On \(\alpha \)-Bézier curves and surfaces

DOI10.1007/s40574-022-00341-9zbMath1530.41004OpenAlexW4312062147MaRDI QIDQ6134437

Jaspreet Kaur, Meenu Goyal

Publication date: 22 August 2023

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-022-00341-9

zbMATH Keywords

Bézier curvesBézier surfacesBernstein polynomialtensor productdegree elevationde Casteljau algorithm

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• Generalized Bézier curves and surfaces based on Lupaş \(q\)-analogue of Bernstein operator
• Approximation of functions by a new family of generalized Bernstein operators
• Approximation properties of \(\lambda\)-Bernstein operators
• A novel generalization of Bézier curve and surface
• Approximation properties of a new type Bernstein-Stancu polynomials of one and two variables
• Shape modification for \(\lambda\)-Bézier curves based on constrained optimization of position and tangent vector
• Convergence Estimates in Approximation Theory
• Linear Combinations of Bernstein Polynomials

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