Abstract: The modeling of complex shapes usually requires a well-based space of splines. The aim of this work is to give the construction method of such spline space basis over the chosen class of triangulations. This basis has several useful properties - local minimal support, low degree of polynomials. We also present several problems, that arise in lower-degree polynomials.
Keywords: geometric modelling, splines, triangulation, spline basis
Classification (MSC2000): 53A05; 68U05
Full text of the article: