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math.OC2022
-Convergence of an Ambrosio-Tortorelli approximation scheme for image segmentation
Irene Fonseca, Lisa Maria Kreusser, Carola-Bibiane Schönlieb +1
Given an image , the aim of minimising the Mumford-Shah functional is to find a decomposition of the image domain into sub-domains and a piecewise smooth approximation of…
math.OC2021★ 2 cited
The Linearized Hellinger--Kantorovich Distance
Tianji Cai, Junyi Cheng, Bernhard Schmitzer +1
In this paper we study the local linearization of the Hellinger--Kantorovich distance via its Riemannian structure. We give explicit expressions for the logarithmic and exponential…