EECE253_15_CorrelatedNoise

EECE253_15_CorrelatedNoise - EECE\CS 253 Image Processing...

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Unformatted text preview: EECE\CS 253 Image Processing Richard Alan Peters II Department of Electrical Engineering and Computer Science Fall Semester 2007 Lecture Notes Lecture Notes: Reduction of Correlated Noise This work is licensed under the Creative Commons Attribution-Noncommercial 2.5 License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc/2.5/ or send a letter to Creative Commons, 543 Howard Street, 5th Floor, San Francisco, California, 94105, USA. Sunday, 27 April, 2008 2 Sunday, 27 April, 2008 2 1999-2007 by Richard Alan Peters II Periodic Noise image + noise original image Sunday, 27 April, 2008 3 Sunday, 27 April, 2008 3 1999-2007 by Richard Alan Peters II Noise Reduction through Directional Blurring * = image + noise blurred image diagonal convolution mask Sunday, 27 April, 2008 4 Sunday, 27 April, 2008 4 1999-2007 by Richard Alan Peters II Power Spectrum of Image with Periodic Noise image + noise original image Sunday, 27 April, 2008 5 Sunday, 27 April, 2008 5 1999-2007 by Richard Alan Peters II image + noise Low Frequency Region original image Sunday, 27 April, 2008 6 Sunday, 27 April, 2008 6 1999-2007 by Richard Alan Peters II Noise Reduction through Notch Filtering noise mask masked power spectrum Sunday, 27 April, 2008 7 Sunday, 27 April, 2008 7 1999-2007 by Richard Alan Peters II Inverse of Masked Fourier Transform original image noise reduced image Sunday, 27 April, 2008 8 Sunday, 27 April, 2008 8 1999-2007 by Richard Alan Peters II R /2 + 1 How to determine the frequency and period of a point in the log power spectrum of an image (ex.): R C C /2 + 1 C /2 - 1 R /2 - 1 R /2 + 1 C /2 + 1 original image quadrant partition of PS loc of ( 0,0 ) in fftshift(PS) ( 0,0 ) Sunday, 27 April, 2008 9 Sunday, 27 April, 2008 9 1999-2007 by Richard Alan Peters II 241 How to determine the frequency and period of a point in the log power spectrum of an image (ex.): 480 339 170 169 239 241 170 original image quadrant partition of PS loc of ( 0,0 ) in fftshift(PS) ( 0,0 ) Sunday, 27 April, 2008 10 Sunday, 27 April, 2008 10 1999-2007 by Richard Alan Peters II How to determine the frequency and period of a point in the log power spectrum of an image: c 2 C /2 + 1 r 1 c 1 r 2 R /2 + 1-v-u v u Sunday, 27 April, 2008 11 Sunday, 27 April, 2008 11 1999-2007 by Richard Alan Peters II-v-u v u 1 2 1 2 1 2 / 1 2 / 1 2 / 1 2 / c C u C c u r R v R r v + = = + = = ( ) ( ) = = + = uR C v v R u C 1 wf wf wf 2 2 wf tan 1 How to determine the frequency and period of a point in the log power spectrum of an image: Sunday, 27 April, 2008 12 Sunday, 27 April, 2008 12 1999-2007 by Richard Alan Peters II Points on the Fourier Plane (of a Digital Image)- v direction u d i r e c t io n- d i r e c t io n ( ,0) ( ) , tan 1 wf uR vC = ( ) ( ) . 2 2 wf v R u C + = In the Fourier transform of an...
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This note was uploaded on 12/06/2011 for the course EECE 253 taught by Professor Alanpeters during the Summer '07 term at Vanderbilt.

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EECE253_15_CorrelatedNoise - EECE\CS 253 Image Processing...

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