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.
A construction of two-dimensional multiwavelets on a triangulationWavelet Application in Signal and Image Processing IV (1996)
Citation InformationGeorge 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).