A Convex Functional for Image Denoising based on Patches with Constrained Overlaps and its vectorial application to Low Dose Differential Phase Tomography

@article{Mirone2013ACF,
  title={A Convex Functional for Image Denoising based on Patches with Constrained Overlaps and its vectorial application to Low Dose Differential Phase Tomography},
  author={Alessandro Mirone and Emmanuel Brun and Paola Coan},
  journal={ArXiv},
  year={2013},
  volume={abs/1305.1256}
}
  • Alessandro Mirone, Emmanuel Brun, Paola Coan
  • Published 2013
  • Mathematics, Computer Science
  • ArXiv
  • We solve the image denoising problem with a dictionary learning technique by writing a convex functional of a new form. This functional contains beside the usual sparsity inducing term and fidelity term, a new term which induces similarity between overlapping patches in the overlap regions. The functional depends on two free regularization parameters: a coefficient multiplying the sparsity-inducing L1 norm of the patch basis functions coefficients, and a coefficient multiplying the L2 norm of… CONTINUE READING

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