Corner cutting curves and a new characterization of Bézier and B-spline curves

DOI10.1016/S0167-8396(96)00039-8zbMath0896.65012MaRDI QIDQ1391710

Günter Aumann

Publication date: 22 July 1998

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

zbMATH Keywords

interpolationcontactBézier curvesconvex hull propertycorner cuttingB-spline curves

Mathematics Subject Classification ID

Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Representing circles with five control points ⋮ Shape preserving alternatives to the rational Bézier model ⋮ Corner cutting systems ⋮ Corner cutting evaluation algorithms for general rational curves

Cites Work

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• De Casteljau's algorithm is an extrapolation method
• Local corner cutting and the smoothness of the limiting curve
• Generalized subdivision and convergence
• Computing curves invariant under halving
• Cutting corners always works
• Corner cutting algorithms for the Bézier representation of free form curves
• De Casteljau-type subdivision is peculiar to Bézier curves
• Descartes systems from corner cutting
• Linear subdivision
• Simple Regularity Criteria for Subdivision Schemes

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