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TitleWavelets on Planar Tessellations (In Proceedings)
inProceedings of The 2000 International Conference on Imaging Science, Systems, and Technology
Author(s) Martin Bertram, Mark A. Duchaineau, Bernd Hamann, Ken Joy
Editor(s) H. R. Arabnia, F.-X. Coudoux, Y. Mun, G.P. Power, M. Sarfraz, Q. Zhu
Keyword(s)Image Compression, Multiresolution Methods, Subdivision Surfaces, Tesselations, Wavelets
Year 2000
LocationLas Vegas, Nevada
DateJune 26--29, 2000
PublisherComputer Science Research, Education and Applications Presss
AddressAthens, Georgia
Pages619--625
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Abstract We present a new technique for progressive C0-continuous approximation and compression of polygonal objects in images. Our technique uses local parametrizations defined by meshes of convex polygons in the plane. We generalize a lifted biorthogonal wavelet transform to polygonal domains to perform multiresolution analysis and compression of image regions. The advantage of our technique over conventional wavelet methods is that the domain is an arbitrary tesselation rather than a rectilinear grid. We expect that this technique has many applications image compression, progressive transmission, radiosity, virtual reality, and image morphing.