Ck surface approximation from surface patches

Christian Gout (1)

1 LMI - Laboratoire de Mathématiques de l'INSA de Rouen Normandie

We study the problem of constructing a smooth approximant from a finite set of patches given on a surface defined by an equation x3 = f(x1, x2). As an approximant of f, a discrete smoothing spline belonging to a suitable piecewise polynomial space is proposed. Error results and numerical results are given.

Domaines: Analyse numérique [math.NA]

Christian Gout. Ck surface approximation from surface patches. Computers & Mathematics with Applications, 2002, 44 (3-4), pp.389-406. ⟨10.1016/S0898-1221(02)00157-8⟩. ⟨hal-01024260⟩