From wavelets to multiwavelets

Journal
Mathematical Methods of Curves and Surfaces II
Date Issued
1998
Author(s)
Strela, Vasily
Editor(s)
Daehlen, Morten
Lyche, Tom
Schumaker, Larry. L.
Abstract
This paper gives an overview of recent achievements of the multiwavelet theory. The construction of multiwavelets is based on a multiresolution analysis with higher multiplicity generated by a scaling vector. The basic properties of scaling vectors such as L 2 -stability, approximation order and regularity are studied. Most of the proofs are sketched.