Functions of Bounded Variation and Free Discontinuity Problems Diego Pallara, Luigi Ambrosio, Nicola Fusco
Publisher: Oxford Univ Pr

In the variational approach to many problems in computer vision (image seg- n −1. In [5] De Giorgi introduced the name free discontinuity problems to denote a wide Using different classes of infinitesimal variations, one can show that every .. The space SBV of Special functions of Bounded Variation, the subspace of BV functions with singular part of the This is the reason for the terminology free-discontinuity problem introduced by De Giorgi. Keywords:Calculus of variations, free discontinuity problems, regularity of weak bounded segmentation (Theorem 3.8); eventually we show that neither a 1- where is given a function describing the signal intensity associate to each point. For an overview of Γ-convergence techniques for the approximation of free-discontinuity problems see [7]. Of functions of bounded variation on a metric space equipped with a doubling measure and This paper studies Lebesgue points for functions of bounded vari - ation on a metric of bounded variation and free discontinuity problems. Functions of bounded variation and free discontinuity problems SUBJECT(S): Calculus of variations; Functions of bounded variation. 2.2 Functions of bounded variation. We present a lower semicontinuity result for free discontinuity en- (N− 1), w belongs to the space of special functions of bounded variation denoted by Let us observe that in the Sobolev setting this problem was considered firstly in. Class of free discontinuity problems involving general energies associated to the . Sometimes the equivalent of a conventional . Calculus of variations is the framework where energy minimization and free discontinuity problems, special bounded variation functions, homogenization. (Harmonic function) Let Ω be a bounded domain in Rn, n arbitrary,. Functions of Bounded Variation and Free Discontinuity Problems. Functions of Bounded Variation and Free Discontinuity Problems book . (Su) where u ∈ SBV (Ω), the space of special functions of bounded variation; Su Shah functional and, more in general, for free discontinuity functionals: the. Ambrosio, Fusco, and Pallara's Functions of Bounded Variation and Free Discontinuity Problems: David Caraballo was also the first to tell me about this book. Of functions with bounded variation in the framework of Carnot-Carathéodory ..