Quasi-interpolants associated with \(H\)-splines on a three-direction mesh

DOI10.1016/0377-0427(95)00168-9zbMath0854.41012OpenAlexW2095145033MaRDI QIDQ1919394

Paul Sablonniere

Publication date: 23 July 1996

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

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00168-9

zbMATH Keywords

quasi-interpolantsbox-splinesbivariate \(B\)-splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Approximation by operators (in particular, by integral operators) (41A35) Spline approximation (41A15)

Related Items

Bernstein-Bézier representation and near-minimally normed discrete quasi-interpolation operators ⋮ Quasi-interpolation projectors for box splines ⋮ Trivariate near-best blending spline quasi-interpolation operators ⋮ A general method for constructing quasi-interpolants from B-splines ⋮ Near-best quasi-interpolants associated with \(H\)-splines on a three-direction mesh ⋮ Minimizing the quasi-interpolation error for bivariate discrete quasi-interpolants ⋮ Completeness characterization of type-I box splines ⋮ A progressive construction of univariate spline quasi-interpolants on uniform partitions

Uses Software

• na2

Cites Work

• A characterization of multivariate quasi-interpolation formulas and its applications
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• Translates of multivariate splines
• Local linear independence of the translates of a box spline
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• Fortran subroutines for B-nets of box splines on three- and four- directional meshes
• Banded matrices with banded inverses
• Box splines
• Existence and construction of \(H_1\)-splines of class \(C^k\) on a three directional mesh
• Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
• Cardinal Interpolation by Multivariate Splines
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