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    Article

    General transport problems with branched minimizers as functionals of 1-currents with prescribed boundary

    A prominent model for transportation networks is branched transport, which seeks the optimal transportation scheme to move material from a given initial to a given final distribution. The cost of the scheme en...

    Alessio Brancolini, Benedikt Wirth in Calculus of Variations and Partial Differe… (2018)

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    Article

    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)

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    Article

    Variational techniques for assessing the technological signature of flat surfaces

    The quality assessment of manufacturing operations performed to obtain given flat surfaces is always a problem of comparing the substitute model (approximating the features of the true manufactured part) to th...

    Michele Dassisti, Francesco Maddalena, Alessio Brancolini… in Optimization and Engineering (2013)