Quantum Bernstein bases and quantum Bézier curves

DOI10.1016/j.cam.2015.04.027zbMath1320.65028OpenAlexW1978432411MaRDI QIDQ2351079

Ronald N. Goldman, Plamen C. Simeonov

Publication date: 22 June 2015

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.2015.04.027

zbMATH Keywords

subdivisionquantum differentiationrecursive evaluationquantum blossomquantum Bernstein basisquantum Bézier curve

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Approximation by polynomials (41A10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (10)

Generalized quantum splines ⋮ Novel polynomial Bernstein bases and Bézier curves based on a general notion of polynomial blossoming ⋮ Curve and surface construction based on the generalized toric-Bernstein basis functions ⋮ On the accuracy of de Casteljau-type algorithms and Bernstein representations ⋮ On the uniqueness of the multirational blossom ⋮ Two essential properties of \((q, h)\)-Bernstein-Bézier curves ⋮ Quantum Lorentz degrees of polynomials and a Pólya theorem for polynomials positive on \(q\)-lattices ⋮ Quantum \((q, h)\)-Bézier surfaces based on bivariate \((q, h)\)-blossoming ⋮ A polynomial blossom for the Askey-Wilson operator ⋮ \(q\)-blossoming for analytic functions

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