Decomposition and reconstruction algorithms for spline wavelets on a bounded interval
type: Item
instance of: scholarly article
title: Decomposition and reconstruction algorithms for spline wavelets on a bounded interval
zbMATH Open document ID: 0804.65143
author: Norman Weyrich
author: E. Quak
published in: Applied and Computational Harmonic Analysis
publication date: 1995-01-15T00:00:00Z
review text: The authors describe new decomposition and reconstruction algorithms for spline wavelets on a bounded interval. The algorithms are based on the observation that for a bounded interval, it is possible to perform both decomposition and reconstruction by computing with finite banded matrices. Divided in 6 parts (Introduction, Construction of spline wavelets for \(L^ 2[0,1]\), The decomposition algorithm, The reconstruction algorithm, An improved decomposition algorithm and Numerical examples) this paper is richly illustrated (7 figures and 3 tables). A comparative analysis of some comparable methods: Daubechies, linear spline wavelets (boundary case and real axis), cubic spline wavelets (boundary case and real axis) is made.
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 626001
zbMATH Keywords: numerical examples
zbMATH Keywords: spline wavelets
zbMATH Keywords: decomposition algorithm
zbMATH Keywords: reconstruction algorithm
MaRDI profile type: Publication
full work available at URL: acha.1994.1009
OpenAlex ID: W2057829994
DOI: 10.1006/ACHA.1994.1009
description: scientific article; zbMATH DE number 626001