Directional Complex-Wavelet Processing

dc.citation.bibtexNameinproceedingsen_US
dc.citation.conferenceNameWavelet Applications in Signal and Image Processingen_US
dc.contributor.authorFernandes, Felixen_US
dc.contributor.authorvan Spaendonck, Rutgeren_US
dc.contributor.authorBurrus, C. Sidneyen_US
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)en_US
dc.date.accessioned2007-10-31T00:43:37Zen_US
dc.date.available2007-10-31T00:43:37Zen_US
dc.date.issued2000-08-20en_US
dc.date.modified2003-04-22en_US
dc.date.note2001-08-17en_US
dc.date.submitted2000-08-20en_US
dc.descriptionConference Paperen_US
dc.description.abstractPoor directional selectivity, a major disadvantage of the separable 2D discrete wavelet transform (DWT), has previously been circumvented either by using highly redundant, nonseparable wavelet transforms or by using restrictive designs to obtain a pair of wavelet trees. In this paper, we demonstrate that superior directional selectivity may be obtained with no redundancy in any separable wavelet transform. We achieve this by projecting the wavelet coefficients to separate approximately the positive and negative frequencies. Subsequent decimation maintains non-redundancy. A novel reconstruction step guarantees perfect reconstruction within this critically-sampled framework. Although our transform generates complex-valued coefficients, it may be implemented with a fast algorithm that uses only real arithmetic. We also explain how redundancy may be judiciously introduced into our transform to benefit certain applications. To demonstrate the efficacy of our projection technique, we show that it achieves state-of-the-art performance in a seismic image-processing application.en_US
dc.identifier.citationF. Fernandes, R. van Spaendonck and C. S. Burrus, "Directional Complex-Wavelet Processing," 2000.en_US
dc.identifier.doihttp://dx.doi.org/10.1117/12.408642en_US
dc.identifier.urihttps://hdl.handle.net/1911/19877en_US
dc.language.isoengen_US
dc.subjectdirectional selectivityen_US
dc.subjectseparable 2D discrete wavelet transform (DWT)en_US
dc.subjectimage processingen_US
dc.subject.keyworddirectional selectivityen_US
dc.subject.keywordseparable 2D discrete wavelet transform (DWT)en_US
dc.subject.keywordimage processingen_US
dc.subject.otherWavelet based Signal/Image Processingen_US
dc.titleDirectional Complex-Wavelet Processingen_US
dc.typeConference paperen_US
dc.type.dcmiTexten_US
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