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    DCG
    2008
    86views more  DCG 2008»
    Reconstruction Using Witness Complexes
    13 years 11 months ago
    Reconstruction Using Witness Complexes
    Download  graphics.stanford.edu
    We present a novel reconstruction algorithm that, given an input point set sampled from an object S, builds a one-parameter family of complexes that approximate S at different sca...
    Leonidas J. Guibas, Steve Oudot
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    DCG
    2008
    132views more  DCG 2008»
    Ehrhart Series and Lattice Triangulations
    13 years 11 months ago
    Ehrhart Series and Lattice Triangulations
    Download  math.stanford.edu
    Abstract We express the generating function for lattice points in a rational polyhedral cone with a simplicial subdivision in terms of multivariate analogues of the h-polynomials o...
    Sam Payne
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    DCG
    2008
    68views more  DCG 2008»
    Neighborly Embedded Manifolds
    13 years 11 months ago
    Neighborly Embedded Manifolds
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    Gil Kalai, Avi Wigderson
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    DCG
    2008
    82views more  DCG 2008»
    Schnyder Woods and Orthogonal Surfaces
    13 years 11 months ago
    Schnyder Woods and Orthogonal Surfaces
    Download  www.math.tu-berlin.de
    In this paper we study connections between planar graphs, Schnyder woods, and orthogonal surfaces. Schnyder woods and the face counting approach have important applications in gra...
    Stefan Felsner, Florian Zickfeld
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    DCG
    2008
    51views more  DCG 2008»
    A Sharper Estimate on the Betti Numbers of Sets Defined by Quadratic Inequalities
    13 years 11 months ago
    A Sharper Estimate on the Betti Numbers of Sets Defined by Quadratic Inequalities
    Download  www.math.purdue.edu
    Saugata Basu, Michael Kettner
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    DCG
    2008
    47views more  DCG 2008»
    There Are Integral Heptagons, no Three Points on a Line, no Four on a Circle
    13 years 11 months ago
    There Are Integral Heptagons, no Three Points on a Line, no Four on a Circle
    Download  www.wm.uni-bayreuth.de
    Tobias Kreisel, Sascha Kurz
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    DCG
    2008
    79views more  DCG 2008»
    Automorphisms and Distinguishing Numbers of Geometric Cliques
    13 years 11 months ago
    Automorphisms and Distinguishing Numbers of Geometric Cliques
    Download  carbon.ucdenver.edu
    Michael O. Albertson, Debra L. Boutin
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    DCG
    2008
    86views more  DCG 2008»
    Efficient Algorithms for Maximum Regression Depth
    13 years 11 months ago
    Efficient Algorithms for Maximum Regression Depth
    Download  www.cs.uu.nl
    We investigate algorithmic questions that arise in the statistical problem of computing lines or hyperplanes of maximum regression depth among a set of n points. We work primarily...
    Marc J. van Kreveld, Joseph S. B. Mitchell, Peter ...
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    DCG
    2008
    69views more  DCG 2008»
    On Projections of Semi-Algebraic Sets Defined by Few Quadratic Inequalities
    13 years 11 months ago
    On Projections of Semi-Algebraic Sets Defined by Few Quadratic Inequalities
    Download  www.math.purdue.edu
    Let S Rk+m be a compact semi-algebraic set defined by P1 0, . . . , P 0, where Pi R[X1, . . . , Xk, Y1, . . . , Ym], and deg(Pi) 2, 1 i . Let denote the standard projection f...
    Saugata Basu, Thierry Zell
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    DCG
    2008
    82views more  DCG 2008»
    Visibility Graphs of Point Sets in the Plane
    13 years 11 months ago
    Visibility Graphs of Point Sets in the Plane
    Download  www.math.uni-rostock.de
    The visibility graph V(X) of a discrete point set X R2 has vertex set X and an edge xy for every two points x, y X whenever there is no other point in X on the line segment betw...
    Florian Pfender
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