A comparison of three total variation based texture extraction models

@article{Yin2007ACO,
  title={A comparison of three total variation based texture extraction models},
  author={Wotao Yin and Donald Goldfarb and Stanley Osher},
  journal={J. Visual Communication and Image Representation},
  year={2007},
  volume={18},
  pages={240-252}
}
This paper qualitatively compares three recently proposed models for signal/image texture extraction based on total variation minimization: the Meyer [27], Vese-Osher (VO) [35], and TV-L1 [12,38,2–4,29–31] models. We formulate discrete versions of these models as second-order cone programs (SOCPs) which can be solved efficiently by interior-point methods. Our experiments with these models on 1D oscillating signals and 2D images reveal their differences: the Meyer model tends to extract… CONTINUE READING
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