Interpolation by multivariate splines

Authors:
Charles K. Chui, Harvey Diamond and Louise A. Raphael

Journal:
Math. Comp. **51** (1988), 203-218

MSC:
Primary 41A05; Secondary 41A15, 65D07

DOI:
https://doi.org/10.1090/S0025-5718-1988-0942150-X

MathSciNet review:
942150

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1988-0942150-X

Keywords:
Multivariate splines,
interpolation,
optimal order,
box splines,
fundamental function,
numerical implementation

Article copyright:
© Copyright 1988
American Mathematical Society