Advancing Interfaces: Level Set and Fast Marching Methods

Advancing Interfaces: Level Set and Fast Marching Methods (1999)

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by J. A. Sethian

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@MISC{Sethian99advancinginterfaces:,
    author = {J. A. Sethian},
    title = {Advancing Interfaces: Level Set and Fast Marching Methods},
    year = {1999}
}

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Abstract

Citations

681	Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi Formulations - Osher, Sethian - 1988
320	A fast marching level set method for monotonically advancing fronts - Sethian - 1996
261	Level Set Methods and Fast Marching Methods: Evolving - Sethian - 1999
254	A fast level set method for propagating interfaces - Adalsteinsson, Sethian - 1995
254	Viscosity solutions of HamiltonJacobi equations - Crandall, Lions - 1983
220	Efficient algorithms for globally optimal trajectories - Tsitsiklis - 1995
191	A variatonal level set approach to multiphase motion - Zhao, Chan, et al. - 1996
156	A viscosity solutions approach to shape-from-shading - Rouy, Tourin - 1992
131	Uniformly High Order Accurate Essentially Non-oscillatory Schemes - Harten - 1987
114	The fast construction of extension velocities in level set methods - Adalsteinsson, Sethian
110	A Note on Two - Dijkstra - 1959
103	Fast marching methods - Sethian - 1999
89	Curvature and the evolution of fronts - Sethian - 1985
87	Partial Differential Equations - Garabedian - 1964
84	Computing minimal surfaces via level set curvature flow - Chopp - 1993
77	A level set formulation of Eulerian interface capturing methods for incompressible #uid #ows - Chang, Hou, et al. - 1996
69	A simple level set method for solving Stefan problems - Chen, Merriman, et al. - 1997
47	Two new methods for simulating photolithography development - Helmsen, Puckett, et al. - 1996
40	An analysis of flame propagation - Sethian - 1982
39	Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains - Barth, Sethian - 1998
35	A level set method for computing solutions to incompressible two-phase flow - Sussman, Smereka, et al. - 1994
29	Fast marching level set methods for three-dimensional photolithography development - Sethian - 1996
22	A topology independent shape modeling scheme - Malladi, Sethian, et al. - 1993
21	An O(N log N) algorithm for shape modeling - Malladi, Sethian - 1996
20	Flow under Curvature: Singularity Formation, Minimal Surfaces, and Geodesics, Experimental Mathematics, Volume 2 - Chopp, Sethian - 1993
19	Fast Marching Methods on Triangulated Domains - KIMMEL, SETHIAN - 1998
18	Three-dimensional traveltime computation using the fast marching method - Popovici, Sethian - 1997
11	Crystal Growth and Dendritic - Sethian, Strain - 1992
7	Numerical Methods for Propagating Fronts - Sethian - 1987
6	A Geometric Model for Active - Caselles, Catté, et al. - 1993
1	A Unified Level Set Approach to Etching - Adalsteinsson, Sethian - 1995
1	A Level Set Approach to the Numerical Simulation - Chopp, Sethian - 1999
1	A Fast Level Set based Al - Malladi, Sethian, et al.
1	Extensions of Fast Marching Methods: Higher Order, Static Hamilton-Jacobi Equations and Control, submitted for publication - Sethian, Vladimirsky - 1999