Interpolation by Multivariate Splines

DOI10.2307/2008586zbMath0648.41006OpenAlexW4243504307MaRDI QIDQ3793140

Louise A. Raphael, Harvey Diamond, Charles K. Chui

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2008586

zbMATH Keywords

multivariate splinesnumerical implementationinterpolation schemelocal optimal order of approximation

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15) Algorithms for approximation of functions (65D15)

Related Items

Shape-preserving quasi-interpolation and interpolation by box spline surfaces ⋮ A characterization of multivariate quasi-interpolation formulas and its applications ⋮ Fortran subroutines for B-nets of box splines on three- and four- directional meshes ⋮ Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes ⋮ Multiply monotone functions for cardinal interpolation ⋮ A Faber Series Approach to Cardinal Interpolation ⋮ A local multivariate Lagrange interpolation method for constructing shape functions

Cites Work

• Bivariate cardinal interpolation by splines on a three-direction mesh
• The polynomials in the linear span of integer translates of a compactly supported function
• Cardinal Interpolation by Multivariate Splines
• A Natural Formulation of Quasi-Interpolation by Multivariate Splines
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