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arXiv · 1608.03878

The Weighted Ambrosio - Tortorelli Approximation Scheme

Irene Fonseca·Pan Liu
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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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Irene Fonseca, Pan Liu. 2016-08-12. The Weighted Ambrosio - Tortorelli Approximation Scheme. https://arxiv.org/abs/1608.03878

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