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    Optimal Micropatterns in 2D Transport Networks and Their Relation to Image Inpainting

    We consider two different variational models of transport networks: the so-called branched transport problem and the urban planning problem. Based on a novel relation to Mumford–Shah image inpainting and techn...

    Alessio Brancolini, Carolin Rossmanith… in Archive for Rational Mechanics and Analysis (2018)