Level set methods and dynamic implicit surfaces
Author(s)
Bibliographic Information
Level set methods and dynamic implicit surfaces
(Applied mathematical sciences, v. 153)
Springer, c2003
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Note
Includes bibliographical references (p. [259]-269) and index
Description and Table of Contents
Description
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
Table of Contents
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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