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Jan 9, 2024
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1
ELEC 444/6661 Medical Image Processing Midterm, 2018
Time allotted: 105 min. From 12:00noon to 1:45PM
A 1-sided letter size crib sheet allowed.
Answer on this question booklet. Material written elsewhere will NOT be graded.
ENCS tagged calculator is allowed
4 pages, 8 questions, 20 points total
Assumes all codes are in MATLAB.
1)
What is
V3
after running the following code (1 points)?
no need to explain, just circle the answer
V1 = [0, 3; 1, 2];
V2 = [1, 1; 2, -1];
V3 = V1 .* V2;
a)
[0, 3; 1, 2]
b)
[0, 3; 2, -2];
c) 2
d)
[1, 1; 2, -1];
e) error message. Operation not allowed in Matlab
2)
Assume we have
I0
, the 3x4 image shown below, where the intensity of each pixel is provided.
1
0
2
2
2
2
1
2
1
2
1
5
a)
Fill out column 2 of table below, which can be considered a histogram of
I0
(1 point).
b)
Perform discrete histogram equalization to fill out the 3rd column. The final intensity must
remain integer. (2 point). Show your work
Intensity of
I0
Number of pixels in
I0
Intensity after histogram equalization
0
1
2
3
4
5
a)
Fill out the pixel intensities below after histogram equalization (1 point).
_
_
_
_
2
3)
Let
I1
be a 3D T1 MRI volume of brain. What is the difference between the following two
histograms (explain in one line only) (1 point)
a)
hist(I1(:))
b)
J = flipdim(I1,1); J = flipdim(J,2); J = flipdim(J,3); hist(J(:))
For the following 2 questions, assume:
function output_I = func_operation(input_I, J)
vec = [0.5, 0, -0.5];
output_I = input_I;
for j = 1:J
output_I = conv2(output_I, vec,'same');
end
4)
Let
I0
be a T1 MRI image from BrainWeb, and let I1 and I2 be defined as following:
I1 = func_operation (I0,1);
I2 =
func_operation (I0’,1);
I2 = I2’;
I3 = func_operation (I0,2);
Explain the following (each in 1 line only):
a)
What is
I1
(1 point)?
b)
What is
I2
(1 point)?
c)
What is
I3
(1 point)?
d)
What is the difference between
I1
and
I2
(if there is negligible difference explain why) (1
point)?
e)
What is the difference between
I1
and
I3
(if there is negligible difference explain why) (1
point)?
5)
Again, let
I0
be a T1 MRI image from BrainWeb. Explain in 1 line what is the difference
between
I1
and
I2
(if there is negligible difference explain why) (2 points):
I1 =
func_operation (I0,1);
I2 =
func_operation (I1,1); % note function input is I1
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