Directional Hypercomplex Wavelets for Multidimensional Signal Analysis and Processing

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dc.citation.bibtexNameinproceedingsen_US
dc.citation.conferenceNameIEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)en_US
dc.citation.firstpage996
dc.citation.lastpage999
dc.citation.locationMontreal, Quebec, Canadaen_US
dc.citation.volumeNumber3en_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.accessioned2007-10-31T00:39:56Z
dc.date.available2007-10-31T00:39:56Z
dc.date.issued2004-05-01en
dc.date.modified2006-07-19en_US
dc.date.note2004-03-27en_US
dc.date.submitted2004-05-01en_US
dc.descriptionConference Paperen_US
dc.description.abstractWe extend the wavelet transform to handle multidimensional signals that are smooth save for singularities along lower-dimensional manifolds. We first generalize the complex wavelet transform to higher dimensions using a multidimensional Hilbert transform. Then, using the resulting <i>hypercomplex wavelet transform</i> (HWT) as a building block, we construct new classes of nearly shift-invariant wavelet frames that are oriented along lower-dimensional subspaces. The HWT can be computed efficiently using a 1-D dual-tree complex wavelet transform along each signal axis. We demonstrate how the HWT can be used for fast line detection in 3-D.en_US
dc.identifier.citationW. L. Chan, H. Choi and R. G. Baraniuk, "Directional Hypercomplex Wavelets for Multidimensional Signal Analysis and Processing," vol. 3, 2004.
dc.identifier.doihttp://dx.doi.org/10.1109/ICASSP.2004.1326715en_US
dc.identifier.urihttps://hdl.handle.net/1911/19796
dc.language.isoeng
dc.subjectmultidimensional wavelet transform*
dc.subjectHilbert transform*
dc.subjecthypercomplex*
dc.subjectquaternions*
dc.subject.keywordmultidimensional wavelet transformen_US
dc.subject.keywordHilbert transformen_US
dc.subject.keywordhypercomplexen_US
dc.subject.keywordquaternionsen_US
dc.subject.otherWavelet based Signal/Image Processingen_US
dc.titleDirectional Hypercomplex Wavelets for Multidimensional Signal Analysis and Processingen_US
dc.typeConference paper
dc.type.dcmiText
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