17 citations · 35 across the 3 of their papers we have counts for
4 papers
General transport problems with branched minimizers as functionals of 1-currents with prescribed boundary
Alessio Brancolini, Benedikt Wirth
A prominent model for transportation networks is branched transport, which seeks the optimal transportation scheme to move material from a given initial to a final distribution. Th…
Optimal micropatterns in 2D transport networks and their relation to image inpainting
Alessio Brancolini, Carolin Rossmanith, Benedikt Wirth
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-Sh…
Optimal micropatterns in transport networks
Alessio Brancolini, Benedikt Wirth
We consider two variational models for transport networks, an urban planning and a branched transport model, in which the degree of network complexity and ramification is governed…
Equivalent formulations for the branched transport and urban planning problems
Alessio Brancolini, Benedikt Wirth
We consider two variational models for transport networks, an urban planning and a branched transport model, in both of which there is a preference for networks that collect and tr…