Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science
Cambridge University Press, 1999. 6. 13. - 378페이지
This 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.
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adaptive algorithm applications approach approximation begin boundary build calculation cells Chapter compute conservation consider constant construct corresponding curvature curve defined depends deposition derivative described developed difference differential equation diffusion dimensions direction discussed domain effects equation error etching evaluate evolution evolving example extension velocity Fast Marching Method field Figure final flame flow fluid flux follows formulation front given goal gradient grid points idea initial integral interface known level set function Level Set Methods lines material means mesh motion moving narrow band neighboring noise normal numerical operations particles path performed positive problem produce propagating refer region scheme second order shape shock shown shows side simply simulations smooth solution solving space speed function step straightforward surface surface tension techniques term tion triangulated update wave yield zero level set