[Solved] EE5175 Lab3 -Space-invariant and space-variant blurring

Space-invariant and space-variant blurring

1. Space-invariant blurring Perform Gaussian blurring on pgm with standard deviation . Assume space-invariant blur and a kernel of size d6+1ed6+1e. Observe the outputs for these values of : 1.6, 1.2, 1.0, 0.6, 0.3 and 0.0.
2. Space-variant blurring Now assume the blur to be space-variant, i.e. the standard deviation varies for each pixel. Consider the distribution of to be

(m,n)=Aexp, 0m,nN1

B

with

N N

, =2.0 and (0,0)=0.01,

2 2

where NN is size of the image and pixel indices are in the range [0,N1][0,N1]. Find A and B, and create the matrix . Perform Gaussian blurring on Globe.pgm using the values of (m,n).

3. Blur pgm using
   • space-invariant blur code of part 1 with =0, and
   • space-variant blur code of part 2 with (m,n⁾=0 for ⁰m,^nN1.

Verify that the blurred images of the above two steps are same.

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