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Motion of Multiple Junctions: A Level Set Approach

โœ Scribed by Barry Merriman; James K. Bence; Stanley J. Osher

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
783 KB
Volume
112
Category
Article
ISSN
0021-9991

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โœฆ Synopsis

A coupled level set method for the motion of multiple junctions is proposed. The new method extends the "Hamilton-Jacobi" level set formulation of Osher and Sethian. It retains the feature of tracking fronts by following level sets and allows the specification of arbitrary velocities on each front. The diffusion equation is shown to generate curvature dependent motion and this is used to develop an algorithm to move multiple junctions with curvature-dependent speed. Systems of reaction diffusion equations are shown to possess inherent properties which prohibit efficient numerical solutions when applied to curvaturedependent motion. 'c' 1994 Ac.ademic. Press, Inc.

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