Algebraic geometry and geometric modeling

Algebraic Geometry provides an impressive theory targeting the understanding of geometric objects defined algebraically. Geometric Modeling uses every day, in order to solve practical and difficult problems, digital shapes based on algebraic models. In this book, we have collected articles bridging...

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Bibliografiska uppgifter
Huvudupphovsman: Elkadi, Mohamed
Övriga upphovsmän: Mourrain, Bernard (Chefredaktör, huvudredaktör), Piene, Ragni (Chefredaktör, huvudredaktör)
Materialtyp: Livre numérique
Språk:Anglais
Publicerad: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Upplaga:1st ed. 2006.
Serie:Mathematics and Visualization
Ämnen:
Länkar:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Anmärkning: Description d'après consultation du 1er mars 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Algebraic Geometry and Geometric Modeling, Texte imprimé, 9783642069932
• Algebraic Geometry and Geometric Modeling, Texte imprimé, 9783540822424
• Algebraic geometry and geometric modeling, Mohamed Elkadi, Bernard Mourrain, Ragni Piene, editors, 2006, Berlin, Springer, 1 volume (X-252 pages), Mathematics and visualization, 3-540-33274-X
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245 1 0 |a Algebraic geometry and geometric modeling   |c edited by Mohamed Elkadi, Bernard Mourrain, Ragni Piene. 
250 |a 1st ed. 2006. 
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504 |a Notes bibliogr. Index 
505 1 |a 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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520 |a Algebraic Geometry provides an impressive theory targeting the understanding of geometric objects defined algebraically. Geometric Modeling uses every day, in order to solve practical and difficult problems, digital shapes based on algebraic models. In this book, we have collected articles bridging these two areas. The confrontation of the different points of view results in a better analysis of what the key challenges are and how they can be met. We focus on the following important classes of problems: implicitization, classification, and intersection. The combination of illustrative pictures, explicit computations and review articles will help the reader to handle these subjects. 
650 |a Mathématiques de l'ingénieur 
650 |a Géométrie algébrique 
700 1 |a Mourrain, Bernard.  |4 pbd 
700 1 |a Piene, Ragni.  |4 pbd 
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