Noncoherent image denoising

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dc.contributor.advisorOrchard, Michael T.
dc.creatorHua, Gang
dc.date.accessioned2009-06-04T06:58:53Z
dc.date.available2009-06-04T06:58:53Z
dc.date.issued2005
dc.description.abstractThe techniques of Translation Invariant (TI) denoising and statistical modeling are widely used in image denoising. This thesis studies how these techniques exploit location information in images and identifies a class of noncoherent image denoising algorithms. We analyze the performance of TI denoising from the perspective of cyclic-basis reconstruction. It shows that TI denoising achieves an average performance without direct estimation of location information. Motivated by this perspective, we propose a Redundant Quaternion Wavelet Transform (RQWT) which both avoids aliasing and separates local signal energy and location information into quaternion magnitude and phases respectively. RQWT is a natural framework for studying the statistical models in noncoherent image denoisers, because they all ignore quaternion phases. Straightforward signal estimation in the RQWT framework closely matches the state-of-the-art noncoherent image denoisers and provides a natural bound on their performance, thereby showing the importance of exploring location information in quaternion phases.
dc.format.extent60 p.en_US
dc.format.mimetypeapplication/pdf
dc.identifier.callnoTHESIS E.E. 2005 HUA
dc.identifier.citationHua, Gang. "Noncoherent image denoising." (2005) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/17859">https://hdl.handle.net/1911/17859</a>.
dc.identifier.urihttps://hdl.handle.net/1911/17859
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.subjectElectronics
dc.subjectElectrical engineering
dc.titleNoncoherent image denoising
dc.typeThesis
dc.type.materialText
thesis.degree.departmentElectrical Engineering
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Science
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