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Interpolants d'Hermite C2 obtenuspar subdivision

Published online by Cambridge University Press:  15 August 2002

Jean-Louis Merrien
Jean-Louis Merrien*
Affiliation:
INSA de Rennes, 20 avenue des Buttes de Coesmes, CS 14315, 35043 Rennes Cedex, France.
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Abstract

We propose a two point subdivision scheme with parameters to draw curves that satisfy Hermite conditions at both ends of [a,b]. We build three functions f,p and s on dyadic numbers and, using infinite products of matrices, we prove that, under assumptions on the parameters, these functions can be extended by continuity on [a,b], with f'=p and f''=s .

Keywords

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 1 , January 1999 , pp. 55 - 65
Copyright
© EDP Sciences, SMAI, 1999

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