Shape-Preserving $C^1$ GP Hermite Interpolants Generated by a Subdivision SchemeReport as inadecuate




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1 DSMI - Department of Mathematics and Computer Science - Dipartimento di Scienze Matematiche e Informatiche -Roberto Magari- 2 IRMAR - Institut de Recherche Mathématique de Rennes

Abstract : In this paper we present a method for the construction of $C^1$ Hermite interpolants obtained from a particular family of refinable spline functions introduced by Gori and Pitolli \cite{GorPit97}. These interpolants are generated by the general subdivision scheme introduced by Merrien \cite{Mer92}} and satisfy, arbitrary monotonicity or convexity constraints.

keyword : schéma de subdivision interpolation d-hermite





Author: Francesca Pelosi - Paul Sablonnière -

Source: https://hal.archives-ouvertes.fr/



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