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 analyzedFile in questo prodotto:
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