New shape control tools for rational Bézier curve design

DOI10.1016/j.cagd.2021.102003zbMath1472.65024OpenAlexW3164359243MaRDI QIDQ2039111

Andriamahenina Ramanantoanina, Kai Hormann

Publication date: 2 July 2021

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2021.102003

zbMATH Keywords

rational Bézier curvecurve designbarycentric rational interpolation

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

The uniqueness of the rational Bézier polygon is unique ⋮ Computing the Riemannian center of mass on meshes ⋮ Fast evaluation of derivatives of Bézier curves ⋮ Rational Bézier curves with infinitely many integral points ⋮ Shape control tools for periodic Bézier curves

Uses Software

• AAA

Cites Work

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• On the Lebesgue constant of barycentric rational interpolation at equidistant nodes
• A fast and accurate algorithm for solving Bernstein-Vandermonde linear systems
• On the use of infinite control points in CAGD
• Rational functions for guaranteed and experimentally well-conditioned global interpolation
• Lebesgue constant minimizing linear rational interpolation of continuous functions over the interval
• Barycentric rational interpolation with no poles and high rates of approximation
• Projective transformations of the parameter of a Bernstein-Bézier curve
• Some New Aspects of Rational Interpolation
• On the Scalar Rational Interpolation Problem
• Rational Interpolation Using Incomplete Barycentric Forms
• Barycentric Lagrange Interpolation
• The AAA Algorithm for Rational Approximation
• Method of Lagrangian curvilinear interpolation

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