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. (C) 2007 Elsevier B. V. All rights reserved.
Pelosi, F., Sablonnière, P. (2008). Shape-preserving C1 Hermite interpolants generated by a Gori–Pitolli subdivision scheme. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 220(1-2), 686-711 [10.1016/j.cam.2007.09.013].
Shape-preserving C1 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 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. (C) 2007 Elsevier B. V. All rights reserved.
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https://hdl.handle.net/11365/1261694