TY - JOUR
T1 - Exact reconstruction of damaged color images using a total variation model
JF - Ann. Inst. H. Poincare Anal. Non Lineaire 27 (2010) 1291-1331
Y1 - 2010
A1 - Irene Fonseca
A1 - Giovanni Leoni
A1 - Francesco Maggi
A1 - Massimiliano Morini
AB - In 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.
PB - Elsevier
UR - http://hdl.handle.net/1963/4039
U1 - 363
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - JOUR
T1 - Equilibrium configurations of epitaxially strained crystalline films: existence and regularity results
JF - Arch. Ration. Mech. Anal. 186 (2007) 477-537
Y1 - 2007
A1 - Irene Fonseca
A1 - Nicola Fusco
A1 - Giovanni Leoni
A1 - Massimiliano Morini
AB - Strained 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.
UR - http://hdl.handle.net/1963/2350
U1 - 1666
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -