Title Algebraic geometry and geometric modeling / Mohamed Elkadi, Bernard Mourrain, Ragni Piene, editors

Published Berlin ; New York : Springer, ©2006

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Description 1 online resource (x, 252 pages) : illustrations (some color) Series Mathematics and visualization Mathematics and visualization. Contents Algebraic geometry and geometric modeling: insight and computation / Ron Goldman -- Implicitization using approximation complexes / Marc Chardin -- Piecewise approximate implicitization: experiments using industrial data / Mohamed F. Shalaby [and others] -- Computing with parameterized varieties / Daniel Lazard -- Implizitization and distance bounds / Martin Aigner [and others] -- Singularities and their deformations: how they change the shape and view of objects / Alexandru Dimca -- Overview of topological properties of real algebraic surfaces / Viatcheslav Kharlamov -- Illustrating the classification of real cubic surfaces / Stephan Holzer, Oliver Labs -- Bézier patches on almost toric surfaces / Rimvydas Krasauskas -- On parametric surfaces of low degree in P³(C) / Mohamed Elkadi, André Galligo, Thi Ha Lê -- On the intersection with revolution and canal surfaces / Mario Fioravanti, Laureano Gonzalez-Vega, Ioana Necula -- A sampling algorithm computing self-intersections of parametric surfaces / A. Galligo, J.P. Pavone -- Elimination in generically rigid 3D geometric constraint systems / Jörg Peters [and others] -- Minkowski decomposition of convex lattice polygons / Ioannis z. Emiris, Elias P. Tsigaridas -- Reducing the number of variables of a polynomial / Enrico Carlini Summary 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. This book is a collection of articles bridging these two areas Bibliography Includes bibliographical references and index In Springer e-books Subject Geometry, Algebraic -- Congresses Curves on surfaces -- Mathematical models -- Congresses Geometry -- Data processing -- Congresses MATHEMATICS -- Geometry -- Algebraic. Geometry, Algebraic. Curves on surfaces -- Mathematical models. Geometry -- Data processing. Geometría algebraica -- Congresos Curvas sobre superficies -- Modelos matemáticsos -- Congresos Curves on surfaces -- Mathematical models Geometry, Algebraic Geometry -- Data processing Algebraïsche meetkunde. Geometrische methoden. Wiskundige modellen. Genre/Form Electronic books proceedings (reports) Conference papers and proceedings Conference papers and proceedings. Actes de congrès. Form Electronic book Author Elkadi, Mohamed Mourrain, Bernard Piene, Ragni ISBN 9783540332749 354033274X 9783540332756 3540332758 6610656673 9786610656677

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