The contribution of this paper lies in investigating the product of subgroups as generators of persistent submanifolds. The primary focus is on establishing necessary conditions to ascertain whether the product of subgroups can indeed generate a persistent submanifold. Furthermore, the introduced technique is applied to reevaluate and analyze a pre-existing example, demonstrating the validity of the results and their practical implications.
On the Product of Subgroups as Persistent Submanifolds of SE(3)
Di Paola V.;Zlatanov D.
2024-01-01
Abstract
The contribution of this paper lies in investigating the product of subgroups as generators of persistent submanifolds. The primary focus is on establishing necessary conditions to ascertain whether the product of subgroups can indeed generate a persistent submanifold. Furthermore, the introduced technique is applied to reevaluate and analyze a pre-existing example, demonstrating the validity of the results and their practical implications.
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