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- W3024900848 abstract "Abstract We consider defining the embedding of a triangle mesh into R 3 , up to translation, rotation, and scale, by its vector of dihedral angles. On the theoretical side, we show that locally the map from realizable vectors of dihedrals to mesh embeddings is one-to-one almost everywhere. On the implementation side, we are interested in using the dihedral parameterization in shape analysis. This demands a way to visualize statistical results, for instance an average shape. To this end, we give a heuristic method for mapping interpolations in dihedral space to interpolations between input mesh embeddings, and we visualize statistical analyses of several families of organic shapes." @default.
- W3024900848 created "2020-05-21" @default.
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- W3024900848 date "2020-10-01" @default.
- W3024900848 modified "2023-10-16" @default.
- W3024900848 title "Dihedral deformation and rigidity" @default.
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- W3024900848 doi "https://doi.org/10.1016/j.comgeo.2020.101657" @default.
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