## Description

Reading Assignment: Chapters 1 and 2 from DIP4E and DSPUM3E.

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