In this paper, we extend Mumford-Shah energy, the most general model for image segmentation on the assumption that all visible surface patches have intensity which is slowly varying plus noise, to unsupervised texture segmentation by considering multiple channels including both colors and Gabor wavelets representations. The Mumford-Shah energy in the paper thus formalizes a tradeoff between reg...

Sangmin Oh, Anthony Hoogs, Amitha Perera, Naresh Cuntoor, Chia-Chih Chen, Jong Taek Lee, Saurajit Mukherjee, J. K. Aggarwal, Hyungtae Lee, Larry Davis, Eran Swears, Xiaoyang Wang, Qiang Ji, Kishore Reddy, Mubarak Shah, Carl Vondrick, Hamed Pirsiavash, Deva Ramanan, Jenny Yuen, Antonio Torralba, Bi Song, Anesco Fong, Amit Roy-Chowdhury, Mita Desai {sangmin.oh, anthony.hoogs, amitha.perera,naresh...

Piecewise constant Mumford-Shah segmentation [17] has been rediscovered by Chan and Vese [6] in the context of region based active contours. The work of Chan and Vese demonstrated many practical applications thanks to their clever numerical implementation using the level-set technology of Osher and Sethian [18]. The current work proposes a Γ -convergence formulation to the piecewise constant Mu...

Using a calibration method, we prove that, if w is a function which satisfies all Euler conditions for the Mumford-Shah functional on a two-dimensional open set Ω, and the discontinuity set of w is a segment connecting two boundary points, then for every point (x0, y0) of Ω there exists a neighbourhood U of (x0, y0) such that w is a minimizer of the Mumford-Shah functional on U with respect to ...

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...

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...