Journal ArticleDOI
Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Premier mémoire. Sur quelques propriétés des formes quadratiques positives parfaites.
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This article is published in Crelle's Journal.The article was published on 1908-07-01. It has received 1062 citations till now.read more
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Voronoi diagrams—a survey of a fundamental geometric data structure
TL;DR: The Voronoi diagram as discussed by the authors divides the plane according to the nearest-neighbor points in the plane, and then divides the vertices of the plane into vertices, where vertices correspond to vertices in a plane.
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Three-dimensional alpha shapes
TL;DR: This article introduces the formal notion of the family of α-shapes of a finite point set in R 3 .
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Closest point search in lattices
TL;DR: An efficient closest point search algorithm, based on the Schnorr-Euchner (1995) variation of the Pohst (1981) method, is implemented and is shown to be substantially faster than other known methods.
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Geophysical inversion with a neighbourhood algorithm—I. Searching a parameter space
TL;DR: In this article, a derivative-free search method for finding models of acceptable data fit in a multidimensional parameter space is presented, which falls into the same class of method as simulated annealing and genetic algorithms, which are commonly used for global optimization problems.
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Accurate and efficient algorithm for Bader charge integration
Min Yu,Dallas R. Trinkle +1 more
TL;DR: An efficient, accurate method to integrate the basins of attraction of a smooth function defined on a general discrete grid and apply it to the Bader charge partitioning for the electron charge density is proposed.