Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations
Piecewise polynomial splines in two dimensions are considered with given smoothness and polynomial degree, being \(r\) and \(3r-1\), respectively. The piecewise structure is defined on a triangulation and the refinement takes place using the Powell-Sabin split. Among other results, efficient and stable methods for computing Bernstein-Bézier forms are derived, normalised Powell-Sabin B-splines are considered and practical issues are discussed.
scientific article; zbMATH DE number 6141006