Results 41 to 50 of about 17,556,704 (381)

Relaxed Variable Metric Primal-Dual Fixed-Point Algorithm with Applications

open access: yesMathematics, 2022
In this paper, a relaxed variable metric primal-dual fixed-point algorithm is proposed for solving the convex optimization problem involving the sum of two convex functions where one is differentiable with the Lipschitz continuous gradient while the ...
Wenli Huang   +3 more
doaj   +1 more source

Directional total generalized variation regularization [PDF]

open access: yesBIT Numerical Mathematics, 2019
In inverse problems, prior information and a priori-based regularization techniques play important roles. In this paper, we focus on image restoration problems, especially on restoring images whose texture mainly follow one direction. In order to incorporate the directional information, we propose a new directional total generalized variation (DTGV ...
Rasmus Dalgas Kongskov   +2 more
openaire   +4 more sources

Higher-order total variation approaches and generalisations [PDF]

open access: yesInverse Problems, 2019
Over the last decades, the total variation (TV) has evolved to be one of the most broadly-used regularisation functionals for inverse problems, in particular for imaging applications.
K. Bredies, M. Holler
semanticscholar   +1 more source

A weighted denoising method based on Bregman iterative regularization and gradient projection algorithms

open access: yesJournal of Inequalities and Applications, 2017
A weighted Bregman-Gradient Projection denoising method, based on the Bregman iterative regularization (BIR) method and Chambolle’s Gradient Projection method (or dual denoising method) is established.
Beilei Tong
doaj   +1 more source

Image Restoration with Fractional-Order Total Variation Regularization and Group Sparsity

open access: yesMathematics, 2023
In this paper, we present a novel image denoising algorithm, specifically designed to effectively restore both the edges and texture of images. This is achieved through the use of an innovative model known as the overlapping group sparse fractional-order
Jameel Ahmed Bhutto   +2 more
doaj   +1 more source

Continuum limit of total variation on point clouds [PDF]

open access: yes, 2014
We consider point clouds obtained as random samples of a measure on a Euclidean domain. A graph representing the point cloud is obtained by assigning weights to edges based on the distance between the points they connect.
Slepčev, Dejan   +1 more
core   +2 more sources

The Shannon Total Variation

open access: yesJournal of Mathematical Imaging and Vision, 2017
Discretization schemes commonly used for total variation regularization lead to images that are difficult to interpolate, which is a real issue for applications requiring subpixel accuracy and aliasing control. In the present work, we reconciliate total variation with Shannon interpolation and study a Fourier-based estimate that behaves much better in ...
Abergel, Rémy, Moisan, Lionel
openaire   +2 more sources

Design of Compressed Sensing Algorithm for Coal Mine IoT Moving Measurement Data Based on a Multi-Hop Network and Total Variation

open access: yesSensors, 2018
As the application of a coal mine Internet of Things (IoT), mobile measurement devices, such as intelligent mine lamps, cause moving measurement data to be increased.
Gang Wang, Zhikai Zhao, Yongjie Ning
doaj   +1 more source

Total variation regularization of multi-material topology optimization [PDF]

open access: yes, 2018
This work is concerned with the determination of the diffusion coefficient from distributed data of the state. This problem is related to homogenization theory on the one hand and to regularization theory on the other hand.
Clason, Christian   +2 more
core   +2 more sources

MRI Super-Resolution using Multi-Channel Total Variation [PDF]

open access: yes, 2018
This paper presents a generative model for super-resolution in routine clinical magnetic resonance images (MRI), of arbitrary orientation and contrast.
Ashburner, John   +3 more
core   +2 more sources

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