An implementation of triangular B-spline surfaces over arbitrary triangulations

A new multivariate B-spline scheme based on blending functions and control ver-tices has recently been developed by Dahmen, Micchelli, and Seidel 4]. This surface scheme allows to model piecewise polynomial surfaces of degree k over arbitrary triangulations, such that the resulting surfaces are C k?1-continuous everywhere. The scheme exhibits both aane invariance and the convex hull property, and the control points can be used to manipulate the shape of the surface locally. Any piecewise polynomial can be represented by the new scheme 16]. This paper illustrates some of the algorithms underlying the new scheme by means of examples from a rst test implementation 6].