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 viii
... propagating one - dimensional graph The initial value problem : the Level Set Method The boundary value problem : the stationary method Schemes for non - convex speed functions 65 68 69 6.7 Approximations to geometric variables 69 6.8 ...
... propagating one - dimensional graph The initial value problem : the Level Set Method The boundary value problem : the stationary method Schemes for non - convex speed functions 65 68 69 6.7 Approximations to geometric variables 69 6.8 ...
Page xi
... propagating interfaces , under the direction of Alexandre Chorin at the University of California at Berkeley . That work continued through a National Science Foundation ( NSF ) Postdoctoral Fellowship at the Lawrence Berkeley National ...
... propagating interfaces , under the direction of Alexandre Chorin at the University of California at Berkeley . That work continued through a National Science Foundation ( NSF ) Postdoctoral Fellowship at the Lawrence Berkeley National ...
Page xiii
... . This second and expanded edition is largely due to his optimism , encouragement , and patience . Berkeley , California , 1999 Introduction Propagating interfaces occur in a wide variety of settings Preface to the Second Edition xiii.
... . This second and expanded edition is largely due to his optimism , encouragement , and patience . Berkeley , California , 1999 Introduction Propagating interfaces occur in a wide variety of settings Preface to the Second Edition xiii.
Page xvi
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Page xviii
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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