L. Ambrosio, V. Caselles, S. Masnou, J. M. Morel: Connected Components of Sets of Finite Perimeter and Applications to Image Processing Journal of EMS. N. 3, p. 213-266, 2001 G. Bellettini, V. Caselles, M. Novaga: The Total Variation Flow in $R^N$ J. Differential Equations Vol. 184, N. 2, p. 475-525, 2002 G. Bellettini, V. Caselles, M. Novaga: Explicit solutions of the eigenvalue problem $- {\rm div} \left( Du/ \vert Du \vert \right) = u$ SIAM J. Math. Anal. Vol. 36, p. 1095-1129, 2005 G. Bellettini, V. Caselles, A. Chambolle, M. Novaga: Crystalline mean curvature flow of convex sets Arch. Rational Mech. Anal. Vol. 179, N. 1, p. 109-152, 2006 F. Alter, V. Caselles: Uniqueness of the Cheeger set of a convex body Nonlinear Analysis TMA (Submitted Paper) 2007 V. Caselles, A. Chambolle, M. Novaga: Uniqueness of the Cheeger set of a convex body Pacific Journal of Mathematics Vol. 232, N. 1, p. 77-90, 2007 V. Caselles, A. Chambolle, M. Novaga: The discontinuity set of solutions of the TV denoising problem and some extensions Multiscale Modeling and Simulation Vol. 6, N. 3, p. 879-894, 2007 V. Caselles, A. Chambolle, S. Moll, M. Novaga: A characterization of convex calibrable sets in $\mathbb R^N$ with respect to anisotropic norms Ann. Inst. H. Poincaré - Anal. Non Linéaire Vol. 25, N. 4, p. 803-832, 2008 G. Bellettini, V. Caselles, A. Chambolle, M. Novaga: The volume preserving crystalline mean curvature flow of convex sets in $\mathbf R^N$ J. Math. Pures Appl. Vol. 92, N. 5, p. 499-527, 2009 V. Caselles, M. Miranda Jr, M. Novaga: Total Variation and Cheeger Sets in Gauss Space J. Funct. Anal. Vol. 259, N. 6, p. 1491-1516, 2010 V. Caselles, A. Chambolle, D. Cremers, M. Novaga, T. Pock: An introduction to Total Variation for Image Analysis Theoretical Foundations and Numerical Methods for Sparse Recovery, De Gruyter, Radon Series Comp. Appl. Math. Vol. 9, p. 263-340, 2010 V. Caselles, A. Chambolle, M. Novaga: Some remarks on uniqueness and regularity of Cheeger sets Rend. Sem. Mat. Padova Vol. 123, p. 191-201, 2010 V. Caselles, A. Chambolle, M. Novaga: Regularity for solutions of the total variation denoising problem Rev. Mat. Iberoamericana Vol. 27, N. 1, p. 233-252, 2011 V. Caselles, A. Chambolle, M. Novaga: Total variation in imaging in Handbook of Mathematical Methods in Imaging, Springer p. 1016-1057, 2011 V. Caselles, A. Lunardi, M. Miranda Jr, M. Novaga: Perimeter of sublevel sets in infinite dimensional spaces Adv. Calc. Var. Vol. 5, N. 1, p. 59--76, 2012 V. Caselles, K. Jalalzai, M. Novaga: On the jump set of solutions of the Total Variation flow Rend. Sem. Mat. Padova Vol. 130, p. 155-168, 2013