The Weighted Ambrosio - Tortorelli Approximation Scheme

Published 12 Aug 2016 in math.AP | (1608.03878v1)

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 $\omega^-$.

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