Algebraic Geometry and Geometric Modeling
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...
| Other Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2006, 2006
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| Edition: | 1st ed. 2006 |
| Series: | Mathematics and Visualization
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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
- Bézier 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