## Iterative Potts and Blake-Zisserman minimization for the recovery of functions with discontinuities from indirect measurements.

- Andreas Weinmann, Martin Storath
- Proceedings. Mathematical, physical, and…
- 2015

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@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} }

- Published 2010 in Foundations of Computational Mathematics
DOI:10.1007/s10208-010-9071-3

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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