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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

$65.00 (P)

Part of Cambridge Monographs on Applied and Computational Mathematics

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

$ 65.00 (P)
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About the Authors
  • 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.

    • 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    • State-of-the-art algorithms, many of which are unpublished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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    Reviews & endorsements

    "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

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    Product details

    • Edition: 2nd Edition
    • Date Published: June 1999
    • format: Paperback
    • isbn: 9780521645577
    • length: 404 pages
    • dimensions: 229 x 156 x 19 mm
    • weight: 0.54kg
    • availability: Available
  • Table of Contents

    Introduction
    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
    References
    Index.

  • Author

    J. A. Sethian, University of California, Berkeley

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