[HTML][HTML] Image restoration with a high-order total variation minimization method

XG Lv, YZ Song, SX Wang, J Le - Applied Mathematical Modelling, 2013 - Elsevier
In this paper, we propose a fast and efficient way to restore blurred and noisy images with a
high-order total variation minimization technique. The proposed method is based on an …

Image segmentation based on an active contour model of partial image restoration with local cosine fitting energy

J Miao, TZ Huang, X Zhou, Y Wang, J Liu - Information Sciences, 2018 - Elsevier
In this paper, we use the cosine function to express the data energy fitting of a traditional
active contours model and propose a model based on sectional image recovery local cosine …

[HTML][HTML] Restoration of blurred color images with impulse noise

J Liu, TZ Huang, XG Lv, J Huang - Computers & Mathematics with …, 2015 - Elsevier
Restoration of images degraded by blurring and impulse noise has received considerable
attention recently. Guo et al.(2009) proposed a fast l 1-total variation algorithm for grayscale …

Kronecker product approximations for image restoration with whole-sample symmetric boundary conditions

XG Lv, TZ Huang, ZB Xu, XL Zhao - Information Sciences, 2012 - Elsevier
Reflexive boundary conditions (BCs) assume that the array values outside the viewable
region are given by a symmetry of the array values inside. The reflection guarantees the …

[HTML][HTML] A special Hermitian and skew-Hermitian splitting method for image restoration

XG Lv, TZ Huang, ZB Xu, XL Zhao - Applied Mathematical Modelling, 2013 - Elsevier
In this paper, we consider an ill-posed image restoration problem with a noise contaminated
observation, and a known convolution kernel. A special Hermitian and skew-Hermitian …

Iterative nonlocal total variation regularization method for image restoration

H Xu, Q Sun, N Luo, G Cao, D **a - PloS one, 2013 - journals.plos.org
In this paper, a Bregman iteration based total variation image restoration algorithm is
proposed. Based on the Bregman iteration, the algorithm splits the original total variation …

A novel variational model for image decomposition

J Xu, Y Hao, M Li, X Zhang - Signal, Image and Video Processing, 2019 - Springer
Image decomposition denotes a process by which an image is decomposed into several
different scales, such as cartoon, texture (or noise) and edge. In order to better separate the …

An augmented Lagrangian algorithm for total bounded variation regularization based image deblurring

Y Xu, TZ Huang, J Liu, XG Lv - Journal of the Franklin Institute, 2014 - Elsevier
The augmented Lagrangian strategy has recently emerged as an important methodology for
image processing problems. In this paper, based on this strategy, we propose a new …

Multiscale variational decomposition and its application for image hierarchical restoration

L Tang, C He - Computers & Electrical Engineering, 2016 - Elsevier
Variational decomposition has been widely used in image denoising, however, it can't
distinguish texture from noise well. Replacing the fixed parameter in the (BV, G) …

New regularization models for image denoising with a spatially dependent regularization parameter

TH Ma, TZ Huang, XL Zhao - Abstract and Applied Analysis, 2013 - Wiley Online Library
We consider simultaneously estimating the restored image and the spatially dependent
regularization parameter which mutually benefit from each other. Based on this idea, we …