Triangular Bézier sub-surfaces on a triangular Bézier surface
The authors provide a more convenient method for computing the Bézier representation for a triangular sub-patch on a triangular Bézier surface. An explicit compact formula to compute the control points of the composition is deduced. The authors simplify the formula to express the control points of the triangular Bézier sub-patch as linear combinations of the blossoming points that correspond to distinct construction points. Their algorithm results in a set of blossoming points considerably less numerous than that of construction points. The paper contains detailed algorithms presented for practical users, together with numerical examples.
scientific article; zbMATH DE number 5934904
scientific article