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Curvature-based interface restoration algorithm using phase-field equations

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Title
Curvature-based interface restoration algorithm using phase-field equations
Author(s)
Seunggyu Lee; Choi, Yongho
Publication Date
2023-12
Journal
PLoS ONE, v.18, no.12
Publisher
Public Library of Science
Abstract
In this study, we propose a restoration algorithm for distorted objects using a curvaturedriven flow. First, we capture the convex-hull shaped contour of the distorted object using the mean curvature flow. With the supplemented mass on the captured feature, we evolve the constraint mean curvature flow to a steady state, preserving the non-distorted region. With respect to the mass, we select a restorative shape by considering the square of the curvature derivative. The Allen-Cahn and Cahn-Hilliard equations are applied to the generated restored image from the implicit curvature motions represented by the order parameter. We impose the Dirichlet boundary condition for the order parameter and the Neumann boundary for the chemical potential to fix the feature and to inherit the mass conservation, respectively. We provided examples of the restoration of half-circle and parentheses-shaped objects to reconstruct a circle shape. © 2023 Lee, Choi. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
URI
https://pr.ibs.re.kr/handle/8788114/14624
DOI
10.1371/journal.pone.0295527
ISSN
1932-6203
Appears in Collections:
Pioneer Research Center for Mathematical and Computational Sciences(수리 및 계산과학 연구단) > 1. Journal Papers (저널논문)
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