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Adaptive wavelet transforms via lifting

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dc.contributor.advisor Baraniuk, Richard G.
dc.creator Claypoole, Roger L., Jr
dc.date.accessioned 2009-06-04T06:46:59Z
dc.date.available 2009-06-04T06:46:59Z
dc.date.issued 2000
dc.identifier.uri http://hdl.handle.net/1911/19482
dc.description.abstract Wavelet 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.
dc.format.extent 76 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subject Engineering, Electronics and Electrical
dc.title Adaptive wavelet transforms via lifting
dc.type.genre Thesis
dc.type.material Text
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation Claypoole, Roger L., Jr. (2000) "Adaptive wavelet transforms via lifting." Doctoral Thesis, Rice University. http://hdl.handle.net/1911/19482.

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