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A Single-Pass Scheme for the Mean Curvature Motion of Convex Curves

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • E. Carlini

    (Università Sapienza di Roma, Dipartimento di Matematica)

Abstract

A new algorithm to solve the stationary level set equation describing the Mean Curvature Motion of convex curve is presented. This algorithm is a single pass scheme obtained by coupling the min-max type discrete operator for the MCM equation with the fast marching level set for the Eikonal equation. An adaption of the step, approximating the characteristics, is required to obtain an accurate method. Here an adaptive strategy is proposed.

Suggested Citation

  • E. Carlini, 2008. "A Single-Pass Scheme for the Mean Curvature Motion of Convex Curves," Springer Books, in: Karl Kunisch & Günther Of & Olaf Steinbach (ed.), Numerical Mathematics and Advanced Applications, pages 671-678, Springer.
  • Handle: RePEc:spr:sprchp:978-3-540-69777-0_80
    DOI: 10.1007/978-3-540-69777-0_80
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