Synchronizing Probability Measures on Rotations via Optimal Transport

@article{Birdal2020SynchronizingPM,
  title={Synchronizing Probability Measures on Rotations via Optimal Transport},
  author={Tolga Birdal and Michael Arbel and Umut Simsekli and L. Guibas},
  journal={2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)},
  year={2020},
  pages={1566-1576}
}
  • Tolga Birdal, Michael Arbel, +1 author L. Guibas
  • Published 2020
  • Computer Science, Mathematics
  • 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)
  • We introduce a new paradigm, `measure synchronization', for synchronizing graphs with measure-valued edges. We formulate this problem as maximization of the cycle-consistency in the space of probability measures over relative rotations. In particular, we aim at estimating marginal distributions of absolute orientations by synchronizing the `conditional' ones, which are defined on the Riemannian manifold of quaternions. Such graph optimization on distributions-on-manifolds enables a natural… CONTINUE READING
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