EECE253_14_UncorrelatedNoise

EECE253_14_UncorrelatedNoise - EECE\CS 253 Image Processing...

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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 Uncorrelated 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.
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Tuesday, December 6, 2011 2 Tuesday, December 6, 2011 2 1999-2007 by Richard Alan Peters Noise in Images All images created through optical projection onto a sensor array are noisy. Uncorrelated noise Quantum noise in CCD arrays Silver halide grains in film photography Neuronal noise in a retina Quantization noise in digital photographs Correlated noise Due to electrical interference Due to source / sensor interference Halftone distortion / moiré patterns
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Tuesday, December 6, 2011 3 Tuesday, December 6, 2011 3 1999-2007 by Richard Alan Peters Image with Additive Noise ( 29 ( 29 ( 29 . , N , I , J c r c r c r + = undegraded  image undegraded  image noisy  image noisy  image additive noise additive noise undegraded  image undegraded  image noisy  image noisy  image additive noise additive noise ( 29 ( 29 ( 29 . , , , u v u v u v N I J + = spatial domain frequency domain
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Tuesday, December 6, 2011 4 Tuesday, December 6, 2011 4 1999-2007 by Richard Alan Peters Uncorrelated Noise Intensity distributions –  normalized histograms Intensity distributions –  normalized histograms Each pixel’s value has probability of occurrence given by the associated distribution.
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Tuesday, December 6, 2011 5 Tuesday, December 6, 2011 5 1999-2007 by Richard Alan Peters Uncorrelated Noise Each pixel’s value has probability of occurrence given by the associated distribution. … black pixels occur 75% of  the time and … black pixels occur 75% of  the time and white pixels occur 25%  of the time. white pixels occur 25%  of the time. All values occur with equal  probability. All values occur with equal  probability. This is sparse noise: Only  12.5% of the pixels contain  noise.  Of those 12.5% … This is sparse noise: Only  12.5% of the pixels contain  noise.  Of those 12.5% … The most likely value is 128 with an  average difference of 25 from 128 (std.  dev.). The most likely value is 128 with an  average difference of 25 from 128 (std.  dev.). Intensity distributions –  normalized histograms Intensity distributions –  normalized histograms
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Tuesday, December 6, 2011 6 Tuesday, December 6, 2011 6 1999-2007 by Richard Alan Peters Uncorrelated Color Noise: Gaussian
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Tuesday, December 6, 2011 7 Tuesday, December 6, 2011 7 1999-2007 by Richard Alan Peters Uncorrelated Color Noise: Uniform
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Tuesday, December 6, 2011 8 Tuesday, December 6, 2011 8 1999-2007 by Richard Alan Peters Gaussian IID Noise Field μ = 128 σ = 32 IID: Independent, Identically Distributed IID   no spatial  correlation IID   no spatial  correlation
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Tuesday, December 6, 2011 9 Tuesday, December 6, 2011 9
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EECE253_14_UncorrelatedNoise - EECE\CS 253 Image Processing...

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