Tikhonov Regularization of Circle-Valued Signals
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Abstract (arXiv)
It is common to have to process signals or images whose values are cyclic and can be represented as points on the complex circle, like wrapped phases, angles, orientations, or color hues. We consider a Tikhonov-type regularization model to smoothen or interpolate circle-valued signals defined on arbitrary graphs. We propose a convex relaxation of this nonconvex problem as a semidefinite program, and an efficient algorithm to solve it.
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References · 7
- 2014A Comparative Study of Modern Inference Techniques for Structured Discrete Energy Minimization Problemscited by 16
- 2019Proximal Splitting Algorithms for Convex Optimization: A Tour of Recent Advances, with New Twistscited by 16
- 2015Good Colour Maps: How to Design Themcited by 6
- 2013Total variation regularization for manifold-valued datacited by 4
- 2014Mumford-Shah and Potts Regularization for Manifold-Valued Data with Applications to DTI and Q-Ball Imagingcited by 2
- 2018Variational Regularization of Inverse Problems for Manifold-Valued Datacited by 2
- 2015Exact algorithms for L1-TV regularization of real-valued or circle-valued signalscited by 1
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