Question 3: 15 marks

1. Briefly describe the Digital Image Processing (DIP) techniques that are useful for detecting Thin and Thick edges in images. 6 marks

2. A Linear filter/system has an impulse response given below (1-D case): 9 marks

h(n)=[3 7 2 4 9]

Find the output response y(n) of the above system to the following 1-D input signal. Show all steps of your work for full marks.

x(n)=[8 6 5 9 1]

Question 4: 15 marks

1. Consider a hypothetical DWT Decomposition Level information given below for an image of size 1024x1024 pixels. Answer the following questions: 9 marks

Decomposition Level	Approximation Coefficient Image	Truncated Coefficients (%)	Reconstruction Error (rms)
1	512x512	80%	3.42
2	256x256	92%	4.44
3	128x128	96%	4.56
4	64x64	96.5%	4.65

1. For compression, which decomposition level is best and which is the worst and why?
2. For image reconstruction, which decomposition level is best and which is the worst and why?
3. From computational burden consideration, which decomposition level is adequate and why?

2. What is the main difference between the coefficients of Averaging operation based masks compared to Differentiation operation based masks? What is the resulting effect on the images by these two types of masks? 6 marks