Level set methods and dynamic implicit surfaces
著者
書誌事項
Level set methods and dynamic implicit surfaces
（Applied mathematical sciences, v. 153）
Springer, c2003
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注記
Includes bibliographical references (p. [259]-269) and index
内容説明・目次
内容説明
Very hot area with a wide range of applications; Gives complete numerical analysis and recipes, which will enable readers to quickly apply the techniques to real problems; Includes two new techniques pioneered by Osher and Fedkiw; Osher and Fedkiw are internationally well-known researchers in this area
目次
Preface * Part I Implicit Surfaces * Implicit Functions * Signed Distance Functions * Part II Level Set Methods * Motion in an Externally Generated Velocity Field * Motion Involving Mean Curvature * Hamilton-Jacobi Equations * Motion in the Normal Direction * Constructing Signed Distance Functions * Extrapolation in the Normal Direction * Particle Level Set Method * Codimension Two Objects * Part III Image Processing and Computer Vision * Image Restoration * Snakes, Active Contours and Segmentation * Reconstruction of Surfaces from Unorganized Data Points * Part IV Computational Physics * Hyperbolic Conservation Laws and Compressible Flow * Two Phase Compressible Flow * Shocks, Detonations and Deflagrations * Solid Fluid Coupling * Incompressible Flow * Free Surfaces * Liquid Gas Interactions * Two Phase Incompressible Flow * Low Speed Flames * Heat Flow
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