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Contour parametrization via anisotropic mean curvature flow

Author

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  • Suárez-Serrato, Pablo
  • Velázquez Richards, E.I.

Abstract

We present a new implementation of anisotropic mean curvature flow for automatic contour parametrization. Our procedure couples the mean curvature flow of planar closed smooth curves with an external field from a potential of point-wise charges. This coupling constrains the motion when the curve matches a picture placed as background. A parallelized algorithm that realizes our scheme is explained, and we have made its open-source code available. We also include a stability criterion for our numerical approximation.

Suggested Citation

  • Suárez-Serrato, Pablo & Velázquez Richards, E.I., 2023. "Contour parametrization via anisotropic mean curvature flow," Applied Mathematics and Computation, Elsevier, vol. 441(C).
    • Handle: RePEc:eee:apmaco:v:441:y:2023:i:c:s0096300322007676
    DOI: 10.1016/j.amc.2022.127699
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