Nonlinear regularizations of TV based PDEs for image processing

  title={Nonlinear regularizations of TV based PDEs for image processing},
  author={Andrea L. Bertozzi and John Greer and Stanley Osher},
We consider both second order and fourth order TV-based PDEs for image processing in one space dimension. A general class of non linear regularization of the TV functional result in well-posed uniformly parabolic equations in two dimensions. However for the fourth order analog ue (Osher et. al. Multiscale Methods and Simulation 1(3) 2003) based on a total variation minimization in anH−1 norm, has very different properties. In particular, nonlinear regularizations should have special structure i… CONTINUE READING

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