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RESEARCH PRODUCT
Singularities of rational Bézier curves
Juan Monterdesubject
Pure mathematicsDe Casteljau's algorithmDegree (graph theory)Mathematical analysisAerospace EngineeringTangentBézier curveSingular point of a curveComputer Graphics and Computer-Aided DesignPolynomial interpolationComputer Science::GraphicsSingularityModeling and SimulationComputer Science::MultimediaAutomotive EngineeringCurve fittingMathematicsdescription
We prove that if an nth degree rational Bezier curve has a singular point, then it belongs to the two (n − 1)th degree rational Bezier curves defined in the (n − 1)th step of the de Casteljau algorithm. Moreover, both curves are tangent at the singular point. A procedure to construct Bezier curves with singularities of any order is given. 2001 Elsevier Science B.V. All rights reserved.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-10-01 | Computer Aided Geometric Design |