Null Reimannian cubics in tension in SO(3)

Lyle Noakes; T. Popiel

doi:10.1093/imamci/dni040

Null Reimannian cubics in tension in SO(3)

Lyle Noakes, T. Popiel

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

11 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
Journal	IMA Journal of Mathematical Control and Information
Volume	22
Issue number	4
DOIs	https://doi.org/10.1093/imamci/dni040
Publication status	Published - 2005

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title = "Null Reimannian cubics in tension in SO(3)",

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).",

author = "Lyle Noakes and T. Popiel",

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AU - Popiel, T.

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AB - 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).

U2 - 10.1093/imamci/dni040

DO - 10.1093/imamci/dni040

M3 - Article

VL - 22

SP - 477

EP - 488

JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

SN - 0265-0754

IS - 4

ER -

Null Reimannian cubics in tension in SO(3)

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