Non-Rational and Rational Transfinite Interpolation Using Bernstein Polynomials

DOI10.1142/S0218195922500030OpenAlexW4292768201WikidataQ114072955 ScholiaQ114072955MaRDI QIDQ5057659

Christopher G. Provatidis

Publication date: 19 December 2022

Published in: International Journal of Computational Geometry & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218195922500030

zbMATH Keywords

Bernstein polynomialsisogeometric analysistransfinite interpolation

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Cites Work

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• Transfinite mean value interpolation
• On transfinite interpolations with respect to convex domains
• Current experience with transfinite interpolation
• Ribbon-based transfinite surfaces
• Smooth Bézier surfaces over unstructured quadrilateral meshes
• Multi-sided Bézier surfaces over curved, multi-connected domains
• High order transition elements: the \(x\mathbf{N}y\)-element concept. II: Dynamics
• Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
• Isogeometric Analysis

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