Stable, linear spline wavelets on nonuniform knots with vanishing moments

DOI10.1016/j.cagd.2008.04.002zbMath1205.65052OpenAlexW2031611216MaRDI QIDQ625172

Francesca Pelosi, Tom Lyche, Knut M. Mørken

Publication date: 15 February 2011

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2008.04.002

zbMATH Keywords

momentswaveletsstabilitymultiresolution analysisuniform normlinear splinesnonuniform knots

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Spline approximation (41A15)

Related Items

A splitting algorithm for the wavelet transform of cubic splines on a nonuniform grid ⋮ On Linear Spline Wavelets with Shifted Supports ⋮ Uniformly stable wavelets on nonuniform triangulations ⋮ Splitting algorithms for the wavelet transform of first-degree splines on nonuniform grids

Uses Software

• mctoolbox

Cites Work

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• Knot removal for parametric B-spline curves and surfaces
• Biorthogonal spline wavelets on the interval -- stability and moment conditions
• Local decomposition of refinable spaces and wavelets
• A Data-Reduction Strategy for Splines with Applications to the Approximation of Functions and Data
• Ten Lectures on Wavelets
• Accuracy and Stability of Numerical Algorithms

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