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dc.contributor.authorRomberg, Justin
Wakin, Michael
Baraniuk, Richard G.
dc.creatorRomberg, Justin
Wakin, Michael
Baraniuk, Richard G. 2007-10-31T01:02:57Z 2007-10-31T01:02:57Z 2003-07-01 2003-07-01
dc.identifier.citation J. Romberg, M. Wakin and R. G. Baraniuk, "Multiscale Geometric Image Processing," 2003.
dc.description Conference Paper
dc.description.abstract Since their introduction a little more than 10 years ago, wavelets have revolutionized image processing. Wavelet based algorithms define the state-of-the-art for applications including image coding (JPEG2000), restoration, and segmentation. Despite their success, wavelets have significant shortcomings in their treatment of edges. Wavelets do not parsimoniously capture even the simplest geometrical structure in images, and wavelet based processing algorithms often produce images with ringing around the edges. As a first step towards accounting for this structure, we will show how to explicitly capture the geometric regularity of contours in cartoon images using the wedgelet representation and a multiscale geometry model. The wedgelet representation builds up an image out of simple piecewise constant functions with linear discontinuities. We will show how the geometry model, by putting a joint distribution on the orientations of the linear discontinuities, allows us to weigh several factors when choosing the wedgelet representation: the error between the representation and the original image, the parsimony of the representation, and whether the wedgelets in the representation form "natural" geometrical structures. Finally, we will analyze a simple wedgelet coder based on these principles, and show that it has optimal asymptotic performance for simple cartoon images.
dc.language.iso eng
geometrical modeling
dc.subject.otherMultiscale Methods
dc.title Multiscale Geometric Image Processing
dc.type Conference paper 2003-05-13
dc.citation.bibtexName inproceedings 2006-06-05
dc.contributor.orgDigital Signal Processing (
geometrical modeling
dc.citation.location Lugano, Switzerland
dc.citation.conferenceName SPIE Visual Communications and Image Processing
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  • DSP Publications [508]
    Publications by Rice Faculty and graduate students in digital signal processing.
  • ECE Publications [1278]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students

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