Topological modeling for visualization
著者
書誌事項
Topological modeling for visualization
Springer, c1997
大学図書館所蔵 全51件
注記
Includes bibliographical references and index
内容説明・目次
内容説明
This work focuses on the contribution of topology to computer visualization methods. It covers not only linear but also non-linear problems. It contains examples, and only requires knowledge of high-school mathematics.
目次
- Part 1 Foundation: curves
- the notion of a Riemannian metric
- local theory of surfaces
- the classification of surfaces
- abstract manifolds
- critical points and Morse theory
- analyzing human body motions using manifolds and critical points
- computer examination of surfaces and Morse functions
- height functions and discrete functions
- homotopies and surface generation
- homology
- geodesics
- transformation groups. Part 2 Advanced subjects: hyperbolic geometry and topology
- Hamiltonian system with two degrees of freedom
- topological and orbital analysis of integrable Hamiltonian systems
- ridges, ravines and singularities.
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