Construction of refinable function vector via GTST

The concept of general two-scale similarity transform (GTST) is introduced. By applying GTST, we present an algorithm of constructing a class of compactly supported refinable function vector. In addition, we prove that GTST can preserve the symmetry of the given a refinable function vector, and give...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics and computation 2007-12, Vol.194 (2), p.425-430
Main Authors: Xie, Changzhen, Yang, Shouzhi
Format: Article
Language:English
Subjects:
Exact sciences and technology
GTST
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Refinable function vector
Sciences and techniques of general use
Symmetry
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The concept of general two-scale similarity transform (GTST) is introduced. By applying GTST, we present an algorithm of constructing a class of compactly supported refinable function vector. In addition, we prove that GTST can preserve the symmetry of the given a refinable function vector, and give a sufficient condition that the corresponding transform matrices M( z) and N( z) satisfy when GTST can preserve symmetry. Some examples are given.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2006.12.088