Null Riemannian cubics in tension in SO(3) |
| |
| Authors: | Noakes Lyle; Popiel Tomasz |
| |
| Institution: |
School of Mathematics and Statistics, University of Western Australia, Nedlands, WA 6009, Australia
|
| |
| Abstract: | ** Email: lyle{at}maths.uwa.edu.au*** Email: popiet01{at}maths.uwa.edu.au Riemannian cubics in tension in the rotation group SO(3) arevariational curves with applications to interpolation problemsin computer graphics and rigid-body trajectory planning. Theyare related by a linking equation to Lie quadratics in tension(LQT) in the Lie algebra so(3). This paper provides a qualitativeanalysis of the null case of LQT in so(3). |
| |
| Keywords: | Lie group Lie algebra Riemannian cubic in tension Lie quadratic curvature torsion asymptotics axes |
| 本文献已被 Oxford 等数据库收录！ |
