Polyhedral and algebraic methods in computational geometry /

Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry.   The first part of the book studies classical problem...

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書目詳細資料
Main Authors: Joswig, Michael (Author), Theobald, Thorsten (Author)
企業作者: SpringerLink (Online service)
格式: 電子書
語言:English
出版: London Springer London Imprint: Springer, 2013.
叢編:Universitext,
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書本目錄:
  • Introduction and Overview
  • Geometric Fundamentals
  • Polytopes and Polyhedra
  • Linear Programming
  • Computation of Convex Hulls
  • Voronoi Diagrams
  • Delone Triangulations
  • Algebraic and Geometric Foundations
  • Gröbner Bases and Buchberger's Algorithm
  • Solving Systems of Polynomial Equations Using Gröbner Bases
  • Reconstruction of Curves
  • Plücker Coordinates and Lines in Space
  • Applications of Non-Linear Computational Geometry
  • Algebraic Structures
  • Separation Theorems
  • Algorithms and Complexity
  • Software
  • Notation.