Topological Modeling for Visualization

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.