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Thomas Mollenhoff

4 accepted papers

2019

Lifting Vectorial Variational Problems: A Natural Formulation Based on Geometric Measure Theory and Discrete Exterior Calculus

CVPR 2019oral

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 variational problems via a lifting to the space of currents. To that end, we recall that functionals with polyconvex Lagrangians c…

Cited by 16PDFScholar
2016

Sublabel-Accurate Relaxation of Nonconvex Energies

CVPR 2016oral

We propose a novel spatially continuous framework for convex relaxations based on functional lifting. Our method can be interpreted as a sublabel-accurate solution to multilabel problems. We show that previously proposed functional lifting methods optimize an energy which is linear between two label…

Cited by 50PDFcodeScholar