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).
|Journal||IMA Journal of Mathematical Control and Information|
|Publication status||Published - 2005|