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 -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-Sablonnière and Lyche-Merrien on the solution of two-points Hermite interpolation problems with arbitrary monotonicity or convexity constraints.
Pelosi, F., Sablonniere, P. (2008). Shape-Preserving C^1 Hermite Interpolants Generated by a Gori-Pitolli Subdivision Scheme. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 220, 686-711 [10.1016/j.cam.2007.09.013].
Shape-Preserving C^1 Hermite Interpolants Generated by a Gori-Pitolli Subdivision Scheme
PELOSI, FRANCESCA;
2008-01-01
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 -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-Sablonnière and Lyche-Merrien on the solution of two-points Hermite interpolation problems with arbitrary monotonicity or convexity constraints.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
