Generalized Higher Degree Total Variation (HDTV) Regularization

@article{Hu2014GeneralizedHD,
  title={Generalized Higher Degree Total Variation (HDTV) Regularization},
  author={Yue Hu and Greg Ongie and Sathish Ramani and Mathews Jacob},
  journal={IEEE Transactions on Image Processing},
  year={2014},
  volume={23},
  pages={2423-2435}
}
We introduce a family of novel image regularization penalties called generalized higher degree total variation (HDTV). These penalties further extend our previously introduced HDTV penalties, which generalize the popular total variation (TV) penalty to incorporate higher degree image derivatives. We show that many of the proposed second degree extensions of TV are special cases or are closely approximated by a generalized HDTV penalty. Additionally, we propose a novel fast alternating… CONTINUE READING
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