New bounds on the magnitude of the derivative of rational Bézier curves and surfaces

Authors:
Ilijas Selimovic
Affiliations:
Fachbereich Mathematik, Universität Dortmund, D-44149 Dortmund, Germany
Venue:
Computer Aided Geometric Design
Year:
2005

Citing 3
Cited 3

Derivatives of rational Be´zier curves

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Partial derivatives of rational Be´zier surfaces

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On the derivatives of second and third degree rational Bézier curves

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Some improvements on the derivative bounds of rational Bézier curves and surfaces

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Improved bounds on partial derivatives of rational triangular Bézier surfaces

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Approximate computation of curves on B-spline surfaces

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Abstract

Two bounds on the magnitude of the derivative of rational Bézier curves are presented and compared with the known ones. As an application, we improve the existing bounds on the magnitude of partial derivatives of rational Bézier surfaces.