A Nonlinear Multigrid Method for Total Variation Minimization from Image Restoration

@article{Chen2007ANM,
  title={A Nonlinear Multigrid Method for Total Variation Minimization from Image Restoration},
  author={Ke Chen and Xue-Cheng Tai},
  journal={J. Sci. Comput.},
  year={2007},
  volume={33},
  pages={115-138}
}
Image restoration has been an active research topic and variational formulations are particularly effective in high quality recovery. Although there exist many modelling and theoretical results, available iterative solvers are not yet robust in solving such modeling equations. Recent attempts on developing optimisation multigrid methods have been based on first order conditions. Different from this idea, this paper proposes to use piecewise linear function spanned subspace correction to design… CONTINUE READING

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