
1
0
0
1
ECE 6364 Spring 2012 HW 3
Problem 1.
Fundamentals of Digital Image Processing - Jain: Problem 2.4 a,b,c,d
Problem 2.
Fundamentals of Digital Image Processing - Jain: Problem 4.2
Problem 3.
Fundamentals of Digital Image Processing - Jain: Problem 4.3
1
1
ECE 6364 Spr 2012 HW 4
Problem 1.
0.5
(A) The continuous 2-D input/output system g ( x, y ) = 1.0 +
| f ( x, y ) | d is ( causal / non-causal ).
0.5
0.5
(B) Find the impulse response for continuous 2-D input/ouput system g ( x, y ) = 1.0 +
| f ( x , y )
ECE 6364 Spring 2012 HW 1 Due 1/26
Problem 1 Answer the following
[ 2] 3 1
a) Where X = 4 8 5 and X(0,0) = 2 is the bracketed entry, using matrix-indexing X(1,2) = ? ; using image 7 9 6
indexing X(1,2) = ?
r
b) form row-ordered vector x from X
r
c) form c
ECE 6364 Spring 2012 HW 09 Due 4/24
Problem 1.
In the derivation of the Wiener filter for restoring a continuous image under the continuous/continuous model,
show that
S fg (u, v) = H * (u, v) S ff (u, v)
Problem 2.
In the derivation of the Wiener filter