Null Reimannian cubics in tension in SO(3)

Lyle Noakes, T. Popiel

    Research output: Contribution to journalArticle

    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 languageEnglish
    Pages (from-to)477-488
    JournalIMA Journal of Mathematical Control and Information
    Volume22
    Issue number4
    DOIs
    Publication statusPublished - 2005

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