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A fundamental concept in solving inverse problems is the use of regularizers, which yield more physical and less-oscillatory solutions. Total variation (TV) has been widely used as an edge-preserving regularizer. However, objects are often…

图像与视频处理 · 电气工程与系统科学 2018-11-29 Shai Biton , Guy Gilboa

Sampling high-dimensional images is challenging due to limited availability of sensors; scanning is usually necessary in these cases. To mitigate this challenge, snapshot compressive imaging (SCI) was proposed to capture the…

图像与视频处理 · 电气工程与系统科学 2020-05-19 Xin Yuan

The total variation (TV) regularization method is an effective method for image deblurring in preserving edges. However, the TV based solutions usually have some staircase effects. In this paper, in order to alleviate the staircase effect,…

数值分析 · 数学 2015-05-20 Gang Liu , Ting-Zhu Huang , Jun Liu , Xiao-Guang Lv

In this paper we demonstrate that the framework of nonlinear spectral decompositions based on total variation (TV) regularization is very well suited for image fusion as well as more general image manipulation tasks. The well-localized and…

计算机视觉与模式识别 · 计算机科学 2017-03-24 Martin Benning , Michael Möller , Raz Z. Nossek , Martin Burger , Daniel Cremers , Guy Gilboa , Carola-Bibiane Schönlieb

This paper considers the constrained total variation (TV) denoising problem for complex-valued images. We extend the definition of TV seminorms for real-valued images to dealing with complex-valued ones. In particular, we introduce two…

图像与视频处理 · 电气工程与系统科学 2021-09-14 Yunhui Gao , Liangcai Cao

This paper proposes a nonlinear weighted anisotropic total variation (NWATV) regularization technique for electrical impedance tomography (EIT). The key idea is to incorporate the internal inhomogeneity information (e.g., edges of the…

偏微分方程分析 · 数学 2022-03-02 Yizhuang Song , Yanying Wang , Dong Liu

Classical total variation (TV) based iterative reconstruction algorithms assume that the signal is piecewise smooth, which causes reconstruction results to suffer from the over-smoothing effect. To address this problem, this work presents a…

医学物理 · 物理学 2018-03-06 Peng Bao , Jiliu Zhou , Yi Zhang

In this work, a novel algorithm called SVM with Shape-adaptive Reconstruction and Smoothed Total Variation (SaR-SVM-STV) is introduced to classify hyperspectral images, which makes full use of spatial and spectral information. The…

计算机视觉与模式识别 · 计算机科学 2022-04-15 Ruoning Li , Kangning Cui , Raymond H. Chan , Robert J. Plemmons

Total Variation (TV) is a popular regularization strategy that promotes piece-wise constant signals by constraining the $\ell_1$-norm of the first order derivative of the estimated signal. The resulting optimization problem is usually…

最优化与控制 · 数学 2020-10-20 Hamza Cherkaoui , Jeremias Sulam , Thomas Moreau

Direction-guided structure tensor total variation (DSTV) is a recently proposed regularization term that aims at increasing the sensitivity of the structure tensor total variation (STV) to the changes towards a predetermined direction.…

图像与视频处理 · 电气工程与系统科学 2024-11-12 Ezgi Demircan-Tureyen , Mustafa E. Kamasak

Total Generalized Variation (TGV) regularization in image reconstruction relies on an infimal convolution type combination of generalized first- and second-order derivatives. This helps to avoid the staircasing effect of Total Variation…

最优化与控制 · 数学 2022-05-09 Michael Hintermüller , Kostas Papafitsoros , Carlos N. Rautenberg , Hongpeng Sun

In this paper, we propose a novel locally statistical variational active contour model based on I-divergence-TV denoising model, which hybrides geodesic active contour (GAC) model with active contours without edges (ACWE) model, and can be…

计算机视觉与模式识别 · 计算机科学 2025-08-19 Guangming Liu

Total Variation (TV) based regularization has been widely applied in restoration problems due to its simple derivative filters based formulation and robust performance. While first order TV suffers from staircase effect, second order TV…

信号处理 · 电气工程与系统科学 2019-04-08 Sanjay Viswanath , Muthuvel Arigovindan

Recently, total variation (TV) based minimization algorithms have achieved great success in compressive sensing (CS) recovery for natural images due to its virtue of preserving edges. However, the use of TV is not able to recover the fine…

计算机视觉与模式识别 · 计算机科学 2012-12-27 Jian Zhang , Shaohui Liu , Debin Zhao , Ruiqin Xiong , Siwei Ma

In this paper, we design an efficient, multi-stage image segmentation framework that incorporates a weighted difference of anisotropic and isotropic total variation (AITV). The segmentation framework generally consists of two stages:…

计算机视觉与模式识别 · 计算机科学 2023-11-17 Kevin Bui , Yifei Lou , Fredrick Park , Jack Xin

Conventional model-based image denoising optimizations employ convex regularization terms, such as total variation (TV) that convexifies the $\ell_0$-norm to promote sparse signal representation. Instead, we propose a new non-convex total…

图像与视频处理 · 电气工程与系统科学 2025-06-04 Songlin Wei , Gene Cheung , Fei Chen , Ivan Selesnick

Coded ptychography has emerged as a powerful technique for high-throughput, high-resolution lensless imaging. However, the trade-off between acquisition speed and image quality remains a significant challenge. To address this, we introduce…

图像与视频处理 · 电气工程与系统科学 2024-09-04 Ninghe Liu , Qianhao Zhao , Guoan Zheng

We propose an efficient estimation technique for the automatic selection of locally-adaptive Total Variation regularisation parameters based on an hybrid strategy which combines a local maximum-likelihood approach estimating space-variant…

最优化与控制 · 数学 2020-05-20 Luca Calatroni , Alessandro Lanza , Monica Pragliola , Fiorella Sgallari

In this paper, we propose a novel approach to hyperspectral image super-resolution by modeling the global spatial-and-spectral correlation and local smoothness properties over hyperspectral images. Specifically, we utilize the tensor…

计算机视觉与模式识别 · 计算机科学 2016-01-26 Shiying He , Haiwei Zhou , Yao Wang , Wenfei Cao , Zhi Han

Total variation (TV) regularization has proven effective for a range of computer vision tasks through its preferential weighting of sharp image edges. Existing TV-based methods, however, often suffer from the over-smoothing issue and…

计算机视觉与模式识别 · 计算机科学 2018-12-26 Dong Gong , Mingkui Tan , Qinfeng Shi , Anton van den Hengel , Yanning Zhang