A CORNER CUTTING ALGORITHM FOR EVALUATING RATIONAL BEZIER SURFACES AND THE OPTIMAL STABILITY OF THE BASIS

摘要

The usual method for evaluating rational Bezier surfaces uses the projection operator and the representation provided by the Bernstein basis. We prove the optimal stability of the basis used in this representation. We also propose an alternative method for evaluating rational surfaces through that representation. We show the stability properties of this last method and prove that it has better properties than other known methods from the point of view of avoiding underflow and overflow.