Search results for "De Casteljau's algorithm"

showing 1 items of 1 documents

Singularities of rational Bézier curves

2001

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.

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 fittingMathematicsComputer Aided Geometric Design
researchProduct