Interpolating refinable functions and wavelets for general scaling

DOI10.1080/01630569708816776zbMath0895.42017OpenAlexW1994334836MaRDI QIDQ4385292

Stephan Dahlke, Peter Maass

Publication date: 18 August 1998

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569708816776

zbMATH Keywords

waveletsinterpolating refinable functionsspline functionsexpanding scaling matricesinterpolating scaling functions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15) Approximation by other special function classes (41A30)

Related Items (8)

Multivariate orthonormal interpolating scaling vectors ⋮ Hermite-like interpolating refinable function vector and its application in signal recovering ⋮ INTERPOLATING SCALING VECTORS ⋮ Wavelet bi-frames with few generators from multivariate refinable functions ⋮ Construction of interpolating scaling vectors with Hermite interpolation property ⋮ Multivariate symmetric interpolating scaling vectors with duals ⋮ Multivariate refinable interpolating functions ⋮ A new approach to interpolating scaling functions

Cites Work

• Multilevel preconditioning
• A general framework of multivariate wavelets with duals
• Smooth refinable functions and wavelets obtained by convolution products
• A wavelet collocation method for the numerical solution of partial differential equations
• A note on the linear independence of characteristic functions of self-similar sets
• A butterfly subdivision scheme for surface interpolation with tension control
• Multidimensional Iterative Interpolation
• Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
• Image compression through wavelet transform coding
• Multidimensional Interpolatory Subdivision Schemes

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