A new type of the generalized Bézier curves

DOI10.1007/s11766-011-2453-8zbMath1240.65046OpenAlexW2089572509MaRDI QIDQ655750

Guo-Jin Wang, Jie Chen

Publication date: 27 January 2012

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-011-2453-8

zbMATH Keywords

shape controldegree elevationshape parameterBernstein basis functionsQ-Bézier curve and surface

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (8)

Quasi-Bézier curves with shape parameters ⋮ A novel Bézier curve with a shape parameter of the same degree ⋮ \(\mathrm G^2\) continuity conditions for generalized Bézier-like surfaces with multiple shape parameters ⋮ Generalized Bézier curves and surfaces based on Lupaş \(q\)-analogue of Bernstein operator ⋮ Spiral transitions ⋮ Unnamed Item ⋮ Continuity conditions for tensor product Q-Bézier surfaces of degree (\(m, n\)) ⋮ Modeling of free-form complex curves using SG-Bézier curves with constraints of geometric continuities

Cites Work

• A novel generalization of Bézier curve and surface
• \(q\)-Bernstein polynomials and Bézier curves
• Cubic trigonometric polynomial curves with a shape parameter
• Class A Bézier curves
• A new weighted rational cubic interpolation and its approximation
• Generalized Bernstein polynomials and Bézier curves: an application of umbral calculus to computer aided geometric design

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