Title of article :
Shape-preserving Hermite interpolants generated by a Gori–Pitolli subdivision scheme
Author/Authors :
Pelosi، نويسنده , , Francesca and Sablonnière، نويسنده , , Paul، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
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 Merrienʹs 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.
Keywords :
refinable function , Interpolation , Shape-preservation , Corner cutting
Journal title :
Journal of Computational and Applied Mathematics
Journal title :
Journal of Computational and Applied Mathematics