00773nas a2200145   4500008004300000245007900043210006900122260001300191520030200204100001900506700002000525700002100545700002500566856003600591       2010                        en_Ud  00aExact reconstruction of damaged color images using a total variation model0 aExact reconstruction of damaged color images using a total varia  bElsevier3 aIn this paper the reconstruction of damaged piecewice constant color images is studied using a RGB total variation based model for colorization/inpainting. In particular, it is shown that when color is known in a uniformly distributed region, then reconstruction is possible with maximal fidelity.1 aFonseca, Irene1 aLeoni, Giovanni1 aMaggi, Francesco1 aMorini, Massimiliano  uhttp://hdl.handle.net/1963/403901323nas a2200133   4500008004300000245010700043210006900150520085200219100001901071700001801090700002001108700002501128856003601153       2007                        en_Ud  00aEquilibrium configurations of epitaxially strained crystalline films: existence and regularity results0 aEquilibrium configurations of epitaxially strained crystalline f3 aStrained epitaxial films grown on a relatively thick substrate are considered in the context of plane linear elasticity. The total free energy of the system is assumed to be the sum of the energy of the free surface of the film and the strain energy. Because of the lattice mismatch between film and substrate, flat configurations are in general energetically unfavorable and a corrugated or islanded morphology is the preferred growth mode of the strained film. After specifying the functional setup in which the existence problem can be properly framed, a study of the qualitative properties of the solutions is undertaken. New regularity results for volume-constrained local minimizers of the total free energy are established, leading, as a byproduct, to a rigorous proof of the zero-contact-angle condition between islands and wetting layers.1 aFonseca, Irene1 aFusco, Nicola1 aLeoni, Giovanni1 aMorini, Massimiliano  uhttp://hdl.handle.net/1963/2350