A comprehensive characterization of the set of polynomial curves with rational rotation-minimizing frames

DOI10.1007/S10444-016-9473-0zbMath1390.53005arXiv1604.07008OpenAlexW2343169654MaRDI QIDQ2361147

Alessandra Sestini, Caterina Stoppato, Graziano Gentili, Rida T. Farouki, Carlotta Giannelli

Publication date: 29 June 2017

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07008

zbMATH Keywords

Pythagorean-hodograph curvesquaternion polynomialsrotation-minimizing framesrotation indicatrix

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Special algebraic curves and curves of low genus (14H45) Curves in Euclidean and related spaces (53A04) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (6)

Rational frames of minimal twist along space curves under specified boundary conditions ⋮ Mapping rational rotation-minimizing frames from polynomial curves on to rational curves ⋮ Optimal interpolation with spatial rational Pythagorean hodograph curves ⋮ Rational minimal-twist motions on curves with rotation-minimizing Euler-Rodrigues frames ⋮ \(C^{1}\) and \(C^{2}\) interpolation of orientation data along spatial Pythagorean-hodograph curves using rational adapted spline frames ⋮ Construction of periodic adapted orthonormal frames on closed space curves

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