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Simplicial algorithms for minimizing polyhedral functions.
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ISBN: 0521791332 Year: 2001 Publisher: Cambridge Cambridge University Press

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Les fonctions polyédriques et modulaires
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Year: 1910 Publisher: Paris: Gauthier-Villars,

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Integer points in polyhedra : geometry, number theory, algebra, optimization : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integer Points in Polyhedra, Geometry, Number Theory, Algebra, Optimization, July 13-17, 2003, Snowbird, Utah

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Newton polyhedra without coordinates ; Newton polyhedra of ideals
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ISBN: 0821824953 Year: 1990 Publisher: Providence (R.I.): American Mathematical Society

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Nonlinear computational geometry
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ISBN: 1441909982 9786612835285 1282835289 1441909990 Year: 2010 Publisher: New York, N.Y. : Springer,

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An original motivation for algebraic geometry was to understand curves and surfaces in three dimensions. Recent theoretical and technological advances in areas such as robotics, computer vision, computer-aided geometric design and molecular biology, together with the increased availability of computational resources, have brought these original questions once more into the forefront of research. One particular challenge is to combine applicable methods from algebraic geometry with proven techniques from piecewise-linear computational geometry (such as Voronoi diagrams and hyperplane arrangements) to develop tools for treating curved objects. These research efforts may be summarized under the term nonlinear computational geometry. This volume grew out of an IMA workshop on Nonlinear Computational Geometry in May/June 2007 (organized by I.Z. Emiris, R. Goldman, F. Sottile, T. Theobald) which gathered leading experts in this emerging field. The research and expository articles in the volume are intended to provide an overview of nonlinear computational geometry. Since the topic involves computational geometry, algebraic geometry, and geometric modeling, the volume has contributions from all of these areas. By addressing a broad range of issues from purely theoretical and algorithmic problems, to implementation and practical applications this volume conveys the spirit of the IMA workshop.


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Polyhedral methods in geosciences
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ISBN: 3030693635 3030693627 Year: 2021 Publisher: Cham, Switzerland : Springer,

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