Adaptive wavelet transforms via lifting

dc.contributor.advisorBaraniuk, Richard G.en_US
dc.creatorClaypoole, Roger L., Jren_US
dc.date.accessioned2009-06-04T06:46:59Zen_US
dc.date.available2009-06-04T06:46:59Zen_US
dc.date.issued2000en_US
dc.description.abstractWavelet transforms have proven very useful for a variety of signal and image processing tasks. The wedgelet transform also shows promise for certain edge-dominated images. However, in many applications we desire to introduce adaptivity and non-linearities into the transforms. These are powerful extensions, but difficult to control within the wavelet framework. The lifting scheme provides a new, spatial intuition into the wavelet transform that simplifies the introduction of adaptivity. In this thesis, we develop several new adaptive wavelet transforms and adaptive multiresolution wedgelet transforms. The lifting construction permits control over the multiresolution properties of these transforms despite the adaptivity. We demonstrate the power of our new adaptive lifted transforms with successful applications to signal denoising and compression problems.en_US
dc.format.extent76 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS E.E. 2000 CLAYPOOLEen_US
dc.identifier.citationClaypoole, Roger L., Jr. "Adaptive wavelet transforms via lifting." (2000) Diss., Rice University. <a href="https://hdl.handle.net/1911/19482">https://hdl.handle.net/1911/19482</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/19482en_US
dc.language.isoengen_US
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.en_US
dc.subjectElectronicsen_US
dc.subjectElectrical engineeringen_US
dc.titleAdaptive wavelet transforms via liftingen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentElectrical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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