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Unit quaternion integral curve: A new type of fair free-form curves

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Publication:1978359
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DOI10.1016/S0167-8396(99)00038-2zbMath0939.68124OpenAlexW2036757766MaRDI QIDQ1978359

Kenjiro Takai Miura

Publication date: 4 June 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(99)00038-2


zbMATH Keywords

clothoidfair free-form curveunit quaternion curveunit quaternion integral curve


Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)


Related Items (7)

Geometric Hermite interpolation by logarithmic arc splines ⋮ Curve and surface fitting models based on the diagonalizable differential systems ⋮ \(C^2\)-continuous orientation planning for robot end-effector with B-spline curve based on logarithmic quaternion ⋮ On the heights of quaternionic vectors ⋮ Full-scale reconstruction for transmission line galloping curves based on attitudes sensors ⋮ Decompositions of some types of quaternionic matrices ⋮ Euler-Rodrigues frames on spatial Pythagorean-hodograph curves.







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