PT - JOURNAL ARTICLE
AU - Sethian, J A
TI - A fast marching level set method for monotonically advancing fronts
AID - 10.1073/pnas.93.4.1591
DP - 1996 Feb 20
TA - Proceedings of the National Academy of Sciences
PG - 1591--1595
VI - 93
IP - 4
4099 - http://www.pnas.org/content/93/4/1591.short
4100 - http://www.pnas.org/content/93/4/1591.full
SO - Proc Natl Acad Sci USA1996 Feb 20; 93
AB - A fast marching level set method is presented for monotonically advancing fronts, which leads to an extremely fast scheme for solving the Eikonal equation. Level set methods are numerical techniques for computing the position of propagating fronts. They rely on an initial value partial differential equation for a propagating level set function and use techniques borrowed from hyperbolic conservation laws. Topological changes, corner and cusp development, and accurate determination of geometric properties such as curvature and normal direction are naturally obtained in this setting. This paper describes a particular case of such methods for interfaces whose speed depends only on local position. The technique works by coupling work on entropy conditions for interface motion, the theory of viscosity solutions for Hamilton-Jacobi equations, and fast adaptive narrow band level set methods. The technique is applicable to a variety of problems, including shape-from-shading problems, lithographic development calculations in microchip manufacturing, and arrival time problems in control theory.