TY - BOOK AU - Elkadi,,Mohamed AU - Mourrain,,Bernard AU - Piene,,Ragni TI - Algebraic geometry and geometric modeling T2 - Mathematics and visualization SN - 354033274X U1 - 516.35 PY - 2006/// CY - [S.l.] PB - Springer KW - Applications of Computing KW - Computer aided design (CAD) KW - Computers KW - Mathematics KW - Computer Books: General KW - Applied KW - Computer science KW - Computers / Computer Science KW - Geometry - Algebraic KW - Mathematics / Applied KW - Mathematics / Geometry / Algebraic KW - Congresses KW - Curves on surfaces KW - Data processing KW - Geometry KW - Geometry, Algebraic KW - Mathematical models KW - Science & Mathematics: Textbooks & Study Guides N1 - 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 ER -