A Corner Cutting Algorithm for Evaluating Rational Bézier Surfaces and the Optimal Stability of the Basis

Authors:
Jorge Delgado;J. M. Peña
Affiliations:
-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2007

Citing 0
Cited 4

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Abstract

The usual method for evaluating rational Bézier 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.