Tracking interfaces with level sets

American Scientist

Volumn 85, Issue 3, 1997, Pages 254-263

  Sethian, James A ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; INTERFACES;

EID: 0030789778     PISSN: 00030996     EISSN: None     Source Type: Trade Journal    
DOI: None     Document Type: Article

References (12)

1. Adalsteinsson, D., and J. A. Sethian. 1995. A unified level set approach to etching, deposition and lithography I and II. Journal of Computational Physics 120(1):128-144 and 122(2):348-366.
2. Adalsteinsson, D., and J. A. Sethian. 1995. A unified level set approach to etching, deposition and lithography I and II. Journal of Computational Physics 120(1):128-144 and 122(2):348-366.
3. Chopp, D. L., and J. A. Sethian. 1993. Flow under curvature: singularity formation, minimal surfaces, and geodesies. Journal of Experimental Mathematics 2(4):235-255.
4. Grayson, M. 1987. The heat equation shrinks embedded plane curves to round points. Journal of Differential Geometry 26:285-314.
5. Kimmel, R., and J. A. Sethian. 1996. Fast Marching Methods for robotic navigation with constraints. Center for Pure and Applied Mathematics Report. University of California, Berkeley.
6. Malladi, R., and J. A. Sethian. 1996. A unified approach to noise removal, image enhancement, and shape recovery. IEEE Transactions on Image Processing 5(11):1554-1568.
7. Malladi, R., J. A. Sethian and B. C. Vemuri. 1995. Shape modeling with front propagation: a level set approach. IEEE Transactions on Pattern Analysis and Machine Intelligence 17(2):158-175.
8. Osher, S., and J. A. Sethian. 1988. Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics 79:12-49.
9. Sethian, J. A. 1985. Curvature and the evolution of fronts. Communications in Mathematical Physics 101:487-499.
10. Sethian, J. A. 1996a. Fast marching level set method for monotonically advancing fronts. Proceedings of the National Academy of Sciences 93(4):1591-1595.
11. Sethian, J. A. 1996b. Level Set Methods: Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision, and Materials Science. Cambridge: Cambridge University Press.
12. Wevl, H. 1963. The Philosophy of Mathematics and Natural Science. New York: Atheneum.