Consolidated sharp bounds for Bézier curve approximation with cutdown polygon and corner cutting polygon

DOI10.1016/j.cagd.2010.02.005zbMath1210.65050OpenAlexW2015706564MaRDI QIDQ631033

Ren-Jiang Zhang, Weiyin Ma

Publication date: 22 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2010.02.005

zbMATH Keywords

Bézier curvessharp boundsgraphical examplescutdown polygonintersection testingcontrol polygonscorner cutting polygonde Casteljau central corner cutting algorithm

Mathematics Subject Classification ID

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

Related Items

Approximating odd degree Bézier pieces by degree-elevation cutdown polygons

Cites Work

• Unnamed Item
• A simple and efficient approximation of a Bézier piece by its cutdown polygon
• Best bounds on the approximation of polynomials and splines by their control structure
• Sharp, quantitative bounds on the distance between a polynomial piece and its Bézier control polygon
• Sharp bounds on the approximation of a Bézier polynomial by its quasi-control polygon
• Mathematics of Surfaces
• Optimized refinable enclosures of multivariate polynomial pieces

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