Higher-Order TV Methods - Enhancement via Bregman Iteration

@article{Benning2013HigherOrderTM,
  title={Higher-Order TV Methods - Enhancement via Bregman Iteration},
  author={Martin Benning and Christoph Brune and Martin Burger and Jahn M{\"u}ller},
  journal={J. Sci. Comput.},
  year={2013},
  volume={54},
  pages={269-310}
}
In this work we analyze and compare two recent variational models for image denoising and improve their reconstructions by applying a Bregman iteration strategy. One of the standard techniques in image denoising, the ROF-model (cf. Rudin et al. in Physica D 60:259–268, 1992), is well known for recovering sharp edges of a signal or image, but also for producing staircase-like artifacts. In order to overcome these model-dependent deficiencies, total variation modifications that incorporate higher… CONTINUE READING