Algebraic Geometry And Geometric Modelling - Rilegato

Rilegato

ISBN 10: 354033274X ISBN 13: 9783540332749

Casa editrice: Springer-Verlag New York Inc, 2006

Riassunto

This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.

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Contenuti

Algebraic geometry and geometric modeling: insight and computation.- Implicitization using approximation complexes.- Piecewise approximate implicitization: experiments using industrial data.- Computing with parameterized varieties.- Implicitization and Distance Bounds.- Singularities and their deformations: how they change the shape and view of objects.- Overview of topological properties of real algebraic surfaces.- Illustrating the classification of real cubic surfaces.- Bézier patches on almost toric surfaces.- On parametric surfaces of low degree in P3(C).- On the intersection with revolution and canal surfaces.- A sampling algorithm computing self-intersections of parametric surfaces.- Elimination in generically rigid 3D geometric constraint systems.- Minkowski decomposition of convex lattice polygons.- Reducing the number of variables of a polynomial.

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Dettagli dell'edizione

• Editore: Springer-Verlag New York Inc
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 354033274X
• ISBN 13: 9783540332749
• Rilegatura: Copertina rigida
• Numero di pagine: 252
• Redattore: Elkadi Mohamed, Mourrain Bernard, Piene Ragni
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania