In this talk we will demonstrate, in MATLAB, the implementation of some variational methods such as ALM [1], SB [2,3], and FTVd [4] for image denoising and deblurring. Experiments will also be included.

References

[1] X. C. Tai and C. Wu, Augmented Lagrangian method, dual methods and split Bregman iteration for ROF model, in Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision, 2009, Springer.

[2] T. Goldstein and S. Osher, The split Bregman method for L1 regularized problems, SIAM Journal on Imaging Sciences, 2 (2009), pp. 323-343.

[3] P. Getreuer, Rudin-Osher-Fatemi total variation denoising using split Bregman, Image Processing On Line, 2 (2012), pp. 74-95.

[4] Y. Wang, W. Yin, and Y. Zhang, A fast algorithm for image deblurring with total variation regularization, CAAM Technical Report, 07-10 (2007), Rice University.