Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Total Roto-Translational Variation   We consider curvature depending variational models for image regularization,
such as Euler's elastica. These models are known to provide strong priors for
the continuity of edges and hence have important applications in shape-and
image processing. We consider a lifted convex representation of these models in
the roto-translation space: In this space, curvature depending variational
energies are represented by means of a convex functional defined on divergence
free vector fields. The line energies are then easily extended to any scalar
function. It yields a natural generalization of the total variation to the
roto-translation space. As our main result, we show that the proposed convex
representation is tight for characteristic functions of smooth shapes. We also
discuss cases where this representation fails. For numerical solution, we
propose a staggered grid discretization based on an averaged Raviart-Thomas
finite elements approximation. This discretization is consistent, up to minor
details, with the underlying continuous model. The resulting non-smooth convex
optimization problem is solved using a first-order primal-dual algorithm. We
illustrate the results of our numerical algorithm on various problems from
shape-and image processing.

31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an