Over the last decades, the total variation (TV) has evolved to be one of the most broadly-
used regularisation functionals for inverse problems, in particular for imaging applications …

The minimization of a nonconvex composite function can model a variety of imaging tasks. A
popular class of algorithms for solving such problems are majorization-minimization …

Convex relaxations of multilabel problems have been demonstrated to produce provably
optimal or near-optimal solutions to a variety of computer vision problems. Yet, they are of …

In this work we show how sublabel-accurate multilabeling approaches can be derived by
approximating a classical label-continuous convex relaxation of nonconvex free …

Lifting methods allow to transform hard variational problems such as segmentation and
optical flow estimation into convex problems in a suitable higher-dimensional space. The …

Numerous tasks in imaging and vision can be formulated as variational problems over
vector-valued maps. We approach the relaxation and convexification of such vectorial …