Minimization on the Lie Group SO(3) and Related Manifolds
نویسندگان
چکیده
This paper presents a novel approach to carrying out numerical minimization procedures on the Lie Group SO(3) and related manifolds. The approach constructs a sequence of local parameterizations of the manifold SO(3) rather than relying on a single global parameterization such as Euler angles. Thus, the problems caused by the singularities in these global parameterizations are avoided. This research was supported by the NSF under grant number NYI IRI-9257990.
منابع مشابه
Minimization on the Lie GroupSO ( 3 ) and Related
This paper presents a novel approach to carrying out numerical minimization procedures on the Lie Group SO(3) and related manifolds. The approach constructs a sequence of local parameterizations of the manifold SO(3) rather than relying on a single global parameteri-zation such as Euler angles. Thus, the problems caused by the singularities in these global parameterizations are avoided.
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تاریخ انتشار 1994