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arXiv · 1810.01546

Dihedral Rigidity and Deformation

Nina Amenta·Carlos Rojas
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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. Theoretically, we show that locally, almost everywhere, the map from realizable vectors of dihedrals to mesh embeddings is one-to-one. We experiment with a heuristic method for mapping straight-line interpolations in dihedral space to interpolations between mesh embeddings and produce smooth and intuitively appealing morphs between three-dimensional shapes.

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Nina Amenta, Carlos Rojas. 2018-10-03. Dihedral Rigidity and Deformation. https://arxiv.org/abs/1810.01546

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