Effective Computational Geometry for Curves and Surfaces - Couverture souple

9783642069871: Effective Computational Geometry for Curves and Surfaces

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ISBN 10 : 3642069878 ISBN 13 : 9783642069871

Editeur : Springer, 2010

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This title outlines the foundations of non-linear computational geometry. It covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Each chapter fully details and provides a tutorial introduction to important concepts and results. The focus is on methods which are both well founded mathematically and efficient in practice. Coverage includes references to open source software and discussion of potential applications of the presented techniques. This book can serve as a textbook on non-linear computational geometry. It will also be useful to engineers and researchers working in computational geometry or other fields, like structural biology, 3D medical imaging, CAD/CAM, robotics, and graphics.

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This book covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Each chapter fully details and provides a tutorial introduction to important concepts and results. The focus is on methods which are both well founded mathematically and efficient in practice. Coverage includes references to open source software and discussion of potential applications of the presented techniques.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Springer
Date d'�dition: 2010
Langue: anglais
ISBN 10: 3642069878
ISBN 13: 9783642069871
Reliure: Broch�
Num�ro d'�dition: 1
Nombre de pages: 356
�diteur: Boissonnat Jean-Daniel, Teillaud Monique
Coordonn�es du fabricant: non disponible
Personne responsable: CMN Printpool Inh. Mathis Neumann
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Effective Computational Geometry for Curves and Surfaces

Boissonnat, Jean-Daniel|Teillaud, Monique

Edit� par Springer Berlin Heidelberg, 2010

ISBN 10 : 3642069878 ISBN 13 : 9783642069871

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains recent progress in the interaction of mathematics, computer graphics, and CAGDThis book covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational top. N� de r�f. du vendeur 5046072

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Effective Computational Geometry for Curves and Surfaces

Monique Teillaud

Edit� par Springer Berlin Heidelberg, 2010

ISBN 10 : 3642069878 ISBN 13 : 9783642069871

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N� de r�f. du vendeur 9783642069871

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Effective Computational Geometry for Curves and Surfaces

Monique Teillaud

Edit� par Springer Berlin Heidelberg Okt 2010, 2010

ISBN 10 : 3642069878 ISBN 13 : 9783642069871

Neuf Taschenbuch

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Each chapter fully details and provides a tutorial introduction to important concepts and results. The focus is on methods which are both well founded mathematically and efficient in practice. Coverage includes references to open source software and discussion of potential applications of the presented techniques. 356 pp. Englisch. N� de r�f. du vendeur 9783642069871

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Effective Computational Geometry for Curves and Surfaces

Monique Teillaud

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg Okt 2010, 2010

ISBN 10 : 3642069878 ISBN 13 : 9783642069871

Neuf Taschenbuch

impression � la demande

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 356 pp. Englisch. N� de r�f. du vendeur 9783642069871

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