Algebraic Geometry and Geometric Modeling
- المؤلف
- Mohamed Elkadi, Bernard Mourrain, Ragni Piene
- سنة النشر
- 2006
- الناشر
- Springer
- لغة الملف
- انكليزي
- نوع الملف
- Book
- تصنيف الكتاب
- Mathematics and Statistics
- تحميل الكتاب قراءة الكتاب
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.
الكلمات المفتاحية: Mathematics and Statistics / 3D / Algebraic computation / Algorithms / Geometry / Implicitization / Linear optimization / Modeling / Rendering / Singularity / Symbolic-numeric computation / Topology