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Wavelets: A Countable Orthonormal Basis for the Space of Square-Integrable Functions
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Statistics
Image Denoising via the Redundant Wavelet Transform
(m18833)
Authors:
Stephen Kruzick
,
Colleen Kenney
Keywords:
Bishrink
,
BLS-GSM
,
Denoising
,
Redundant
,
Simulation
,
Transform
,
Wavelet
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 ... grant DMS?0739420.
[Expand 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.
[Collapse Summary]
Subject:
Mathematics and Statistics
Language:
English
Popularity:
81.14%
Revised:
2008-12-10
Revisions:
New
Popularity is measured as percentile rank of page views/day over all time
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