A new inequality for the Riemann-Stieltjes integrals driven by irregular signals in Banach spaces
We prove an inequality of the Loéve-Young type for the Riemann-Stieltjes integrals driven by irregular signals attaining their values in Banach spaces, and, as a result, we derive a new theorem on the existence of the Riemann-Stieltjes integrals driven ...
Rafał M Łochowski
doaj +1 more source
Semisoft Generalized Total Variation Minimization for Image Reconstruction in Computed Tomography
The generalized l1 greedy algorithm was recently proposed and shown to outperform the standard reweighted l1-minimization and l1-greedy algorithms for image reconstruction in computed tomography (CT).
Xiezhang Li +3 more
doaj +1 more source
Adaptive mesh reconstruction: Total Variation Bound
We consider 3-point numerical schemes for scalar Conservation Laws, that are oscillatory either to their dispersive or anti-diffusive nature. Oscillations are responsible for the increase of the Total Variation (TV); a bound on which is crucial for the ...
Sfakianakis, Nikolaos
core +1 more source
The total variation distance between high-dimensional Gaussians
We prove a lower bound and an upper bound for the total variation distance between two high-dimensional Gaussians, which are within a constant factor of one another.Comment: 12 ...
Devroye, Luc +2 more
core
Low-Rank Tensor Completion with Total Variation for Visual Data Inpainting
With the advance of acquisition techniques, plentiful higherorder tensor data sets are built up in a great variety of fields such as computer vision, neuroscience, remote sensing and recommender systems.
Xutao Li, Yunming Ye, Xiaofei Xu
semanticscholar +1 more source
Variational Destriping in Remote Sensing Imagery: Total Variation with L1 Fidelity
This paper introduces a variational method for destriping data acquired by pushbroom-type satellite imaging systems. The model leverages sparsity in signals and is based on current research in sparse optimization and compressed sensing.
Igor Yanovsky, Konstantin Dragomiretskiy
doaj +1 more source
Structure tensor adaptive total variation for image restoration
Image denoising and restoration is one of the basic requirements in many digital image processing systems. Variational regularization methods are widely used for removing noise without destroying edges that are important visual cues.
S. Prasath, D. Thanh
semanticscholar +1 more source
Rate of convergence of Stancu beta operators for functions of bounded variation
In this paper we study beta operators of second kind recently introduced by Prof. D. D. Stancu. We obtain an estimate on the rate of convergence for functions of bounded variation by means of the decomposition technique.
Ulrich Abel, Vijay Gupta
doaj +2 more sources
Millimeter-Wave InSAR Image Reconstruction Approach by Total Variation Regularized Matrix Completion
Millimeter-wave interferometric synthetic aperture radiometer (InSAR) can provide high-resolution observations for many applications by using small antennas to achieve very large synthetic aperture.
Yilong Zhang +4 more
doaj +1 more source
Trends to equilibrium in total variation distance
This paper presents different approaches, based on functional inequalities, to study the speed of convergence in total variation distance of ergodic diffusion processes with initial law satisfying a given integrability condition. To this end, we give a general upper bound "à la Pinsker" enabling us to study our problem firstly via usual functional ...
Cattiaux, Patrick, Guillin, Arnaud
openaire +6 more sources

