DCG 2007 | Sciweavers

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DCG
2007

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A Monotonicity Property for Weighted Delaunay Triangulations

13 years 10 months ago

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David Glickenstein

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30

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DCG
2007

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Packing Cones and Their Negatives in Space

13 years 10 months ago

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Let C be a cone in R3 whose base B is a planar convex body in a horizontal plane π and whose tip is a point v /∈ π. Let C be a packing formed by translates of C and −C in R3...

Imre Bárány, Jirí Matousek

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DCG
2007

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Ball-Polyhedra

13 years 10 months ago

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We study two notions. One is that of spindle convexity. A set of circumradius not greater than one is spindle convex if, for any pair of its points, it contains every short circula...

Károly Bezdek, Zsolt Langi, Márton N...

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DCG
2007

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A Discrete Laplace-Beltrami Operator for Simplicial Surfaces

13 years 10 months ago

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Alexander I. Bobenko, Boris Springborn

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29

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DCG
2007

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Convexity in Topological Affine Planes

13 years 10 months ago

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We extend to topological afﬁne planes the standard theorems of convexity, among them the separation theorem, the anti-exchange theorem, Radon’s, Helly’s, Carath´eodory’s,...

Raghavan Dhandapani, Jacob E. Goodman, Andreas Hol...

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39

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DCG
2007

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Stability of Critical Points with Interval Persistence

13 years 10 months ago

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Scalar functions deﬁned on a topological space Ω are at the core of many applications such as shape matching, visualization and physical simulations. Topological persistence i...

Tamal K. Dey, Rephael Wenger

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DCG
2007

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A Combinatorial Property of Points and Balls, a Colored Version

13 years 10 months ago

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Any ﬁnite set X ⊂ Rd colored with d+3 2 colors, contains a rainbow subset Y ⊂ X, such that any ball that contains Y contains a positive fraction of the points of X. The bound...

Maria N. Prodromou

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22

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DCG
2007

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Typical Cells in Poisson Hyperplane Tessellations

13 years 10 months ago

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It is proved that the shape of the typical cell of a stationary and isotropic Poisson random hyperplane tessellation is, with high probability, close to the shape of a ball if the ...

Daniel Hug, Rolf Schneider

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2007

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Alcoved Polytopes, I

13 years 10 months ago

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The aim of this paper is to initiate the study of alcoved polytopes, which are polytopes arising from aﬃne Coxeter arrangements. This class of convex polytopes includes many clas...

Thomas Lam, Alexander Postnikov

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DCG
2007

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Multiple Coverings of the Plane with Triangles

13 years 10 months ago

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Gábor Tardos, Géza Tóth

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