Concepedia

Interpolation by multivariate splines

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

Mathematics of Computation · 1988 · 21 citations · 5 references

Concepts

ComputingComputational EngineeringComputer ScienceComputational GeometryCurve ModelingGeometry ProcessingInterpolation TechniquesNumerical AlgorithmsNumerical AnalysisSpline CurvesInterpolating SplinesMultivariate SplinesNumerical ModelingSmoothing SplinesSpline ApproximationSpline InterpolationSplines

Abstract

A general interpolation scheme by multivariate splines at regular sample points is introduced. This scheme guarantees the local optimal order of approximation to sufficiently smooth data functions. A discussion on numerical implementation is included.

References

5

A natural formulation of quasi-interpolation by multivariate splines

Charles K. Chui, Harvey Diamond · Proceedings of the American Mathematical Society · 1987 · 65 citations

Computing, Computational Engineering, Algorithms +11

Bivariate cardinal interpolation by splines on a three-direction mesh

Carl de Boor, Klaus Höllig, S. D. Riemenschneider · Illinois Journal of Mathematics · 1985 · 64 citations · Full text

Architecture, Mathematics, Computational Geometry +15

The polynomials in the linear span of integer translates of a compactly supported function

Carl de Boor · Constructive Approximation · 1987 · 62 citations

Natural Sciences, Mathematics, Number Theory +2

Cardinal interpolation by multivariate splines

Charles K. Chui, J. D. Ward · Mathematics of Computation · 1987 · 45 citations

Architecture, Mathematics, Algorithms +13

Cardinal Interpolation by Multivariate Splines

Charles K. Chui, K. Jetter, J. D. Ward · Mathematics of Computation · 1987 · 11 citations · Full text

Architecture, Mathematics, Algorithms +13