Geodesic
Pseudo-differential operator associated to the radial basis functions under tension.
A. Bouhamidi1
1 L.M.P.A, Université du Littoral Côte d'Opale, 50 rue F. Buisson BP699, F-62228 Calais Cedex, France
ESAIM. Proceedings, Tome 20 (2007), pp. 72-82.

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Radial basis functions under tension (RBFT) depend on a positive parameter, incorporate the concept of spline with tension and provide a convenient way for the control of the behavior of the interpolating surface. The RBFT involve a function which is not complicated than exponential and may be easily coded. In this paper, we show that the RBFT, as like thin plate spline, may be associated to a differential operator in a Beppo-Levi space type. Both smoothing and interpolating problems by RBFT are studied.
DOI : 10.1051/proc:072007

A. Bouhamidi 1

1 L.M.P.A, Université du Littoral Côte d'Opale, 50 rue F. Buisson BP699, F-62228 Calais Cedex, France 
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     title = {Pseudo-differential operator associated to the radial basis functions under tension.},
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A. Bouhamidi. Pseudo-differential operator associated to the radial basis functions under tension.. ESAIM. Proceedings, Tome 20 (2007), pp. 72-82. doi : 10.1051/proc:072007. http://geodesic.mathdoc.fr/articles/10.1051/proc:072007/

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