"This is the pre-peer reviewed version of the following article: [B. Orazbayev, N. Mohammadi Estakhri, A. Alù, and M. Beruete, “Experimental Demonstration of Metasurface-Based Ultrathin Carpet Cloaks for Millimeter Waves,” Adv. Opt. Mater., vol. 5, no. 1, p. 1600606, Jan. 2017.], which has been published in final form at [doi:10.1002/adom.201600606]. This article may be used for non-commercial ...

We propose a variational approach for deblurring and impulsive noise removal in multi-channel images. A robust data fidelity measure and edge preserving regularization are employed. We consider several regularization approaches, such as Beltrami flow, Mumford-Shah and Total-Variation Mumford-Shah. The latter two methods are extended to multi-channel images and reformulated using the Γ -converge...

This paper is the first part of an ongoing project aimed at providing a local minimality criterion, based on a second variation approach, for the triple point configurations of the Mumford-Shah functional.

We prove an ε-regularity theorem at the endpoint of connected arcs for 2-dimensional Mumford-Shah minimizers. In particular we show that, if in a given ball Br(x) the jump set of a given MumfordShah minimizer is sufficiently close, in the Hausdorff distance, to a radius of Br(x), then in a smaller ball the jump set is a connected arc which terminates at some interior point y0 and it is C 1,α up...

We prove higher integrability for the gradient of local minimizers of the Mumford-Shah energy functional, providing a positive answer to a conjecture of De Giorgi [5].