Algebraic Geometry and Geometric Modeling
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Beschreibung
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.
Includes supplementary material: sn.pub/extras
Autor*in
Mohamed Elkadi
Themen in »Algebraic Geometry and Geometric Modeling«
3D algebraic computation algorithm algorithms geometry implicitization linear optimization modeling rendering singularity symbolic-numeric computation topology