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| Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science | | Author: | James Albert Sethian | ISBN: | 0521645573 | Format: | Handover | Publish Date: | June, 2005 | | | | | | | | | Book Review | | |
Review "The book does give a representative picture of the flavor of the field today." Mathematical Reviews "It is a useful introduction to a remarkably dynamic area." Mathematics of Computation
Book Description In this new edition of the successful book Level Set Methods, Professor Sethian incorporates the most recent advances in Fast Marching Methods, many of which appear here for the first time. Continuing the expository style of the first edition, this introductory volume presents cutting edge algorithms in these groundbreaking techniques and provides the reader with a wealth of application areas for further study. Fresh applications to computer-aided design and optimal control are explored and studies of computer vision, fluid mechanics, geometry, and semiconductor manufacture have been revised and updated. The text includes over thirty new chapters. It will be an invaluable reference for researchers and students.
Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science FROM THE PUBLISHER This book is an introduction to level set methods and fast marching methods, which are powerful numerical techniques for analyzing and computing interface motion in a host of settings. They rely on a fundamental shift in how one views moving boundaries, rethinking the natural geometric Lagrangian perspective and exchanging it for an Eulerian, initial value partial differential equation perspective. The resulting numerical techniques can be used to track three dimensional complex fronts that can develop sharp corners and change topology as they evolve. This new edition of Professor Sethian's successful text includes the latest advances in fast marching methods and extends the original volume to cover new areas of application. 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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