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Approximation of the relaxed perimeter functional under a connectedness constraint by phase-fields. (arXiv:1810.05787v1 [math.AP])

来源于:arXiv
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 and the connectedness constraint of (Dondl, Lemenant, Wojtowytsch 2017). We prove convergence of the approximating energies and present numerical results and applications to image segmentation. 查看全文>>