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Titlebook: Numerical Geometry, Grid Generation and Scientific Computing; Proceedings of the 1 Vladimir A. Garanzha,Lennard Kamenski,Hang Si Conference

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Out-of-core Constrained Delaunay Tetrahedralizations for Large Scenesn at the boundaries of the merged regions. We quantify the error using the aspect-ratio metric. The difference between the tetrahedralizations that our approach produce and the Delaunay tetrahedralization are small and the results are acceptable for most applications.
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Manifolds of Triangulations, Braid Groups of Manifolds, and the Groups ,ny two triangulations of a given manifold can be connected by a sequence of bistellar moves, or Pachner moves, see also Gelfand et al. (Discriminants, Resultants, and Multidimensional Determinants. Birkhäuser, Boston (1994)), Nabutovsky (Comm Pure Appl Math 49:1257–1270, 1996). In the present paper
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A Proof of the Invariant-Based Formula for the Linking Number and Its Asymptotic Behaviournvariant modulo rigid motions or isometries that preserve distances between points, and has been recently used in the elucidation of molecular structures. In 1976 Banchoff geometrically interpreted the linking number between two line segments. An explicit analytic formula based on this interpretatio
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The Singularity Set of Optimal Transportation Mapsortation maps is reduced to solving Monge–Ampère equations, which in turn is equivalent to construct Alexandrov polytopes. Furthermore, the regularity theory of Monge–Ampère equation explains mode collapsing issue in deep learning. Hence, computing and studying the singularity sets of OT maps become
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