Algebraic geometry and geometric modeling
Author(s)
Bibliographic Information
Algebraic geometry and geometric modeling
（Mathematics and visualization）
Springer, c2006
- : hd.
Available at / 18 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hd.QAD||1||106061170
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: hd.516.35/EL512080122657
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Note
'This was the aim of the workshop entitled Algebraic Geometry and Geometric Modeling, held from September 27 to September 29, 2004, at theUniversity of Nice-Sophia Antipolis.' --Pref.
Description and Table of Contents
Description
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.
Table of Contents
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.- Bezier 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.
by "Nielsen BookData"
