Motivated by models of fracture mechanics, this paper is devoted to the analysis of a unilateral gradient flow of the Ambrosio-Tortorelli functional, where unilaterality comes from an irreversibility constraint on the fracture density. Solutions of such evolution are constructed by means of an implicit Euler scheme. An asymptotic analysis in the Mumford-Shah regime is then carried out. It shows...

In this paper, we propose a robust technique that integrates spatial and temporal information for consistent recovery of the endocardium. To account for the low image quality we introduce a local variant of the Mumford-Shah that is coupled with a model of limited parameters to describe the ventricle, namely an ellipse. The objective function is defined on the implicit space of ellipses, separat...

The Shah-Kuh granitoid has intruded in the Triassic–Jurassic, pelitic and psammitic low-grade metamorphic rocks of the NE LutBlock, in Central Iran. Cordierite porphyroblasts are common in the southern pelitic sediments, but are rare in the northern psammiticrocks, in the contact aureole. Deformation fabrics in the contact aureole are well-preserved within the cordierite porphyroblasts. Therela...

I nvestigators in a study published in 2010 compared the efficacy of nimesulide with that of meloxicam (two nonsteroidal anti-inflammatory drugs) in the control of postoperative pain, swelling and trismus after extraction of impacted man-dibular third molars. 1 Among their conclusions , the authors stated that " [nimesu-lide] was more effective than [meloxicam] in the control of swelling and tr...

Ω |∇u| dx+ cH(Su) where u ∈ SBV (Ω), the space of special functions of bounded variation; Su is the approximate discontinuity set of u and Hn−1 is the (n− 1)-dimensional Hausdorff measure. Several approximation methods are known for the MumfordShah functional and, more in general, for free discontinuity functionals: the Ambrosio & Tortorelli approximation (see [1] and [3]) via elliptic function...