Article ID Journal Published Year Pages File Type
4641964 Journal of Computational and Applied Mathematics 2008 26 Pages PDF
Abstract

In this paper we present a method for the construction of C1C1 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 Sablonnière and Lyche and Merrien on the solution of two-points Hermite interpolation problems with arbitrary monotonicity or convexity constraints.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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