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B-spline bases and osculating flats: One result of H.-P. Seidelrevisited

Published online by Cambridge University Press:  15 January 2003

Marie-Laurence Mazure
Marie-Laurence Mazure*
Affiliation:
Laboratoire de Modélisation et Calcul (LMC-IMAG), Université Joseph Fourier, BP 53, 38041 Grenoble Cedex, France. mazure@imag.fr.
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Abstract

Along with the classical requirements on B-splines bases (minimal support, positivity, normalization) we show that it is natural to introduce an additional “end point property". When dealing with multiple knots, this additional property is exactly the appropriate requirement to obtain the poles of nondegenerate splines as intersections of osculating flats at consecutive knots.

Keywords

Geometric designB-spline basisblossomingosculating flats.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 36 , Issue 6 , November 2002 , pp. 1177 - 1186
Copyright
© EDP Sciences, SMAI, 2002

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References

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