Tensor product Bézier surfaces on triangle Bézier surfaces Original Research Article

An explicit formula as well as a geometric algorithm are given for converting a rectangular subpatch of a triangular Bézier surface into a tensor product Bézier representation. Based on de Casteljau recursions and convex combinations of combinatorial constants, both formula and algorithm are numerically stable. Examples and special problems are discussed such as the suitcase corner problem and surfaces of the same polynomial degree.