Multiscale Edge Grammars for Complex Wavelet Transforms

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dc.citation.bibtexNameinproceedingsen_US
dc.citation.conferenceNameIEEE International Conference on Image Processingen_US
dc.citation.firstpage614en_US
dc.citation.lastpage617en_US
dc.citation.locationThessaloniki, Greeceen_US
dc.citation.volumeNumber1en_US
dc.contributor.authorRomberg, Justinen_US
dc.contributor.authorChoi, Hyeokhoen_US
dc.contributor.authorBaraniuk, Richard G.en_US
dc.contributor.orgCenter for Multimedia Communications (http://cmc.rice.edu/)en_US
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)en_US
dc.date.accessioned2007-10-31T01:02:43Zen_US
dc.date.available2007-10-31T01:02:43Zen_US
dc.date.issued2001-10-01en_US
dc.date.modified2006-06-21en_US
dc.date.note2002-07-10en_US
dc.date.submitted2001-10-01en_US
dc.descriptionConference Paperen_US
dc.description.abstractWavelet domain algorithms have risen to the forefront of image processing. The power of these algorithms is derived from the fact that the wavelet transform restructures the image in a way that makes statistical modeling easier. Since the edge singularities in an image account for the most important information, understanding how edges behave in the wavelet domain is the key to modeling. In the past, wavelet-domain statistical models have codified the tendency for wavelet coefficients representing and edge to be large across scale. In this paper, we use the complex wavelet transform to uncover the phase behavior of wavelet coefficients representing an edge. This allows us to design a hidden Markov tree model that can discriminate between large magnitude wavelet coefficients caused by texture regions in the signal, and ones caused by edges.en_US
dc.description.sponsorshipDefense Advanced Research Projects Agencyen_US
dc.description.sponsorshipOffice of Naval Researchen_US
dc.description.sponsorshipNational Science Foundationen_US
dc.identifier.citationJ. Romberg, H. Choi and R. G. Baraniuk, "Multiscale Edge Grammars for Complex Wavelet Transforms," vol. 1, 2001.en_US
dc.identifier.doihttp://dx.doi.org/10.1109/ICIP.2001.959120en_US
dc.identifier.urihttps://hdl.handle.net/1911/20298en_US
dc.language.isoengen_US
dc.subjectcomplex waveletsen_US
dc.subjectphase structureen_US
dc.subjectedge detectionen_US
dc.subject.keywordcomplex waveletsen_US
dc.subject.keywordphase structureen_US
dc.subject.keywordedge detectionen_US
dc.subject.otherWavelet based Signal/Image Processingen_US
dc.subject.otherMultiscale Methodsen_US
dc.titleMultiscale Edge Grammars for Complex Wavelet Transformsen_US
dc.typeConference paperen_US
dc.type.dcmiTexten_US
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