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EECE-5626 Homework-1 solution

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Problem-1: DIP4E Problem 2.10
Solution:
Problem-2: DIP4E Problem 2.13
Solution:
(a)
(b)
Problem-3: DIP4E Problem 2.52
1
Solution:
(a)
(b)
(c)
Problem-4: DIP4E Project 2.10
Solution:
Problem-5: DIPUM3E Matlab Projects 2.3 and 2.6
Solution:
(a) MP 2.3:
(b) MP 2.6:
Problem-6: DIPUM3E Matlab Project 2.8
Solution:
Problem-7
Let be an input image, be an impulse response, and be the corresponding output image
obtained via the 2-D convolution. Prove the following volume conservation property:
2
Proof:
Problem-8
Consider the following two-dimensional signal , where the bracketed element denotes the location
(a) Determine the convolution of with each of the following signals
i.
Solution :
ii.
Solution :
iii.
Solution :
(b) Verify your answers in each case via the volume conservation property proved in Problem 7 above.
Solution :
3