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    DCG
    2007
    66views more  DCG 2007»
    A Monotonicity Property for Weighted Delaunay Triangulations
    14 years 9 days ago
    A Monotonicity Property for Weighted Delaunay Triangulations
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    David Glickenstein
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    DCG
    2007
    76views more  DCG 2007»
    Packing Cones and Their Negatives in Space
    14 years 21 days ago
    Packing Cones and Their Negatives in Space
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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
    86views more  DCG 2007»
    Ball-Polyhedra
    14 years 21 days ago
    Ball-Polyhedra
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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
    14 years 21 days ago
    A Discrete Laplace-Beltrami Operator for Simplicial Surfaces
    Download  www.math.tu-berlin.de
    Alexander I. Bobenko, Boris Springborn
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    DCG
    2007
    78views more  DCG 2007»
    Convexity in Topological Affine Planes
    14 years 21 days ago
    Convexity in Topological Affine Planes
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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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    DCG
    2007
    77views more  DCG 2007»
    Stability of Critical Points with Interval Persistence
    14 years 21 days ago
    Stability of Critical Points with Interval Persistence
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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
    106views more  DCG 2007»
    A Combinatorial Property of Points and Balls, a Colored Version
    14 years 21 days ago
    A Combinatorial Property of Points and Balls, a Colored Version
    Download  www.ucl.ac.uk
    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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    DCG
    2007
    79views more  DCG 2007»
    Typical Cells in Poisson Hyperplane Tessellations
    14 years 21 days ago
    Typical Cells in Poisson Hyperplane Tessellations
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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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    DCG
    2007
    125views more  DCG 2007»
    Alcoved Polytopes, I
    14 years 21 days ago
    Alcoved Polytopes, I
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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
    55views more  DCG 2007»
    Multiple Coverings of the Plane with Triangles
    14 years 21 days ago
    Multiple Coverings of the Plane with Triangles
    Download  www.cs.bme.hu
    Gábor Tardos, Géza Tóth
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