On a generalization of Bernstein polynomials and Bézier curves based on umbral calculus. III: Blossoming

DOI10.1016/j.cagd.2016.05.001zbMath1418.65028OpenAlexW2097504581MaRDI QIDQ1632498

Rudolf Winkel

Publication date: 14 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2016.05.001

zbMATH Keywords

umbral calculusBernstein polynomialBézier curveblossoming

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• \(h\)-blossoming: A new approach to algorithms and identities for \(h\)-Bernstein bases and \(h\)-Bézier curves
• Blossoms are polar forms
• On a generalization of Bernstein polynomials and Bézier curves based on umbral calculus. II: De Casteljau algorithm
• On a generalization of Bernstein polynomials and Bézier curves based on umbral calculus

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