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Surflets: A Sparse Representation for Multidimensional Functions Containing Smooth Discontinuities
Discontinuities in data often provide vital information, and representing these discontinuities sparsely is an important goal for approximation and compression algorithms. Little work has been done on efficient representations ...
Representation and Compression of Multi-Dimensional Piecewise Functions Using Surflets
We study the representation, approximation, and compression of functions in M dimensions that consist of constant or smooth regions separated by smooth (M-1)-dimensional discontinuities. Examples include images containing ...
Approximation and Compression of Piecewise Smooth Images Using a Wavelet/Wedgelet Geometric Model
Inherent 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 ...
Image Compression using an Efficient Edge Cartoon + Texture Model
(IEEE Computer Society, 2002-04-01)
Wavelet-based image coders optimally represent smooth regions and isolated point singularities. However, wavelet coders are less adept at representing perceptually important edge singularities, and coding performance ...