Displaying similar documents to “Non-uniform integrability and generalized Young measures.”

On the lower semicontinuity of supremal functionals defined on measures

Michele Gori (2006)

Bollettino dell'Unione Matematica Italiana

Similarity:

In this paper we consider two particular classes of supremal functionals defined on Radon measures and we find necessary and sufficient conditions for their lower semicontinuity with respect to the weak* convergence. Some applications to the minimization of functionals defined on BV are presented.

No return to convexity

Jakub Onufry Wojtaszczyk (2010)

Studia Mathematica

Similarity:

We study the closures of classes of log-concave measures under taking weak limits, linear transformations and tensor products. We investigate which uniform measures on convex bodies can be obtained starting from some class 𝒦. In particular we prove that if one starts from one-dimensional log-concave measures, one obtains no non-trivial uniform mesures on convex bodies.

Region of interest contrast measures

Václav Remeš, Michal Haindl (2018)

Kybernetika

Similarity:

A survey of local image contrast measures is presented and a new contrast measure for measuring the local contrast of regions of interest is proposed. The measures validation is based on the gradual objective contrast decreasing on medical test images in both grayscale and color. The performance of the eleven most frequented contrast measures is mutually compared and their robustness to different types of image degradation is analyzed. Since the contrast measures can be both global,...