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Comptes Rendus Mathématique
Volume 353, n° 8
pages 761-765 (août 2015)
Doi : 10.1016/j.crma.2015.06.004
Received : 12 February 2015 ;  accepted : 12 June 2015
Which spline spaces for design?
Quelles splines utiliser pour le design ?
 

Marie-Laurence Mazure
 Laboratoire Jean Kuntzmann, Université Joseph-Fourier, BP 53, 38041 Grenoble cedex 9, France 

Abstract

We recently determined the largest class of spaces of sufficient regularity that are suitable for design. How can we connect different such spaces, possibly with the help of connection matrices, to produce the largest class of splines usable for design? We present the answer to this question, along with some of the major difficulties encountered to establish it. We would like to stress that the results we announce are far from being a straightforward generalisation of previous work on piecewise Chebyshevian splines.

The full text of this article is available in PDF format.
Résumé

Nous avons récemment déterminé la plus grande classe d'espaces (de fonctions suffisamment régulières) bons pour le design. Comment connecter de tels espaces pour produire la plus grande classe de « bons » espaces de splines ? Nous donnons la réponse à cette question en pointant certaines des difficultés majeures rencontrées pour l'établir.

The full text of this article is available in PDF format.


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