rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Effective Computational Geometry for Curves and Surfaces
  name:
    name part: Boissonnat, Jean-Daniel.
    role:
      role term: editor.
  name:
    name part: Teillaud, Monique.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 344 p. online resource.
  abstract: Computational geometry emerged as a discipline in the seventies and has had considerable success in improving the asymptotic complexity of the solutions tobasicgeometricproblemsincludingconstructionsofdatastructures,convex hulls, triangulations, Voronoi diagrams and geometric arrangements as well as geometric optimisation. However, in the mid-nineties, it was recognized that the computational geometry techniques were far from satisfactory in practice and a vigorous e?ort has been undertaken to make computational geometry more practical. This e?ort led to major advances in robustness, geometric software engineering and experimental studies, and to the development of a large library of computational geometry algorithms, Cgal. The goal of this book is to take into consideration the multidisciplinary nature of the problem and to provide solid mathematical and algorithmic foundationsfore?ectivecomputationalgeometryforcurvesandsurfaces. This book covers two main approaches. In a ?rst part, we discuss exact geometric algorithms for curves and s- faces. We revisit two prominent data structures of computational geometry, namely arrangements (Chap. 1) and Voronoi diagrams (Chap. 2) in order to understand how these structures, which are well-known for linear objects, behave when de?ned on curved objects. The mathematical properties of these structures are presented together with algorithms for their construction. To ensure the e?ectiveness of our algorithms, the basic numerical computations that need to be performed are precisely speci?ed, and tradeo?s are considered between the complexity of the algorithms (i. e. the number of primitive calls), and the complexity of the primitives and their numerical stability. Chap.
  table of contents: 1 Arrangements - Efi Fogel, Dan Halperin, Lutz Kettner, Monique Teillaud, Ron Wein, Nicola Wolpert -- 2 Curved Voronoi Diagrams - Jean-Daniel Boissonnat, Camille Wormser, Mariette Yvinec -- 3 Algebraic Issues in Computational Geometry - Bernard Mourrain, Sylvain Pion, Susanne Schmitt, Jean-Pierre Técourt, Elias Tsigaridas, Nicola Wolpert -- 4 Differential Geometry on Discrete Surfaces - David Cohen-Steiner, Jean-Marie Morvan -- 5 Meshing of Surfaces - Jean-Daniel Boissonnat, David Cohen-Steiner, Bernard Mourrain, Günter Rote, Gert Vegter -- 6 Delaunay Triangulation Based Surface Reconstruction - Frédéric Cazals, Joachim Giesen -- 7 Computational Topology: An Introduction - Günter Rote, Gert Vegter -- 8 Appendix - Generic Programming and the Cgal Library - Efi Fogel, Monique Teillaud -- References -- Index.
  note: edited by Jean-Daniel Boissonnat, Monique Teillaud.
  subject:
    topic: Mathematics
  subject:
    topic: Computer graphics
  subject:
    topic: Computer mathematics
  subject:
    topic: Visualization
  subject:
    topic: Numerical analysis
  subject:
    topic: Geometry
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mathematics
  subject:
    topic: Geometry
  subject:
    topic: Computational Mathematics and Numerical Analysis
  subject:
    topic: Visualization
  subject:
    topic: Computer Imaging, Vision, Pattern Recognition and Graphics
  subject:
    topic: Numerical Analysis
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  classification: QA440-699
  classification: 516
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783540332596
  identifier: http://dx.doi.org/10.1007/978-3-540-33259-6
  record info:
    record creation date: 100301
    record change date: 20151204170036.0
    record identifier: 978-3-540-33259-6