Lifting methods for manifold-valued variational problems
Vogt T, Strekalovskiy E, Cremers D, Lellmann J (2020)
Publication Type: Authored book
Publication year: 2020
Publisher: Springer International Publishing
ISBN: 9783030313517
Abstract
Lifting methods allow to transform hard variational problems such as segmentation and optical flow estimation into convex problems in a suitable higherdimensional space. The lifted models can then be efficiently solved to a global optimum, which allows to find approximate global minimizers of the original problem. Recently, these techniques have also been applied to problems with values in a manifold.We provide a review of such methods in a refined framework based on a finite element discretization of the range, which extends the concept of sublabelaccurate lifting to manifolds.We also generalize existing methods for total variation regularization to support general convex regularization.
Involved external institutions
Germany (DE)How to cite
APA:
Vogt, T., Strekalovskiy, E., Cremers, D., & Lellmann, J. (2020). Lifting methods for manifold-valued variational problems. Springer International Publishing.
MLA:
Vogt, Thomas, et al. Lifting methods for manifold-valued variational problems. Springer International Publishing, 2020.
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