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Curve Shortening and Interacting Particle Systems

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Statistics and Analysis of Shapes

Abstract

Curvature driven flows have been extensively considered from a deterministic point of view. Besides their mathematical interest, they have been shown to be useful for a number of applications including crystal growth, flame propagation, and computer vision. In this paper, we describe a new stochastic approximation of curve shortening flows valid for arbitrary embedded planar curves.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin, Madison, WI, 53706

    Sigurd Angenent

  2. School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, 30332

    Allen Tannenbaum & Anthony Yezzi Jr.

  3. Department of Mathematics, University of Minnesota, Minneapolis, MN, 55455

    Ofer Zeitouni

Authors
  1. Sigurd Angenent
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  2. Allen Tannenbaum
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  3. Anthony Yezzi Jr.
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  4. Ofer Zeitouni
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Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, North Carolina State University, Raleigh, NC, 27606-7914, USA

    Hamid Krim

  2. School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, 30332-0250, USA

    Anthony Yezzi Jr.

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© 2006 Birkhäuser Boston

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Angenent, S., Tannenbaum, A., Yezzi, A., Zeitouni, O. (2006). Curve Shortening and Interacting Particle Systems. In: Krim, H., Yezzi, A. (eds) Statistics and Analysis of Shapes. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4481-4_12

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