Shape-Preserving $C^1$ GP Hermite Interpolants Generated by a Subdivision Scheme

Francesca Pelosi (1) , Paul Sablonnière (2)

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

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.

Mots clés: schéma de subdivision; interpolation d'hermite

Domaines: Analyse numérique [math.NA]

Francesca Pelosi, Paul Sablonnière. Shape-Preserving $C^1$ GP Hermite Interpolants Generated by a Subdivision Scheme. Journal of Computational and Applied Mathematics, 2008, 220 (1-2), pp.686-711. ⟨10.1016/j.cam.2007.09.013⟩. ⟨hal-00071286⟩