Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials ScienceThis book is an introduction to level set methods, which are powerful numerical techniques for analyzing and computing interface motion in a host of settings. The numerical techniques can be used to track three-dimensional complex fronts that can develop sharp corners and change topology as they evolve. A large collection of applications are provided in the text, including examples from physics, chemistry, fluid mechanics, combustion, image processing, material science, fabrication of microelectronic components, computer vision and control theory.This book will be a useful resource for mathematicians, applied scientists, practicing engineers, computer graphic artists, and anyone interested in the evolution of boundaries and interfaces. |
From inside the book
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Page iv
Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science J. A. Sethian. The Cambridge Monographs on Applied and Computational Mathemat- ics reflects the crucial role of mathematical and ...
Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science J. A. Sethian. The Cambridge Monographs on Applied and Computational Mathemat- ics reflects the crucial role of mathematical and ...
Page vi
Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science J. A. Sethian. PUBLISHED BY THE PRESS SYNDICATE OF THE UNIVERSITY OF CAMBRIDGE The Pitt Building , Trumpington Street , Cambridge ...
Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science J. A. Sethian. PUBLISHED BY THE PRESS SYNDICATE OF THE UNIVERSITY OF CAMBRIDGE The Pitt Building , Trumpington Street , Cambridge ...
Page ix
Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science J. A. Sethian. 10 Triangulated Fast Marching Methods 120 10.1 The update procedure 120 10.2 A scheme for a particular triangulated ...
Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science J. A. Sethian. 10 Triangulated Fast Marching Methods 120 10.1 The update procedure 120 10.2 A scheme for a particular triangulated ...
Page x
... Fluids , and Electromigration 227 229 231 240 18.1 Combustion 241 18.2 Crystal growth and dendritic solidification 249 18.3 Fluid mechanics 255 18.4 Additional applications 258 18.5 Void evolution and electromigration 261 19 ...
... Fluids , and Electromigration 227 229 231 240 18.1 Combustion 241 18.2 Crystal growth and dendritic solidification 249 18.3 Fluid mechanics 255 18.4 Additional applications 258 18.5 Void evolution and electromigration 261 19 ...
Page xiii
Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science J. A. Sethian. during the fall of 1995 for their insightful comments , critical reviewing , and careful suggestions . I am also ...
Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science J. A. Sethian. during the fall of 1995 for their insightful comments , critical reviewing , and careful suggestions . I am also ...
Contents
III | xv |
IV | xx |
V | 10 |
VI | 26 |
VIII | 41 |
IX | 43 |
X | 67 |
XII | 86 |
XXII | 133 |
XXV | 157 |
XXVI | 178 |
XXVII | 204 |
XXX | 231 |
XXXII | 248 |
XXXIV | 277 |
XXXVI | 321 |
Other editions - View all
Level Set Methods and Fast Marching Methods: Evolving Interfaces in ... James Albert Sethian No preview available - 1999 |
Common terms and phrases
adaptive mesh refinement algorithm applications approach approximation Band Level Set boundary conditions boundary value calculation cells Chapter compute conservation laws consider construct convex curvature flow curve deposition discussed domain Eikonal equation entropy entropy condition equations of motion etching evaluate evolution evolving example extension velocity Fast Marching Method Fext flame fluid formulation front propagation function F geometric given goal gradient grid points H(Vu Hamilton-Jacobi equation Hamiltonian heat equation hyperbolic conservation laws interface level set equation level set function Level Set Methods mean curvature mesh Min/Max flow moving Narrow Band Level noise non-convex normal direction numerical order scheme partial differential equation particles positive re-deposition re-initialization region second order Sethian shape shortest path shows signed distance function simulations smooth solving speed F speed function step sticking coefficient straightforward techniques term three-dimensional tion triangulated two-dimensional UNDEF update upwind velocity field viscosity solution weak solution zero level set