Quasi-interpolation operators based on the trivariate seven-direction \(C^2\) quartic box spline

DOI10.1007/s10543-010-0308-yzbMath1232.65024OpenAlexW2005307408MaRDI QIDQ639957

Sara Remogna

Publication date: 11 October 2011

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-010-0308-y

zbMATH Keywords

numerical examplesspline approximationsignal processingquasi-interpolation operatortrivariate box spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Multidimensional problems (41A63) Spline approximation (41A15)

Related Items (11)

Near-best \(C^2\) quartic spline quasi-interpolants on type-6 tetrahedral partitions of bounded domains ⋮ On trivariate blending sums of univariate and bivariate quadratic spline quasi-interpolants on bounded domains ⋮ Construction of a normalized basis of a univariate quadratic $C^1$ spline space and application to the quasi-interpolation ⋮ Numerical integration based on trivariate \(C ^{2}\) quartic spline quasi-interpolants ⋮ Quasi-interpolation by \(C^1\) quartic splines on type-1 triangulations ⋮ Superconvergent trivariate quadratic spline quasi-interpolants on Worsey-Piper split ⋮ Trivariate spline quasi-interpolants based on simplex splines and polar forms ⋮ Trivariate near-best blending spline quasi-interpolation operators ⋮ A trivariate near-best blending quadratic quasi-interpolant ⋮ On the construction of trivariate near-best quasi-interpolants based on \(C^2\) quartic splines on type-6 tetrahedral partitions ⋮ On spline quasi-interpolation through dimensions

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