Geometric Methods and Applications : For Computer Science and Engineering /
As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics...
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
2001.
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| Series: | Texts in applied mathematics ;
38. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Preface
- Introduction
- Basics of Affine Geometry
- Properties of Convex Sets, A Glimpse
- Embedding an Affine Space in a Vector Space
- Basics of Projective Geometry
- Basics of Euclidean Geometry
- The Cartan-Dieudonné Theorem
- Quaternions and Rotations
- Dirichlet-Voronoi Diagrams
- Basics of Hermitian Geometry
- Spectral Theorems
- Singular Value Decomposition (SVD) and Polar Form
- Applications of Euclidean Geometry
- Basics of Classical Lie Groups
- Basics of the Differential Geometry of Curves
- Basics of the Differential Geometry of Surfaces
- Appendix
- Bibliography
- Index.