Weighted Lupaş \(q\)-Bézier curves

DOI10.1016/j.cam.2016.06.017zbMath1346.65005OpenAlexW2466113358MaRDI QIDQ738980

Li-Wen Han, Ya-Sha Wu, Ying Chu

Publication date: 16 August 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.06.017

zbMATH Keywords

numerical exampleshape parameterconic sectionsrational Bézier curveLupaş \(q\)-analogue of Bernstein operatorde Casteljau algorithmsnormalized totally positive basisweighted Lupaş \(q\)-Bernstein basis

Mathematics Subject Classification ID

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

Related Items (7)

Shape-preserving properties of a new family of generalized Bernstein operators ⋮ The uniqueness of the rational Bézier polygon is unique ⋮ Some remarks on weighted Lupaş \(q\)-Bézier curves ⋮ Approximation of conic sections by weighted Lupaş post-quantum Bézier curves ⋮ Evaluation and subdivision algorithms for general classes of totally positive rational bases ⋮ On the convergence of the \(q\)-Bernstein polynomials for power functions ⋮ A NURBS transition between a Bézier curve and its control polygon

Cites Work

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