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    COMPGEOM
    2005
    ACM
    128views Discrete Geometry» more  COMPGEOM 2005»
    On the exact computation of the topology of real algebraic curves
    13 years 9 months ago
    On the exact computation of the topology of real algebraic curves
    Download  www.mpi-inf.mpg.de
    We consider the problem of computing a representation of the plane graph induced by one (or more) algebraic curves in the real plane. We make no assumptions about the curves, in p...
    Raimund Seidel, Nicola Wolpert
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    ISSAC
    2007
    Springer
    146views Mathematics» more  ISSAC 2007»
    Fast and exact geometric analysis of real algebraic plane curves
    14 years 1 months ago
    Fast and exact geometric analysis of real algebraic plane curves
    Download  www.mpi-inf.mpg.de
    An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
    Arno Eigenwillig, Michael Kerber, Nicola Wolpert
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    ESA
    2003
    Springer
    141views Algorithms» more  ESA 2003»
    Jacobi Curves: Computing the Exact Topology of Arrangements of Non-singular Algebraic Curves
    14 years 20 days ago
    Jacobi Curves: Computing the Exact Topology of Arrangements of Non-singular Algebraic Curves
    Download  dimacs.rutgers.edu
    We present an approach that extends the BentleyOttmann sweep-line algorithm [3] to the exact computation of the topology of arrangements induced by non-singular algebraic curves o...
    Nicola Wolpert
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    SMA
    2008
    ACM
    149views Solid Modeling» more  SMA 2008»
    Exact arrangements on tori and Dupin cyclides
    13 years 7 months ago
    Exact arrangements on tori and Dupin cyclides
    Download  www.mpi-inf.mpg.de
    An algorithm and implementation is presented to compute the exact arrangement induced by arbitrary algebraic surfaces on a parametrized ring Dupin cyclide. The family of Dupin cyc...
    Eric Berberich, Michael Kerber
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    COMPGEOM
    2008
    ACM
    128views Discrete Geometry» more  COMPGEOM 2008»
    Exact geometric-topological analysis of algebraic surfaces
    13 years 9 months ago
    Exact geometric-topological analysis of algebraic surfaces
    Download  www.mpi-inf.mpg.de
    We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f
    Eric Berberich, Michael Kerber, Michael Sagraloff
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