Published Paper
Inserted: 14 oct 2018
Last Updated: 1 jan 2022
Journal: SIAM J. Math. Anal.
Volume: 51
Number: 5
Pages: 3902–3920
Year: 2019
Abstract:
We develop a phase-field approximation of the relaxation of the perimeter functional in the plane under a connectedness constraint based on the classical Modica-Mortola functional. We prove convergence of the approximating energies and present numerical results and applications to image segmentation.
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