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arXiv · 2006.14550

Lifted Disjoint Paths with Application in Multiple Object Tracking

Andrea Hornakova·Roberto Henschel·Bodo Rosenhahn·Paul Swoboda
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Abstract

We present an extension to the disjoint paths problem in which additional \emph{lifted} edges are introduced to provide path connectivity priors. We call the resulting optimization problem the lifted disjoint paths problem. We show that this problem is NP-hard by reduction from integer multicommodity flow and 3-SAT. To enable practical global optimization, we propose several classes of linear inequalities that produce a high-quality LP-relaxation. Additionally, we propose efficient cutting plane algorithms for separating the proposed linear inequalities. The lifted disjoint path problem is a natural model for multiple object tracking and allows an elegant mathematical formulation for long range temporal interactions. Lifted edges help to prevent id switches and to re-identify persons. Our lifted disjoint paths tracker achieves nearly optimal assignments with respect to input detections. As a consequence, it leads on all three main benchmarks of the MOT challenge, improving significantly over state-of-the-art.

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Andrea Hornakova, Roberto Henschel, Bodo Rosenhahn, Paul Swoboda. 2020-06-25. Lifted Disjoint Paths with Application in Multiple Object Tracking. https://arxiv.org/abs/2006.14550

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