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A construction of two-dimensional multiwavelets on a triangulation
Wavelet Application in Signal and Image Processing IV (1996)
  • George C. Donovan, Princeton University
  • Jeff S. Geronimo, Georgia Institute of Technology
  • Douglas P. Hardin, Vanderbilt University
  • Bruce Kessler, Western Kentucky University
Abstract

A family of continuous, compactly supported, bivariate multi-scaling functions have recently been constructed by Donovan, Geronimo, and Hardin using self-affine fractal surfaces. In this paper we describe a construction of associated multiwavelets that uses the symmetry properties of the multi-scaling functions. Illustrations of a particular set of scaling functions and wavelets are provided.

Publication Date
1996
Citation Information
George C. Donovan, Jeff S. Geronimo, Douglas P. Hardin, and Bruce Kessler, "A construction of two-dimensional multiwavelets on a triangulation", Wavelet Application in Signal and Image Processing IV, edited by M. A. Unser, A. Aldroubi, and A. F. Laine, Denver: SPIE - Int. Soc. Opt. Eng., 98-108 (1996).