Are rational Bézier surfaces monotonicity preserving?

Authors:
J. Delgado;J. M. Peòa
Affiliations:
Departamento de Matemáticas, Universidad de Oviedo, Spain;Departamento de Matemática Aplicada, Universidad de Zaragoza, Spain
Venue:
Computer Aided Geometric Design
Year:
2007

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Abstract

We present examples which show that rational Bezier surfaces are not axially monotonicity preserving and that surfaces generated by the tensor product of rational bases are not monotonicity preserving. Besides, we prove that surfaces generated by rational functions through Bernstein basis on a triangle are not axially monotonicity preserving.