Generalized interpolating refinable function vectors

DOI10.1016/j.cam.2008.03.014zbMath1166.65069OpenAlexW1997381877MaRDI QIDQ1014542

Soon-Geol Kwon, Bin Han, Xiao-Sheng Zhuang

Publication date: 29 April 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.03.014

zbMATH Keywords

numerical examplesbiorthogonal multiwaveletsdilation factorsum rulesCBC algorithmcompactly supported refinable function vectorsinterpolating refinable function vectorsorthogonal interpolating refinable function vectors

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) General harmonic expansions, frames (42C15) Interpolation in approximation theory (41A05)

Related Items (14)

Interpolating refinable function vectors with reflection properties ⋮ Multivariate generalized Hermite subdivision schemes ⋮ Multiwavelet sampling theorem in Sobolev spaces ⋮ Hermite-like interpolating refinable function vector and its application in signal recovering ⋮ Matrix extension with symmetry and construction of biorthogonal multiwavelets with any integer dilation ⋮ Gabor shearlets ⋮ Algorithms for matrix extension and orthogonal wavelet filter banks over algebraic number fields ⋮ Frames, Riesz bases, and sampling expansions in Banach spaces via semi-inner products ⋮ Quincunx fundamental refinable functions in arbitrary dimensions ⋮ Sampling approximation by framelets in Sobolev space and its application in modifying interpolating error ⋮ Analysis and construction of multivariate interpolating refinable function vectors ⋮ INFINITUDE OF MINIMALLY SUPPORTED TOTALLY INTERPOLATING BIORTHOGONAL MULTIWAVELET SYSTEMS WITH LOW APPROXIMATION ORDERS ⋮ Linear Multiscale Transforms Based on Even-Reversible Subdivision Operators ⋮ Derivative-orthogonal wavelets for discretizing constrained optimal control problems

Cites Work

• Symmetry property and construction of wavelets with a general dilation matrix
• Symmetric iterative interpolation processes
• Symmetric orthonormal scaling functions and wavelets with dilation factor 4
• Vector cascade algorithms and refinable function vectors in Sobolev spaces
• Construction of multivariate biorthogonal wavelets with arbitrary vanishing moments
• Multiwavelet frames from refinable function vectors
• Solutions in Sobolev spaces of vector refinement equations with a general dilation matrix
• Interpolating multiwavelet bases and the sampling theorem
• The structure of balanced multivariate biorthogonal multiwavelets and dual multiframelets
• Ten Lectures on Wavelets
• Multivariate Refinement Equations and Convergence of Subdivision Schemes
• On linear independence for integer translates of a finite number of functions
• Analysis and Construction of Optimal Multivariate Biorthogonal Wavelets with Compact Support
• Interpolatory orthogonal multiwavelets and refinable functions
• INTERPOLATING SCALING VECTORS
• Approximation properties and construction of Hermite interpolants and biorthogonal multiwavelets

This page was built for publication: Generalized interpolating refinable function vectors