Level Set Methods and Dynamic Implicit Surfaces
(Sprache: Englisch)
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...
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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
Klappentext zu „Level Set Methods and Dynamic Implicit Surfaces “
The goal of this book is to promote the use of level set methods by the many scientists and engineers working on moving interface problems. The authors provide some motivational/intuitive background on the scope and variety of moving interface problems and their mathematical formulation. They also review the pros and cons of traditional numerical techniques. The bulk of the book addresses the foundation of essential mathematical and numerical methods necessary for applying the level set method, with particular emphasis on problems in which the interface is just one part of a more complicated physical system. The book concludes with a few select example applications drawn from the authors' research. The book is intended for students and researchers interested in computation in the physical sciences, i.e. engineers, computational fluid dynamicists and applied mathematicians who want to use these methods for their own computations. It is suitable for use in a graduate level course on numerical methods, as a users guide to applying the methods, and as a general reference for mathematics related to level sets and the numerical solution of equations of "Hamiltonian-Jacobi" type.
Inhaltsverzeichnis zu „Level Set Methods and Dynamic Implicit Surfaces “
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
Bibliographische Angaben
- Autoren: Stanley Osher , Ronald Fedkiw
- 2002, 2003, 273 Seiten, mit farbigen Abbildungen, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387954821
- ISBN-13: 9780387954820
- Erscheinungsdatum: 31.10.2002
Sprache:
Englisch
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