\(C^{1}\) and \(C^{2}\) interpolation of orientation data along spatial Pythagorean-hodograph curves using rational adapted spline frames

DOI10.1016/j.cagd.2018.07.005zbMath1505.65083OpenAlexW2886057274WikidataQ114202338 ScholiaQ114202338MaRDI QIDQ668987

Hwan Pyo Moon, Rida T. Farouki

Publication date: 20 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2018.07.005

zbMATH Keywords

angular accelerationangular velocityPythagorean-hodograph curvestwistrotation-minimizing frameEuler-Rodrigues framerational adapted spline frames

Mathematics Subject Classification ID

Numerical interpolation (65D05) Curves in Euclidean and related spaces (53A04) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Construction of \(G^2\) spatial interpolants with prescribed arc lengths, Geometric interpolation of ER frames with \(G^2\) Pythagorean-hodograph curves of degree 7, Construction of periodic adapted orthonormal frames on closed space curves

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