Question

In image processing, filtering an image is replacing each pixel with a linear combination of its neighbors. This process can be accomplished through convolution of the image with convolution filters called kernels. A mathematical model for the convolution process is: gx,y = ∑i=-n ∑j=-m hi,j * I(x-i, y-j) Explain in detail at least two applications of filtering in image processing. [10 marks] With the aid of a neat diagram, explain in detail the convolution process. [10 marks] Apply the convolution method to filter image I: I = 23 56 13 52 51 23 24 74 32 52 05 14 51 78 12 0 13 21 85 15 59 81 65 49 55 45 52 76 65 48 46 82 89 98 112 92 110 154 105 96 126 with kernel: h = 1 0 -1 0 0 0 -1 0 1 [25 marks] Validate your result using Matlab. [5 marks]

          In image processing, filtering an image is replacing each pixel with a linear combination of its neighbors. This process can be accomplished through convolution of the image with convolution filters called kernels. A mathematical model for the convolution process is:

gx,y = ∑i=-n ∑j=-m hi,j * I(x-i, y-j)

Explain in detail at least two applications of filtering in image processing. [10 marks]

With the aid of a neat diagram, explain in detail the convolution process. [10 marks]

Apply the convolution method to filter image I:

I = 23 56 13 52 51 23 24 74 32 52 05 14 51 78 12 0 13 21 85 15 59 81 65 49 55 45 52 76 65 48 46 82 89 98 112 92 110 154 105 96 126

with kernel:

h = 1 0 -1 0 0 0 -1 0 1

[25 marks]

Validate your result using Matlab. [5 marks]

Added by Lauren I.

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