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Abstract

In this paper an algorithm for the computation of smooth piecewise polynomials (multivariate B-spline) is given. The results of numerical calculation for twelve typical B-spline

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References

  1. 1.
    A. Cavaretta, Charles A. Micchelli and A. Sharma, Multivariate approximation and the Radon Transform, in preparation.Google Scholar
  2. 2.
    Carl de Boor, Splines as linear combinations of B-splines in A survey in Approximation Theory II, Edited by G. G. Lorentz, C. K. Chui, L. L. Schumaker, Academic Press, 1976, 1–47.Google Scholar
  3. 3.
    W. Dahmen, On multivariate B-splines, to appear SIAM J. Numer. Anal.Google Scholar
  4. 4.
    Charles A. Micchelli, A constructive approach to Kergin interpolation in R, University of Wisconsin, Math Res. Center Report No. 1895, 1978, to appear in Rocky Mountain Journal of Mathematics as A constructive approach to Kergin interpolation in R : multivariate B-splines and Lagrange interpolation.Google Scholar

Copyright information

© Springer Basel AG 1979

Authors and Affiliations

  • Charles A. Micchelli
    • 1
  1. 1.IBM T. J. Watson Research CenterYorktown HeightsUSA

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