We propose a convex variational approach to space-time reconstruction which estimates surface normal information and integrates it into the photoconsistency estimation as well as into an anisotropic spatio-temporal total variation regularization. As such the proposed method generalizes the works [4], [5]. Although [4] already studied anisotropic regularization they did not estimate normals but ...

Two methods are given for the calculus of the fundamental matrix for the generalized linear differential equations on the Banach space of functions of bounded variation. The main result extends the Peano-Baker formula in this framework.

Given a strictly positive measure, we characterize inner semicontinuous solid convex-valued mappings for which continuous functions which are selections almost everywhere are selections. This class contains continuous mappings as well as fully lower semicontinuous closed convex-valued mappings that arise in variational analysis and optimization of integral functionals. The characterization allo...

In this letter, a surround suppression variational Retinex enhancement algorithm (SSVR) is proposed for non-uniform illumination images. Instead of a gradient module, a surround suppression mechanism is used to provide spatial information in order to constrain the total variation regularization strength of the illumination and reflectance. The proposed strategy preserves the boundary areas in t...

In this paper, we study harmonic maps relative to α-connections, but not necessarily standard harmonic maps. A standard harmonic map is defined by the first variation of the energy functional of a map. A harmonic map relative to an α-connection is defined by an equation similar to a first variational equation, though it is not induced by the first variation of the standard energy functional. In...

Balanced Viscosity solutions to rate-independent systems arise as limits of regularized rate-independent flows by adding a superlinear vanishing-viscosity dissipation. We address the main issue of proving the existence of such limits for infinite-dimensional systems and of characterizing them by a couple of variational properties that combine a local stability condition and a balanced energy-di...

The aim of this paper is to study the isoperimetric problem with fixed volume inside convex sets and other related geometric variational problems in the Gauss space, in both the finite and infinite dimensional case. We first study the finite dimensional case, proving the existence of a maximal Cheeger set which is convex inside any bounded convex set. We also prove the uniqueness and convexity ...

Criteria are developed for monotonicity of linear as well as nonlinear difference schemes associated with the numerical analysis of systems of partial differential equations, integrodifferential equations, etc. Difference schemes are converted into variational forms that satisfy the boundary maximum principle and also allow the investigation of monotonicity for nonlinear operators using linear ...

We show that the contact dynamics obtained from Herglotz variational principle can be described as a constrained nonholonomic or vakonomic ordinary Lagrangian system depending on dissipative variable with an adequate choice of one constraint. As consequence we obtain and systems calculus constraints variable. The variation energy other quantities are also giving usual results.

By using the heat kernel parameter expansion with respect to frozen SDEs, intrinsic derivative is estimated for law of Mckean-Vlasov SDEs initial distribution. As an application, total variation distance between laws two solutions bounded by Wasserstein distributions. These extend some recent results proved distribution-free noise coupling method and Malliavin calculus.