Approximation and Compression of Piecewise Smooth Images Using a Wavelet/Wedgelet Geometric Model

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dc.citation.bibtexNameinproceedingsen_US
dc.citation.conferenceNameIEEE International Conference on Image Processingen_US
dc.citation.firstpageI-49en_US
dc.citation.lastpageI-52en_US
dc.citation.locationBarcelona, Spainen_US
dc.citation.volumeNumber1en_US
dc.contributor.authorRomberg, Justinen_US
dc.contributor.authorWakin, Michaelen_US
dc.contributor.authorBaraniuk, Richard G.en_US
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)en_US
dc.date.accessioned2007-10-31T01:03:00Zen_US
dc.date.available2007-10-31T01:03:00Zen_US
dc.date.issued2003-09-01en_US
dc.date.modified2006-07-19en_US
dc.date.note2003-05-13en_US
dc.date.submitted2003-09-01en_US
dc.descriptionConference paperen_US
dc.description.abstractInherent to photograph-like images are two types of structures: large smooth regions and geometrically smooth edge contours separating those regions. Over the past years, efficient representations and algorithms have been developed that take advantage of each of these types of structure independently: quadtree models for 2D wavelets are well-suited for uniformly smooth images (C² everywhere), while quadtree-organized <i>wedgelet</i> approximations are appropriate for purely geometrical images (containing nothing but C² contours). This paper shows how to <i>combine</i> the wavelet and wedgelet representations in order to take advantage of both types of structure simultaneously. We show that the asymptotic approximation and rate-distortion performance of a wavelet-wedgelet representation on piecewise smooth images mirrors the performance of both wavelets (for uniformly smooth images) and wedgelets (for purely geometrical images). We also discuss an efficient algorithm for fitting the wavelet-wedgelet representation to an image; the convenient quadtree structure of the combined representation enables new algorithms such as the recent WSFQ geometric image coder.en_US
dc.identifier.citationJ. Romberg, M. Wakin and R. G. Baraniuk, "Approximation and Compression of Piecewise Smooth Images Using a Wavelet/Wedgelet Geometric Model," vol. 1, 2003.en_US
dc.identifier.doihttp://dx.doi.org/10.1109/ICIP.2003.1246895en_US
dc.identifier.urihttps://hdl.handle.net/1911/20303en_US
dc.language.isoengen_US
dc.subjectimage geometryen_US
dc.subjectwedgeletsen_US
dc.subjectwaveletsen_US
dc.subjectimage compressionen_US
dc.subjectpiecewise smooth imagesen_US
dc.subjectnonlinear approximationen_US
dc.subject.keywordimage geometryen_US
dc.subject.keywordwedgeletsen_US
dc.subject.keywordwaveletsen_US
dc.subject.keywordimage compressionen_US
dc.subject.keywordpiecewise smooth imagesen_US
dc.subject.keywordnonlinear approximationen_US
dc.subject.otherWavelet based Signal/Image Processingen_US
dc.titleApproximation and Compression of Piecewise Smooth Images Using a Wavelet/Wedgelet Geometric Modelen_US
dc.typeConference paperen_US
dc.type.dcmiTexten_US
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