Dubuc--Deslauriers Subdivision for Finite Sequences and Interpolation Wavelets on an Interval

DOI10.1137/S0036141001386830zbMath1047.65121OpenAlexW2044576466WikidataQ126121338 ScholiaQ126121338MaRDI QIDQ4429893

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Publication date: 30 September 2003

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141001386830

zbMATH Keywords

refinable functionsinterpolation waveletssubdivision methoddecomposition and reconstruction algorithmsbounded intervalbi-infinite sequences

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Interpolation in approximation theory (41A05)

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An ideal spline-wavelet family for curve design and editing ⋮ An adaptive wavelet method for nonlinear partial differential equations with applications to dynamic damage modeling ⋮ On the norms of the Dubuc-Deslauriers subdivision schemes ⋮ Vector cell-average multiresolution based on Hermite interpolation ⋮ Interpolatory blending net subdivision schemes of Dubuc-Deslauriers type ⋮ A note on magnitude bounds for the mask coefficients of the interpolatory Dubuc–Deslauriers subdivision scheme ⋮ Interpolating \(m\)-refinable functions with compact support: the second generation class ⋮ Wavelets for the Maxwell's equations: an overview

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