Algebraic Geometry and Geometric Modeling

✍ Scribed by Mohamed Elkadi, Bernard Mourrain, Ragni Piene

Publisher: Springer
Year: 2006
Tongue: English
Leaves: 252
Series: Mathematics and Visualization
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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