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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie Effective Computational Geometry for Curves and Surfaces
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Effective Computational Geometry for Curves and Surfaces
(Broschiert, Englisch)
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Beschreibung
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. 106,99 €
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Technische Daten
Erscheinungsdatum
28.10.2010
Sprache
Englisch
EAN
9783642069871
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Mathematics and Visualization
Sonderedition
Nein
Seitenanzahl
344
Einbandart
Broschiert
Schlagwörter
CAGD, Computational Geometry, Computational topology, Computer Algebra, Computer-Aided Design (CAD), Computer-Aided Manufacturing (CAM), Differential geometry, Surface approximation and meshing, Triangulation, algorithms, construction, linear optimization, programming, robotics, topology
Thema-Inhalt
PBM - Geometrie
PBKS - Numerische Mathematik
UYZF - Informationsvisualisierung
UYT - Bildverarbeitung
TBJ - Mathematik für Ingenieure
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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