Paper
23 October 1996 Construction of two-dimensional multiwavelets on a triangulation
George C. Donovan, Jeffrey S. Geronimo, Douglas P. Hardin, William J. Kessler
Author Affiliations +
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.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
George C. Donovan, Jeffrey S. Geronimo, Douglas P. Hardin, and William J. Kessler "Construction of two-dimensional multiwavelets on a triangulation", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); https://doi.org/10.1117/12.255223
Lens.org Logo
CITATIONS
Cited by 4 scholarly publications.
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Wavelets

Fractal analysis

Mathematics

Space operations

Matrices

Radon

Silicon

RELATED CONTENT

Biorthogonality and multiwavelets in Hilbert spaces
Proceedings of SPIE (December 04 2000)
Spectral radius of sets of matrices
Proceedings of SPIE (October 11 1994)
Magic of the prolate spheroidal functions in various setups
Proceedings of SPIE (December 05 2001)
Grassmannians in frame theory
Proceedings of SPIE (September 30 2011)

Back to Top