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Towards the three-dimensional Arrangement of Quadrics

an exact parametric approach - .
BuchKartoniert, Paperback
152 Seiten
Englisch
LAP Lambert Academic Publishingerschienen am29.12.2010
This book presents a complete, exact and efficient algorithm to compute the adjacency graph of an arrangement of quadrics, i.e., surfaces of algebraic degree 2. Extending an approach for an exact parameterization of the intersection curves of two quadrics, the approach computes the exact parameter value for intersection points and from that the adjacency graph of the arrangement. The presented implementation is complete in the sense that it can handle all kinds of inputs. It is exact in that it always computes the mathematically correct result. It is efficient measured in running times, i.e. it compares favorably to the only previously implemented approach. The approach was realized in the context of the EXACUS project whose central goal is the development of a demonstrator of a reliable and efficient CAD geometry kernel spending great effort on completeness, exactness, efficiency, documentation and reusability. Due to its specific requirements, the work on quadrics had particular impact on the generic number type support and the modular methods used within EXACUS, which is by now successfully integrated into CGAL, the computational geometry algorithms library.mehr

Produkt

KlappentextThis book presents a complete, exact and efficient algorithm to compute the adjacency graph of an arrangement of quadrics, i.e., surfaces of algebraic degree 2. Extending an approach for an exact parameterization of the intersection curves of two quadrics, the approach computes the exact parameter value for intersection points and from that the adjacency graph of the arrangement. The presented implementation is complete in the sense that it can handle all kinds of inputs. It is exact in that it always computes the mathematically correct result. It is efficient measured in running times, i.e. it compares favorably to the only previously implemented approach. The approach was realized in the context of the EXACUS project whose central goal is the development of a demonstrator of a reliable and efficient CAD geometry kernel spending great effort on completeness, exactness, efficiency, documentation and reusability. Due to its specific requirements, the work on quadrics had particular impact on the generic number type support and the modular methods used within EXACUS, which is by now successfully integrated into CGAL, the computational geometry algorithms library.
Details
ISBN/GTIN978-3-8433-8573-2
ProduktartBuch
EinbandartKartoniert, Paperback
Erscheinungsjahr2010
Erscheinungsdatum29.12.2010
Seiten152 Seiten
SpracheEnglisch
Gewicht219 g
Artikel-Nr.10282971

Autor

Michael Hemmer is currently a postdoctoral fellow at the university of Tel Aviv with previous engagements at MPII Saarbrücken and INRIA - Méditerranée. He is an active member of the editorial board of CGAL, the computational geometry algorithms library project. Further interest are computer graphics, software engineering, and teaching.