Rational frames of minimal twist along space curves under specified boundary conditions

DOI10.1007/s10444-018-9599-3zbMath1419.14046OpenAlexW2790892740WikidataQ130157856 ScholiaQ130157856MaRDI QIDQ1633017

Hwan Pyo Moon, Rida T. Farouki

Publication date: 18 December 2018

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

Full work available at URL: https://escholarship.org/uc/item/4435w73c

zbMATH Keywords

angular velocityPythagorean-hodograph curvestwistspace curvesadapted orthonormal framesEuler-Rodrigues framesminimal twist frames

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Plane and space curves (14H50) Curves in Euclidean and related spaces (53A04) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Spatial \(C^2\) closed-loops of prescribed arc length defined by Pythagorean-hodograph curves ⋮ Construction of \(G^2\) spatial interpolants with prescribed arc lengths ⋮ 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 ⋮ \(G^{1}\) motion interpolation using cubic PH biarcs with prescribed length ⋮ Geometric interpolation of ER frames with \(G^2\) Pythagorean-hodograph curves of degree 7 ⋮ Construction of periodic adapted orthonormal frames on closed space curves

Uses Software

• BRENT

Cites Work

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