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A Semi-Lagrangian scheme for area preserving flows

Abstract : We propose a new Semi-Lagrangian scheme for the area-preserving Mean Curvature flow. The model uses a level set framework to propagate a closed planar curve. The corresponding flow has been proposed by Sapiro & Tannenbaum [9]. The scheme has the advantage to allow large time step still maintaining a good accuracy. We apply the algorithm to recover the original shape of a synthetic image to which artificial noise has been added. The numerical result shows that the area is preserved during the filtering process.
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https://hal.inria.fr/hal-00800487
Contributor : Estelle Bouzat <>
Submitted on : Wednesday, March 13, 2013 - 5:01:38 PM
Last modification on : Thursday, June 18, 2020 - 12:46:02 PM

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  • HAL Id : hal-00800487, version 1

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Elisabetta Carlini, Roberto Ferretti. A Semi-Lagrangian scheme for area preserving flows. 21st International Conference on Pattern Recognition (ICPR2012), 2012, Tsupuka, Japan. pp.2029 - 2033. ⟨hal-00800487⟩

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