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
A. Cavaretta, Charles A. Micchelli and A. Sharma, Multivariate approximation and the Radon Transform, in preparation.
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.
W. Dahmen, On multivariate B-splines, to appear SIAM J. Numer. Anal.
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.
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© 1979 Springer Basel AG
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Micchelli, C.A. (1979). On a numerically efficient method for computing multivariate B-splines. In: Schempp, W., Zeller, K. (eds) Multivariate Approximation Theory. ISNM International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 51. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6289-9_14
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DOI: https://doi.org/10.1007/978-3-0348-6289-9_14
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-1102-5
Online ISBN: 978-3-0348-6289-9
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