Topological Modeling for Visualization

A.T. Fomenko, Tosiyasu L. Kunii (Autoren)

Buch | Hardcover

398 Seiten

1997
Springer Verlag, Japan
978-4-431-70200-9 (ISBN)

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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.

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.

Erscheint lt. Verlag	31.12.1997
Zusatzinfo	7 colour & 330 b&w figures, bibliography, index
Verlagsort	Tokyo
Sprache	englisch
Einbandart	gebunden
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	4-431-70200-8 / 4431702008
ISBN-13	978-4-431-70200-9 / 9784431702009
Zustand	Neuware