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Copyright:
1996-2010
J.A. Sethian

MOVING INTERFACES AND BOUNDARIES

LEVEL SET METHODS and FAST MARCHING METHODS

J.A. SETHIAN

Dept. of Mathematics, Univ. of California, Berkeley, California 94720
E-mail: sethian@math.berkeley.edu

Fast Marching Methods and Level Set Methods are numerical techniques which can follow the evolution of interfaces. These interfaces can develop sharp corners, break apart, and merge together. The techniques have a wide range of applications, including problems in fluid mechanics, combustion, manufacturing of computer chips, computer animation, image processing, structure of snowflakes, and the shape of soap bubbles.

These are two fundamentally different approaches to the problem of tracking moving interfaces, yet they share a common theory and numerical methodology. This web page serves as both an introductory and advanced resource for these ideas, with the goal of providing
  • an intuitive understanding of the techniques
  • the history, evolution, and application of these methods
  • technical details and reference material.
Robotic Navigation (a little taste of what's in these pages)
APPLICATIONS
Geometry
Soap Bubbles
Medical Scans
Robotics
Fluids
Semiconductors
Wave Propagation
Noise Removal
OptimalDesign
Seismic Analysis
Tumor Modeling
Optimal Control
InkJet Plotters
Continuous Traveling Salesmen
ViscoElastic Flow
Chemical Pathways
Droplet Pinchoff



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