Construction of a class of compactly supported symmetric and balanced refinable function vector by GTST
type: Item
instance of: scholarly article
title: Construction of a class of compactly supported symmetric and balanced refinable function vector by GTST
zbMATH Open document ID: 1170.65110
author: S. Z. Yang
author: Yongdong Huang
published in: Applied Mathematics and Computation
publication date: 2009-03-02T00:00:00Z
review text: The authors study the construction of balanced and symmetric refinable function vectors by general two-scale similarity transform (GTST). With GTST, the authors provide an algorithm to construct balanced refinable function vectors from unbalanced one. Furthermore, the algorithm also preserves the symmetry of refinable function vectors.
reviewed by: Qingtang Jiang
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 5522192
zbMATH Keywords: balanced refinable function vectors
zbMATH Keywords: symmetric refinable function vectors
zbMATH Keywords: two-scale similarity transform
zbMATH Keywords: algorithm
MaRDI profile type: Publication
full work available at URL: j.amc.2007.10.066
OpenAlex ID: W1979207222
cites work: High-order balanced multiwavelets: theory, factorization, and design
cites work: On a family of orthonormal scalar wavelets and related balanced multiwavelets
cites work: Balanced multi-wavelets in $\mathbb R^s$
cites work: Construction of high order balanced multiscaling functions via PTST
cites work: An algebraic construction of k-balanced multiwavelets via the lifting scheme
cites work: Construction of refinable function vector via GTST
cites work: Approximation order provided by refinable function vectors
cites work: Construction of Multiscaling Functions with Approximation and Symmetry
cites work: Q4890498
cites work: Raising approximation order of refinable vector by increasing multiplicity
cites work: Q3138779
cites work: Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
cites work: Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
cites work: On existence and weak stability of matrix refinable functions
cites work: Refinable Function Vectors
cites work: A study of orthonormal multi-wavelets
cites work: Orthogonality criteria for multi-scaling functions
cites work: On Refinement Equations Determined by Pólya Frequency Sequences
cites work: Fractal functions and wavelet expansions based on several scaling functions
DOI: 10.1016/J.AMC.2007.10.066
description: scientific article; zbMATH DE number 5522192