Proc. of the 22nd European Signal Processing Conf. (EUSIPCO), Lisbon, Portugal, Sept. 2014. SEMI-LOCAL TOTAL VARIATION FOR REGULARIZATION OF INVERSE PROBLEMS

We propose the discrete semi-local total variation (SLTV) as a new regularization functional for inverse problems in imag-ing. The SLTV favors piecewise linear images; so the main drawback of the total variation (TV), its clustering effect, is avoided. Recently proposed primal-dual methods allow to solve the corresponding optimization problems as easily and efficiently as with the classical TV. Index Terms — total variation, non-local regularization, inverse problem, convex optimization, proximal method 1