Iterative Thresholding Meets Free-Discontinuity Problems

@article{Fornasier2010IterativeTM,
  title={Iterative Thresholding Meets Free-Discontinuity Problems},
  author={Massimo Fornasier and Rachel Ward},
  journal={Foundations of Computational Mathematics},
  year={2010},
  volume={10},
  pages={527-567}
}
Free-discontinuity problems describe situations where the solution of interest is defined by a function and a lower dimensional set consisting of the discontinuities of the function. Hence, the derivative of the solution is assumed to be a ‘small’ function almost everywhere except on sets where it concentrates as a singular measure. This is the case, for instance, in crack detection from fracture mechanics or in certain digital image segmentation problems. If we discretize such situations for… CONTINUE READING
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