Smooth closed-form curves on the Lie group of rigid body motions are constructed via the De Casteljau algorithm. Due to the lack of a bi-invariant metric on $SE(3) $, the resulting curve depends on the choice of the metric tensor. The two most common cases are analyzed

The De Casteljau algorithm on SE(3) / Altafini, Claudio. - 258:(2001), pp. 23-34.

The De Casteljau algorithm on SE(3)

Altafini, Claudio
2001-01-01

Abstract

Smooth closed-form curves on the Lie group of rigid body motions are constructed via the De Casteljau algorithm. Due to the lack of a bi-invariant metric on $SE(3) $, the resulting curve depends on the choice of the metric tensor. The two most common cases are analyzed
2001
258
Nonlinear Control in Year 2000
23
34
Altafini, Claudio
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/30556
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 24
social impact