Contour parametrization via anisotropic mean curvature flow

Pablo Suárez-Serrato and E.I. Velázquez Richards

Applied Mathematics and Computation, 2023, vol. 441, issue C

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.

Keywords: Contour paremetrization; Mean curvature flow; Discrete geometric flows; Applied differential geometry (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:441:y:2023:i:c:s0096300322007676

DOI: 10.1016/j.amc.2022.127699

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