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    DCG
    2007
    83views more  DCG 2007»
    The Genus of a Digital Image Boundary Is Determined by Its Foreground, Background, and Reeb Graphs
    13 years 5 months ago
    The Genus of a Digital Image Boundary Is Determined by Its Foreground, Background, and Reeb Graphs
    Download  home.gwu.edu
    Weprovethatthegenusoftheboundaryofadigitalimageispreciselyhalfofthe sum of the cycle ranks of three particular graphs: the “foreground graph” and “background graph,” which ...
    Lowell Abrams, Donniell E. Fishkind
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    DCG
    2007
    70views more  DCG 2007»
    Fiber Fans and Toric Quotients
    13 years 5 months ago
    Fiber Fans and Toric Quotients
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    The GIT chamber decomposition arising from a subtorus action on a polarized quasiprojective toric variety is a polyhedral complex. Denote by Σ the fan that is the cone over the po...
    Alastair Craw, Diane Maclagan
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    DCG
    2007
    67views more  DCG 2007»
    Note on an Inequality of Wegner
    13 years 5 months ago
    Note on an Inequality of Wegner
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    G. Wegner [12] gave a geometric characterization of all so–called Groemer packing of n ≥ 2 unit discs in E2 that are densest packings of n unit discs with respect to the conve...
    Károly J. Böröczky, Imre Z. Ruzsa
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    DCG
    2007
    81views more  DCG 2007»
    Lines Tangent to Four Triangles in Three-Dimensional Space
    13 years 5 months ago
    Lines Tangent to Four Triangles in Three-Dimensional Space
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    Hervé Brönnimann, Olivier Devillers, S...
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    DCG
    2007
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    Frobenius Problem and the Covering Radius of a Lattice
    13 years 5 months ago
    Frobenius Problem and the Covering Radius of a Lattice
    Download  www.claremontmckenna.edu
    Lenny Fukshansky, Sinai Robins
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    DCG
    2007
    69views more  DCG 2007»
    Realizations of the Associahedron and Cyclohedron
    13 years 5 months ago
    Realizations of the Associahedron and Cyclohedron
    Download  geom.mi.fu-berlin.de
    Abstract. We describe many different realizations with integer coordinates for the associahedron (i.e. the Stasheff polytope) and for the cyclohedron (i.e. the Bott-Taubes polyto...
    Christophe Hohlweg, Carsten E. M. C. Lange
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    DCG
    2007
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    Dynamic Enumeration of All Mixed Cells
    13 years 5 months ago
    Dynamic Enumeration of All Mixed Cells
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    Tomohiko Mizutani, Akiko Takeda, Masakazu Kojima
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    DCG
    2007
    58views more  DCG 2007»
    Harmonic Algebraic Curves and Noncrossing Partitions
    13 years 5 months ago
    Harmonic Algebraic Curves and Noncrossing Partitions
    Download  math.arizona.edu
    Motivated by Gauss’s first proof of the Fundamental Theorem of Algebra, we study the topology of harmonic algebraic curves. By the maximum principle, a harmonic curve has no bou...
    Jeremy L. Martin, David Savitt, Ted Singer
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