Null Riemannian cubics in tension in SO(3)

Lyle Noakes; Tomasz Popiel

doi:10.1093/imamci/dni040

Null Riemannian cubics in tension in SO(3)

Lyle Noakes, Tomasz Popiel

Research output: Contribution to journal › Article › Research › peer-review

13 Citations (Scopus)

Abstract

Riemannian cubics in tension in the rotation group SO(3) are variational curves with applications to interpolation problems in computer graphics and rigid-body trajectory planning. They are related by a linking equation to Lie quadratics in tension (LQT) in the Lie algebra so(3). This paper provides a qualitative analysis of the null case of LQT in so(3).

Original language	English
Pages (from-to)	477-488
Number of pages	12
Journal	IMA Journal of Mathematical Control and Information
Volume	22
Issue number	4
DOIs	https://doi.org/10.1093/imamci/dni040
Publication status	Published - Dec 2005
Externally published	Yes

Keywords

Asymptotics
Axes
Curvature
Lie algebra
Lie group
Lie quadratic
Riemannian cubic in tension
Torsion

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10.1093/imamci/dni040

Cite this

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KW - Asymptotics

KW - Axes

KW - Curvature

KW - Lie algebra

KW - Lie group

KW - Lie quadratic

KW - Riemannian cubic in tension

KW - Torsion

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Null Riemannian cubics in tension in SO(3)

Abstract

Keywords

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