Conversion of a triangular Bézier patch into three rectangular Bézier patches Original Research Article

In this paper, we give an explicit formula for converting a triangular Bézier patch into three non-degenerate rectangular Bézier patches of the same degree. The use of certain operators simplifies the formulation of such a decomposition. The formula yields a stable recursive algorithm for computing the control points of the rectangular patches. We also illustrate the formula with an example.