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Level Set Methods and Fast Marching Methods

Level Set Methods and Fast Marching Methods
Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science

2nd Edition


Part of Cambridge Monographs on Applied and Computational Mathematics

  • Date Published: August 1999
  • availability: Available
  • format: Paperback
  • isbn: 9780521645577

£ 54.99

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About the Authors
  • This new edition of Professor Sethian's successful text provides 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. For this edition, the collection of applications provided in the text has been expanded, including examples from physics, chemistry, fluid mechanics, combustion, image processing, material science, fabrication of microelectronic components, computer vision, computer-aided design, and optimal control theory. This book will be a useful resource for mathematicians, applied scientists, practising engineers, computer graphic artists, and anyone interested in the evolution of boundaries and interfaces.

    • An introductory text leading to sophisticated numerical schemes for front propagation
    • State-of-the-art algorithms, many of which are unpublished
    • Numerous examples
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    Product details

    • Edition: 2nd Edition
    • Date Published: August 1999
    • format: Paperback
    • isbn: 9780521645577
    • length: 404 pages
    • dimensions: 229 x 156 x 19 mm
    • weight: 0.525kg
    • availability: Available
  • Table of Contents

    1. Formulations of interface propagation
    Part I. Theory and Algorithms:
    2. Theory of curve and surface evolution
    3. Hamilton–Jacobi equations and associated theory
    4. Numerical approximations: first attempt
    5. Numerical schemes for hyperbolic conservation laws
    6. Algorithms for the initial and boundary value formulations
    7. Efficient schemes: adaptivity
    8. Triangulated versions of level set and fast marching method: extensions and variations
    9. Tests of basic methods
    Part II. Applications:
    10. Geometry
    11. Grid generation
    12 Image denoising
    13. Computer vision: shape detection and recognition
    14. Fluid mechanics and materials sciences: adding physics
    15. Computational geometry and computer-aided-design
    16. First arrivals, optimizations, and control
    17. Applications to semi-conductor manufacturing
    18. Comments, conclusions, future directions

  • Author

    J. A. Sethian, University of California, Berkeley

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