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Visualization and Mathematics : Experiments, Simulations and Environments / edited by H.-C. Hege, K. Polthier
版 | 1st ed. 1997. |
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出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 1997 |
本文言語 | 英語 |
大きさ | XIX, 388 p : online resource |
著者標目 | Hege, H.-C editor Polthier, K editor SpringerLink (Online service) |
件 名 | LCSH:Information visualization LCSH:Geometry, Differential LCSH:Computer graphics LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Topology FREE:Data and Information Visualization FREE:Differential Geometry FREE:Computer Graphics FREE:Global Analysis and Analysis on Manifolds FREE:Topology |
一般注記 | 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 Delaunay’s and Wente’s 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 — A Visualization Tool Addressing Problems ‘outside’ 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 Visualization and mathematics have begun a fruitful relationship, establishing many links between problems and solutions of both fields. In some areas of mathematics, such as numerical mathematics and differential geometry, visualization techniques are applied with great success. On the other hand, visualization methods are relying heavily on mathematical concepts. Applications of visualization in mathematical research as well as the use of mathematical methods in visualization have been topic of an international workshop in Berlin in June 1995. Selected contributions treat topics of particular interest in current research, addressing subjects like visualization of mathematical spaces, visualization and simulation techniques, mathematical experiments, graphics environments, and description and modeling of geometric objects. Experts in these fields are reporting on their latest work, giving an overview on this fascinating new area. The reader will get insight to state-of-the-art techniques for solving visualization problems and mathematical questions HTTP:URL=https://doi.org/10.1007/978-3-642-59195-2 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783642591952 |
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EB00237891 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA76.9.I52 DC23:14,226 |
書誌ID | 4000110048 |
ISBN | 9783642591952 |
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