Hamid Mraoui ; Driss Sbibih - Hermite spline interpolents ― New methods for constructing and compressing Hermite interpolants

arima:1871 - Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, November 18, 2006, Volume 5, Special Issue TAM TAM'05, november 2006 - https://doi.org/10.46298/arima.1871
Hermite spline interpolents ― New methods for constructing and compressing Hermite interpolants

Authors: Hamid Mraoui ; Driss Sbibih

In this paper, we present a quite simple recursive method for the construction of classical tensor product Hermite spline interpolant of a function defined on a rectangular domain. We show that this function can be written under a recursive form and a sum of particular splines that have interesting properties. As application of this method, we give an algorithm which allows to compress Hermite data. In order to illustrate our results, some numerical examples are presented.


Volume: Volume 5, Special Issue TAM TAM'05, november 2006
Published on: November 18, 2006
Submitted on: May 16, 2006
Keywords: Smoothing of surfaces, tensor product, Hermite interpolants, compression of data,Lissage de surfaces,produit tensoriel,interpolants d'Hermite,compression de données d'Hermite,[MATH] Mathematics [math],[INFO] Computer Science [cs]


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