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REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS
Book reviews do not contain an abstract.
You may download the entire set of reviews from this issue
using the links below.
Journal:
Math. Comp.
70,
449-451
DOI:
PII:
S 0025-5718(00)01345-4
Posted:
October 24, 2000
Copyright of article:
Copyright
2000,
American Mathematical Society
Retrieve reviews in:
PDF
Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science,
by J. A. Sethian
Additional book information:
Cambridge University Press,
New York,
1999,
xx+378 pp.,
(hardcover)
$74.95
;
(softcover)
$29.95
2000
Mathematics Subject Classification.
Primary 35L60, 65M06, 73V15, 76M20, 78A05, 80A22
Reviewed by:
Stanley
Osher
Affiliation:
Mathematics Department, University of California Los Angeles, Los Angeles, CA 90095-1555
E-mail address:
sjo@math.ucla.edu
References:
- [CCCD]
- V. Caselles, F. Catte, T. Coll and F. Dibos, A geometric model for active contours in image processing, Numer. Math., 66 (1993), pp. 1-31. MR 94k:65195
- [CGG]
- Y.G. Chen, Y. Giga and S. Goto, Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations, J. Differential Geom., 33 (1991), pp. 749-786. MR 93a:35093
- [ESS]
- L.C. Evans, H.M. Soner and P.E. Souganidis, Phase transitions and generalized motion by mean curvature, Comm. Pure Appl. Math., 45 (1992), pp. 1097-1123. MR 93g:35064
- [ES]
- L.C. Evans and J. Spruck, Motion of level sets by mean curvature, J. Differential Geom., 33 (1991), pp. 635-681. MR 92h:35097
- [HPCD]
- J. Helmsen, E.G. Puckett, P. Colella and M. Dorr, Two new methods for simulating photolithography development, SPIE, 2726 (1996), pp. 253-261.
- [OSe]
- S. Osher and J.A. Sethian, Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys., 79 (1988), pp. 12-49. MR 89h:80012
- [OSh]
- S. Osher and C.-W. Shu, High order essentially nonoscillatory schemes for Hamilton-Jacobi equations, SIAM J. Numer. Anal., 28 (1991), pp. 907-921. MR 92e:65118
- [Se]
- J.A. Sethian, Fast marching level set methods for three-dimensional photolithography development, SPIE, 2726 (1996), pp. 261-272.
- [T1]
- J.N. Tsitsiklis, Efficient algorithms for globally optimal trajectories, IEEE Transactions on Automatic Control, 40 (1995), pp. 1528-1538. MR 96d:49039
- [T2]
- J.N. Tsitsiklis, Efficient algorithms for globally optimal trajectories, Proceedings of IEEE 33rd Conference on Decision and Control, Lake Buena Vista, Florida, December (1994), pp. 1368-1373.
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