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References

TV and Primal-Dual Solvers

  1. L. I. Rudin, S. Osher, E. Fatemi, "Nonlinear total variation based noise removal algorithms," Physica D 60(1-4):259-268, 1992. DOI:10.1016/0167-2789(92)90242-F
  2. A. Chambolle, "An algorithm for total variation minimization and applications," Journal of Mathematical Imaging and Vision 20:89-97, 2004. DOI:10.1023/B:JMIV.0000011325.36760.1E
  3. A. Chambolle and T. Pock, "A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging," Journal of Mathematical Imaging and Vision 40:120-145, 2011. DOI:10.1007/s10851-010-0251-1

Group-Sparse Total Variation

  1. I. W. Selesnick and P.-Y. Chen, "Total Variation Denoising with Overlapping Group Sparsity," ICASSP, 2013. Author page and paper
  2. J. Liu, T.-Z. Huang, I. W. Selesnick, X.-G. Lv, and P.-Y. Chen, "Image Restoration using Total Variation with Overlapping Group Sparsity," Information Sciences 295:232-246, 2015. arXiv:1310.3447, DOI:10.1016/j.ins.2014.10.041

Lambda Selection

  1. V. A. Morozov, Methods for Solving Incorrectly Posed Problems, 1984. DOI:10.1007/978-1-4612-5280-1
  2. Y. Wen and R. H. Chan, "Parameter selection for total-variation based image restoration using discrepancy principle," IEEE TIP 21(4):1770-1781, 2012. DOI:10.1109/TIP.2011.2181401
  3. S. Ramani, T. Blu, M. Unser, "Monte-Carlo SURE: A black-box optimization of regularization parameters for general denoising algorithms," IEEE TIP 17(9):1540-1554, 2008. DOI:10.1109/TIP.2008.2001404
  4. Y. Lin, B. Wohlberg, H. Guo, "UPRE method for total variation parameter selection," Signal Processing 90(8):2546-2551, 2010. DOI:10.1016/j.sigpro.2010.02.025
  5. C.-A. Deledalle et al., "Stein Unbiased GrAdient estimator of the Risk (SUGAR) for multiple parameter selection," 2014. HAL:hal-00987295