Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 techniques developed in
that field, we show for a two-dimensional situation that both highly non-convex
network optimization tasks can be transformed into a convex variational
problem, which may be very useful from analytical and numerical perspectives.
  As applications of the convex formulation, we use it to perform numerical
simulations (to our knowledge this is the first numerical treatment of urban
planning), and we prove the lower bound of an energy scaling law which helps
better understand optimal networks and their minimal energies.

20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga