Coherent Multiscale Image Processing using Quaternion Wavelets

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dc.citation.bibtexNamearticleen_US
dc.citation.journalTitleIEEE Transactions on Image Processingen_US
dc.contributor.authorChan, Wai Lamen_US
dc.contributor.authorChoi, Hyeokhoen_US
dc.contributor.authorBaraniuk, Richard G.en_US
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)en_US
dc.date.accessioned2007-10-31T00:39:30Z
dc.date.available2007-10-31T00:39:30Z
dc.date.issued2006-10-01en
dc.date.modified2006-10-24en_US
dc.date.submitted2006-10-24en_US
dc.descriptionJournal Paperen_US
dc.description.abstractThe quaternion wavelet transform (QWT) is a new multiscale analysis tool for geometric image features. The QWT is a near shift-invariant tight frame representation whose coefficients sport a magnitude and three phases: two phases encode local image shifts while the third contains image texture information. The QWT is based on an alternative theory for the 2-D Hilbert transform and can be computed using a dual-tree filter bank with linear computational complexity. To demonstrate the properties of the QWT's coherent magnitude/phase representation, we develop an efficient and accurate procedure for estimating the local geometrical structure of an image. We also develop a new multiscale algorithm for estimating the disparity between a pair of images that is promising for image registration and flow estimation applications. The algorithm features multiscale phase unwrapping, linear complexity, and sub-pixel estimation accuracy.en_US
dc.identifier.citationW. L. Chan, H. Choi and R. G. Baraniuk, "Coherent Multiscale Image Processing using Quaternion Wavelets," <i>IEEE Transactions on Image Processing,</i> 2006.
dc.identifier.urihttps://hdl.handle.net/1911/19786
dc.language.isoeng
dc.relation.projecthttp://www.dsp.rice.edu/software/qwt.shtmlen_US
dc.relation.softwarehttp://www.dsp.rice.edu/software/qwt.shtmlen_US
dc.subjectquaternion*
dc.subjectcomplex*
dc.subjectwavelet transform*
dc.subjectphase*
dc.subjectdisparity estimation*
dc.subject.keywordquaternionen_US
dc.subject.keywordcomplexen_US
dc.subject.keywordwavelet transformen_US
dc.subject.keywordphaseen_US
dc.subject.keyworddisparity estimationen_US
dc.subject.otherWavelet based Signal/Image Processingen_US
dc.titleCoherent Multiscale Image Processing using Quaternion Waveletsen_US
dc.typeJournal article
dc.type.dcmiText
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