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Titlebook: Geometric Modeling and Algebraic Geometry; Bert Jüttler,Ragni Piene Book 2008 Springer-Verlag Berlin Heidelberg 2008 Algebraic Geometry.Cl

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书目名称Geometric Modeling and Algebraic Geometry
编辑Bert Jüttler,Ragni Piene
视频videohttp://file.papertrans.cn/384/383562/383562.mp4
概述Book arising from major European project in geometric modeling.Includes supplementary material:
图书封面Titlebook: Geometric Modeling and Algebraic Geometry;  Bert Jüttler,Ragni Piene Book 2008 Springer-Verlag Berlin Heidelberg 2008 Algebraic Geometry.Cl
描述The two ?elds of Geometric Modeling and Algebraic Geometry, though closely - lated, are traditionally represented by two almost disjoint scienti?c communities. Both ?elds deal with objects de?ned by algebraic equations, but the objects are studied in different ways. While algebraic geometry has developed impressive - sults for understanding the theoretical nature of these objects, geometric modeling focuses on practical applications of virtual shapes de?ned by algebraic equations. Recently, however, interaction between the two ?elds has stimulated new research. For instance, algorithms for solving intersection problems have bene?ted from c- tributions from the algebraic side. The workshop series on Algebraic Geometry and Geometric Modeling (Vilnius 1 2 2002 , Nice 2004 ) and on Computational Methods for Algebraic Spline Surfaces 3 (Kefermarkt 2003 , Oslo 2005) have provided a forum for the interaction between the two ?elds. The present volume presents revised papers which have grown out of the 2005 Oslo workshop, which was aligned with the ?nal review of the European project GAIA II, entitled Intersection algorithms for geometry based IT-applications 4 using approximate algebraic m
出版日期Book 2008
关键词Algebraic Geometry; Classification; Computer Aided Geometric Design; Geometric Algorithms; Geometric Mod
版次1
doihttps://doi.org/10.1007/978-3-540-72185-7
isbn_softcover978-3-642-44551-4
isbn_ebook978-3-540-72185-7
copyrightSpringer-Verlag Berlin Heidelberg 2008
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Ridges and Umbilics of Polynomial Parametric Surfacesits curvature line. As curves of . curvature, ridges are relevant in a number of applications including surface segmentation, analysis, registration, matching. In spite of these interests, given a smooth surface, no algorithm reporting a certified approximation of its ridges was known so far, even f
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https://doi.org/10.1007/978-3-663-06881-5In the GAIA-project we have combined knowledge from Computer Aided Geometric Design (CAGD), classical algebraic geometry and real symbolic computing to improve intersection algorithms for Computer Aided Design (CAD) systems. The focus has been on
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