Total Bounded Variation Regularization as a Bilaterally Constrained Optimization Problem

@article{Kunisch2004TotalBV,
  title={Total Bounded Variation Regularization as a Bilaterally Constrained Optimization Problem},
  author={Karl Kunisch and Michael Hinterm{\"u}ller},
  journal={SIAM Journal of Applied Mathematics},
  year={2004},
  volume={64},
  pages={1311-1333}
}
It is demonstrated that the pre-dual for problems with total bounded variation regularization terms can be expressed as bilaterally constrained optimization problem. Existence of a Lagrange multiplier and an optimality system are established. This allows to utilize efficient optimization methods developed for problems with box constraints in the context of bounded variation formulations. Here, in particular, the primal-dual active set method, considered as a semi-smooth Newton method is… CONTINUE READING

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