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About: Image Denoising via the Redundant Wavelet Transform

Module by: Stephen Kruzick, Colleen Kenney. E-mail the authors

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Name: Image Denoising via the Redundant Wavelet Transform
ID: m18833
Language: English (en)
Summary: This report summarizes work done as part of the Wavelet Based Image Analysis PFUG under Rice University's VIGRE program. VIGRE is a program of Vertically Integrated Grants for Research and Education in the Mathematical Sciences under the direction of the National Science Foundation. A PFUG is a group of Postdocs, Faculty, Undergraduates and Graduate students formed round the study of a common problem. This module introduces the redundant discrete wavelet transform as well as two level dependent estimators that could potentially be used for image denoising, the Bishrink algorithm and the Bayesian Least Squares-Gaussian Scale Mixture algorithm. A simulation designed to evaluate the efficacies of each of these methods for the purpose of denoising astronomical image data is described, and its results are presented and discussed. This Connexions module describes work conducted as part of Rice University's VIGRE program, supported by National Science Foundation grant DMS?0739420.
Subject: Mathematics and Statistics
Keywords: Bishrink, BLS-GSM, Denoising, Redundant, Simulation, Transform, Wavelet
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 2.0
Authors: Stephen Kruzick (skruzick@andrew.cmu.edu), Colleen Kenney (ctkenney@rice.edu)
Copyright Holders: Stephen Kruzick (skruzick@andrew.cmu.edu), Colleen Kenney (ctkenney@rice.edu)
Maintainers: Stephen Kruzick (skruzick@andrew.cmu.edu), Colleen Kenney (ctkenney@rice.edu)
Latest version: 1.1 (history)
First publication date: Dec 10, 2008 8:50 am -0600
Last revision to module: Dec 10, 2008 11:05 am -0600

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Version History

Version: 1.1 Dec 10, 2008 11:05 am -0600 by Stephen Kruzick
Changes: 
This is the first version of the module to be uploaded.

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American Chemical Society (ACS) Style Guide:

Kruzick, S.; Kenney, C. Image Denoising via the Redundant Wavelet Transform, Connexions Web site. http://cnx.org/content/m18833/1.1/, Dec 10, 2008.

American Medical Assocation (AMA) Manual of Style:

Kruzick S, Kenney C. Image Denoising via the Redundant Wavelet Transform [Connexions Web site]. December 10, 2008. Available at: http://cnx.org/content/m18833/1.1/.

American Psychological Assocation (APA) Publication Manual:

Kruzick, S., & Kenney, C. (2008, December 10). Image Denoising via the Redundant Wavelet Transform. Retrieved from the Connexions Web site: http://cnx.org/content/m18833/1.1/

Chicago Manual of Style (Bibliography):

Kruzick, Stephen, and Colleen Kenney. "Image Denoising via the Redundant Wavelet Transform." Connexions. December 10, 2008. http://cnx.org/content/m18833/1.1/.

Chicago Manual of Style (Note):

Stephen Kruzick and Colleen Kenney, "Image Denoising via the Redundant Wavelet Transform," Connexions, December 10, 2008, http://cnx.org/content/m18833/1.1/.

Chicago Manual of Style (Reference, in Author-Date style):

Kruzick, S., & Kenney, C. 2008. Image Denoising via the Redundant Wavelet Transform. Connexions, December 10, 2008. http://cnx.org/content/m18833/1.1/.

Modern Languages Association (MLA) Style Manual:

Kruzick, Stephen, and Colleen Kenney. Image Denoising via the Redundant Wavelet Transform. Connexions. 10 Dec. 2008 <http://cnx.org/content/m18833/1.1/>.