Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

P. W. Dondl - M. Novaga - B. Wirth - S. Wojtowytsch

Approximation of the relaxed perimeter functional under a connectedness constraint by phase-fields

created by novaga on 14 Oct 2018
modified on 22 Oct 2018

[BibTeX]

Submitted Paper

Inserted: 14 oct 2018
Last Updated: 22 oct 2018

Year: 2018

ArXiv: 1810.05787 PDF

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.


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1