Digital Image processing Homework 4

Jheng-Ping Lin

Visual Communications Lab

Department of Communication Engineering

National Central University

Jhongli,Taiwan

December 11, 2008

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Image Restoration for Image Blurring

DeblurringFilter

Blurred Image Restoration

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Degradation Function (1/2)

65

22 )v(u -e v)H(u,

function. Degrdation : v)H(u,

image. orignal of Spectrum :v)F(u,

image. blurred of Spectrum :v)G(u,

v)v)F(u,H(u,v)G(u,

K

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Degradation Function (1/2)K=0.01 K=0.008

K=0.005 K=0.001

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Image Blurring due to Different K

Original Image

K=0.01 K=0.008

K=0.005 K=0.001

Deblurring for Image Blurring

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DFT (FFT)

K

v)G(u,

v)H(u,

v)G(u,

IDFT(IFFT

)

Blurred Image

v)(u,F'Restoration

Problems on Implement (1/2)

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Blurred Image Error Image

H (u, v)

Close to zero

Problems on Implement (2/2)

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DFT (FFT)

K

v)G(u,

IDFT(IFFT

)

Blurred Image

v)(u,F'

0.01 v)H(u, v),G(u,

0.01 v)H(u, , v)H(u,

v)G(u,

v)(u,F'

Restoration

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Homework Assignment

Part 1 (80%): Image restoration for K=0.0025.

Part 2 (20%): Image restoration for unknown K.

Blurred image download link: http://140.115.156.251/vclab/html/DIP2008.html

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Deadline

Demo : 2008/12/24, 8:00~9:00 pm

Report : 2008/12/24, 6:00 pm

Email: 965203025@cc.ncu.edu.tw

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References

Rafael C. Gonzalez, Richard E. Woods, “Digital Image Processing 3rd”, pp. 346-351, August, 2008.