Shape-preserving C1 Hermite interpolants generated by a Gori-Pitolli subdivision scheme

Authors:
Francesca Pelosi;Paul Sablonnière
Affiliations:
Dipartimento di Scienze Matematiche ed Informatiche, Universití di Siena, Pian dei Mantellini 44, Siena, Italy;INSA de Rennes, 20 avenue des Buttes de Coësmes, CS 14315, 35043 Rennes Cedex, France
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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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. They constitute a one-parameter subfamily of the Hermite interpolants generated by the general Merrien's subdivision scheme. We compare this family to the other one-parameter subfamily studied by Merrien and Sablonniere and Lyche and Merrien on the solution of two-points Hermite interpolation problems with arbitrary monotonicity or convexity constraints.