Which spline spaces for design?

Marie-Laurence Mazure (1)

1 MGMI - Modélisation Géométrique & Multirésolution pour l'Image

We recently determined the largest class of spaces of sufficient regularity which 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.

Domaines: Analyse numérique [math.NA]

Marie-Laurence Mazure. Which spline spaces for design?. Comptes Rendus. Mathématique, 2015, 353 (8), pp.761-765. ⟨10.1016/j.crma.2015.06.004⟩. ⟨hal-00987504⟩