Representation and Compression of Multidimensional 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 edges, video sequences of moving objects, and seismic data containing geologi...

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Veröffentlicht in:	IEEE transactions on information theory 2009-01, Vol.55 (1), p.374-400
Hauptverfasser:	Chandrasekaran, V., Wakin, M.B., Baron, D., Baraniuk, R.G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Applied sciences Approximation Asymptotic properties Coders Coding, codes Compressing Compression Data compression Dictionaries discontinuities Discontinuity Entropy Exact sciences and technology Geology Image coding Information theory Information, signal and communications theory Instruments Mathematical analysis metric entropy multidimensional signals Multidimensional systems multiscale representations nonlinear approximation Optimization rate-distortion Sampling methods Signal and communications theory Signal resolution Simulation sparse representations Studies surflets Telecommunications and information theory Two dimensional displays Video sequences wavelets
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