Publication 16-CNA-018

The Weighted Ambrosio - Tortorelli Approximation Scheme

Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
fonseca@andrew.cmu.edu

Pan Liu
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
panl@andrew.cmu.edu

Abstract: The Ambrosio-Tortorelli approximation scheme with weighted underlying metric is investigated. It is shown that it $\Gamma$-converges to a Mumford-Shah image segmentation functional depending on the weight ${\omega} dx $, where $\omega$ ${\in} SBV $ ($\Omega$), and on its value ${\omega}^-$.

Get the paper in its entirety as  16-CNA-018.pdf

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