Title | Visualization and Mathematics [electronic resource] : Experiments, Simulations and Environments / edited by Hans-Christian Hege, Konrad Polthier |
---|---|
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997 |
Connect to | http://dx.doi.org/10.1007/978-3-642-59195-2 |
Descript | XIX, 388 p. online resource |
I. Visualizing Mathematics -- The Minimax Sphere Eversion -- Exploring Plane Hyperbolic Geometry -- Visualizing Nonlinear Electrodynamics -- The Use of Computer Graphics for Solving Problems in Singularity Theory -- What Should a Surface in 4-Space Look Like? -- Animation of Algebraic Surfaces -- II. Geometric Algorithms and Experiments -- Using Symmetry Features of the Surface Evolver to Study Foams -- Constant Mean Curvature Surfaces Derived from Delaunayโs and Wenteโs Examples -- Visualization of Periodic Tilings -- An Algorithm for Discrete Constant Mean Curvature Surfaces -- III. Visualization Algorithms and Data Structures -- Efficient Calculation of Subdivision Surfaces for Visualization -- Fast Line Integral Convolution for Arbitrary Surfaces in 3D -- Visualization of Parallel Data based on Procedural Access -- IV. Visualization Environments -- A new 3D Graphics Library: Concepts, Implementation, and Examples -- A Generic Approach to Computer Graphics -- MRT โ A Visualization Tool Addressing Problems โoutsideโ the Classical Rendering Domain -- Oorange: A Virtual Laboratory for Experimental Mathematics -- Linear Inductive Reductive Dataflow System for ViSC -- See what I mean? Using Graphics Toolkits to Visualise Numerical Data -- V. Visualization and Simulation Techniques -- Numerical Algorithms and Visualization in Medical Treatment Planning -- Level Set Methods for Curvature Flow, Image Enchancement, and Shape Recovery in Medical Images -- Numerical Methods, Simulations and Visualization for Compressible Flows -- Appendix: Color Plates