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• W3043607546 abstract "The analysis of manifold valued data using embedding based methods is linked to the problem of finding suitable embeddings. In this paper we are interested in embeddings of quotient manifolds $mathrm{SO}(3)/mathcal{S}$ of the rotation group modulo finite symmetry groups. Data on such quotient manifolds naturally occur in crystallography, material science and biochemistry. We provide a generic framework for the construction of such embeddings which generalizes the embeddings constructed in arXiv:1701.01579. The central advantage of our larger class of embeddings is that it comprises isometric embeddings for all crystallographic symmetry groups." @default.
• W3043607546 created "2020-07-23" @default.
• W3043607546 creator A5019182999 @default.
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• W3043607546 date "2020-07-19" @default.
• W3043607546 modified "2023-09-27" @default.
• W3043607546 title "Locally Isometric Embeddings of Quotients of the Rotation Group Modulo Finite Symmetries" @default.
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