Copyright 2000, Elsevier Inc. All rights reserved. This version posted as the author's final version. Published in Applied and Computational Harmonic Analysis, 9 (2000): 146-165.


This paper will provide the general construction of the continuous, orthogonal, compactly-supported multiwavelets associated with a class of continuous, orthogonal, compactly-supported scaling functions that contain piecewise linears on a uniform triangulation of $\R^2$. This class of scaling functions is a generalization of a set of scaling functions first constructed by Donovan, Geronimo, and Hardin. A specific set of scaling functions and associated multiwavelets with symmetry properties will be constructed.


Applied Mathematics | Mathematics