Abstract
It this note, we give a formulation of a stochastic snake model based the theory of interacting particle systems and hydrodynamic limits. Curvature flows have been extensively considered from a deterministic point of view. They have been shown to be useful for a number of applications including crystal growth, flame propagation, and computer vision. In some previous work [71], we have described a random particle system, evolving on the discretized unit circle, whose profile converges toward the Gauss-Minkowsky transformation of solutions of curve shortening flows initiated by convex curves The present note shows that this theory may be implemented as a new way of evolving curves as a possible alternative to level set methods.
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© 2006 Springer Science+Business Media, Inc.
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Yezzi, A., Nain, D., Unal, G., Zeitouni, O., Tannenbaum, A. (2006). On a Stochastic Model of Geometric Snakes. In: Paragios, N., Chen, Y., Faugeras, O. (eds) Handbook of Mathematical Models in Computer Vision. Springer, Boston, MA. https://doi.org/10.1007/0-387-28831-7_10
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DOI: https://doi.org/10.1007/0-387-28831-7_10
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-26371-7
Online ISBN: 978-0-387-28831-4
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