Level Set Methods and Fast Marching Methods
Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science
2nd Edition
CAD$82.95 (P)
Part of Cambridge Monographs on Applied and Computational Mathematics
- Author: J. A. Sethian, University of California, Berkeley
- Date Published: June 1999
- availability: Available
- format: Paperback
- isbn: 9780521645577
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82.95
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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.
Read more- An introductory text leading to sophisticated numerical schemes for front propagation
- State-of-the-art algorithms, many of which are unpublished
- Numerous examples
Reviews & endorsements
"The book does give a representative picture of the flavor of the field today." Mathematical Reviews
See more 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: 0.525kg
- 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.
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