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

Description

Space-invariant and space-variant blurring

1. Space-invariant blurring Perform Gaussian blurring on pgm with standard deviation σ. Assume space-invariant blur and a kernel of size d6σ+1e×d6σ+1e. Observe the outputs for these values of σ: 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 σ to be

´

σ(m,n)=Aexp,                         0≤m,n≤N−1

B

with

µN N¶

σ ,          =2.0 and σ(0,0)=0.01,

2   2

where N×N is size of the image and pixel indices are in the range [0,N−1]×[0,N−1]. Find A and B, and create the matrix σ. Perform Gaussian blurring on Globe.pgm using the values of σ(m,n).

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

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

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