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
Results 1-5 of 78
Page viii
... 109 9.4 A Petrov - Galerkin formulation 112 9.5 Time integration schemes 113 9.6 Algorithms 114 9.7 Schemes for curvature flow 116 9.8 Mesh adaptivity 118 10 Triangulated Fast Marching Methods 120 10.1 The update procedure viii Contents.
... 109 9.4 A Petrov - Galerkin formulation 112 9.5 Time integration schemes 113 9.6 Algorithms 114 9.7 Schemes for curvature flow 116 9.8 Mesh adaptivity 118 10 Triangulated Fast Marching Methods 120 10.1 The update procedure viii Contents.
Page ix
... Flows under more general metrics 175 14.5 Volume - preserving flows 175 14.6 Motion under the second derivative of curvature 177 14.7 Triple points : variational and diffusion methods 183 15 Grid Generation 191 15.1 Statement of problem ...
... Flows under more general metrics 175 14.5 Volume - preserving flows 175 14.6 Motion under the second derivative of curvature 177 14.7 Triple points : variational and diffusion methods 183 15 Grid Generation 191 15.1 Statement of problem ...
Page x
... flows with constraints 269 19.4 Minimal surfaces and surfaces of prescribed curvature 270 19.5 Extensions to surfaces of prescribed curvature 274 19.6 Boolean operations on shapes 277 19.7 Extracting and combining two - dimensional ...
... flows with constraints 269 19.4 Minimal surfaces and surfaces of prescribed curvature 270 19.5 Extensions to surfaces of prescribed curvature 274 19.6 Boolean operations on shapes 277 19.7 Extracting and combining two - dimensional ...
Page xviii
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Page xix
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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