Dimension Elevation for Chebyshevian splines

Marie-Laurence Mazure (1)

1 MGMI - Modélisation Géométrique & Multirésolution pour l'Image

Dimension elevation refers to the Chebyshevian version of the classical degree elevation process for polynomials or polynomial splines. In this paper, we consider the case of splines. The original spline space is based on a given Extended Chebsyhev space

Mots clés: Degree elevation; Extended Chebyshev spaces; Chebyshevian splines; Dimension elevation; Blossoms

Domaines: Analyse numérique [math.NA]

Marie-Laurence Mazure. Dimension Elevation for Chebyshevian splines. Numerical Algorithms, 2011, 56 (1), pp.1-16. ⟨10.1007/s11075-010-9369-x⟩. ⟨hal-00862635⟩