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Fast marching method

Known as: Fast marching 
The fast marching method is a numerical method created by James Sethian for solving boundary value problems of the Eikonal equation: Typically, such… Expand
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Dijkstra's algorithmFast sweeping methodImage segmentationList of numerical analysis topics
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Papers overview

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Highly Cited
2006
Highly Cited
2006
Path Planning for Mobile Robot Navigation using Voronoi Diagram and Fast Marching
This paper presents a new sensor based global path planner which operates in two steps. In the first step the safest areas in the… Expand
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Highly Cited
2004
Highly Cited
2004
Fast Marching Methods
The fast marching method was introduced by Sethian [190, 191, 192] as a computationally efficient solution to eikonal equations… Expand
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Highly Cited
2004
Highly Cited
2004
An Image Inpainting Technique Based on the Fast Marching Method
  • A. Telea
  • J. Graphics, GPU, & Game Tools
  • 2004
    • Corpus ID: 5908881
Abstract Digital inpainting provides a means for reconstruction of small damaged portions of an image. Although the inpainting… Expand
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Highly Cited
2004
Highly Cited
2004
Wave front evolution in strongly heterogeneous layered media using the fast marching method
SUMMARY The fast marching method (FMM) is a grid based numerical scheme for tracking the evolution of monotonically advancing… Expand
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Highly Cited
2004
Highly Cited
2004
Multiple reflection and transmission phases in complex layered media using a multistage fast marching method
Traditional grid-based eikonal schemes for computing traveltimes are usually confined to obtaining first arrivals only. However… Expand
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Highly Cited
2003
Highly Cited
2003
Extended finite element method and fast marching method for three-dimensional fatigue crack propagation
A numerical technique for planar three-dimensional fatigue crack growth simulations is proposed. The new technique couples the… Expand
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Highly Cited
2003
Highly Cited
2003
Fast Marching farthest point sampling
We introduce the Fast Marching farthest point sampling (FastFPS) approach for the progressive sampling of planar domains and… Expand
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Highly Cited
2002
Highly Cited
2002
An Augmented Fast Marching Method for Computing Skeletons and Centerlines
We present a simple and robust method for computing skeletons for arbitrary planar objects and centerlines for 3D objects. We… Expand
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Highly Cited
2001
Highly Cited
2001
Some Improvements of the Fast Marching Method
  • D. Chopp
  • SIAM J. Sci. Comput.
  • 2001
    • Corpus ID: 2401899
The fast marching method published by Sethian [Proc. Natl. Acad. Sci. USA, 93 (1996), pp. 1591--1595] is an optimally efficient… Expand
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Highly Cited
1999
Highly Cited
1999
The Fast Construction of Extension Velocities in Level Set Methods
Level set techniques are numerical techniques for tracking the evolution of interfaces. They rely on two central embeddings… Expand
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