An equivalent parameter geometric shape representation using independent coordinates of cubic Bézier control points

DOI10.1088/1361-6544/ac7704OpenAlexW4285024621WikidataQ114096621 ScholiaQ114096621MaRDI QIDQ5089479

Chen Hong, Wang Zhenwei, Nakajima Shuro, Zhang Ziyu

Publication date: 19 July 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ac7704

zbMATH Keywords

Bézier curvegeometric shapeindependent coordinatesequivalent parameter

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Numerical analysis (65-XX)

Cites Work

• Multiple degree elevation and constrained multiple degree reduction for DP curves and surfaces
• A third order partial differential equation for isotropic boundary based triangular Bézier surface generation
• \(q\)-blossoming: A new approach to algorithms and identities for \(q\)-Bernstein bases and \(q\)-Bézier curves
• A simple matrix form for degree reduction of Bézier curves using Chebyshev-Bernstein basis transformations
• Hermite interpolation by piecewise polynomial surfaces with rational offsets
• Adjusting the energy of ball curves by modifying movable control balls
• Airplane designing using quadratic trigonometric B-spline with shape parameters
• Circle approximation using LN Bézier curves of even degree and its application
• The \(G^2\) and \(C^2\) rational quadratic trigonometric Bézier curve with two shape parameters with applications

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