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In this paper, we propose a regularization technique for noisy-image super-resolution and image denoising. Total variation (TV) regularization is adopted in many image processing applications to preserve the local smoothness. However, TV…

图像与视频处理 · 电气工程与系统科学 2022-02-23 Kaicong Sun , Sven Simon

The total variation (TV) method is an image denoising technique that aims to reduce noise by minimizing the total variation of the image, which measures the variation in pixel intensities. The TV method has been widely applied in image…

计算机视觉与模式识别 · 计算机科学 2024-10-04 Jing-En Huang , Jia-Wei Liao , Ku-Te Lin , Yu-Ju Tsai , Mei-Heng Yueh

For image denoising problems, the structure tensor total variation (STV)-based models show good performances when compared with other competing regularization approaches. However, the STV regularizer does not couple the local information of…

最优化与控制 · 数学 2024-04-05 Xiuhan Sheng , Lijuan Yang , Jingya Chang

The total variation (TV) model and its related variants have already been proposed for image processing in previous literature. In this paper a novel total variation model based on kernel functions is proposed. In this novel model, we first…

计算机视觉与模式识别 · 计算机科学 2017-11-21 Zhizheng Liang , Lei Zhang , Jin Liu , Yong Zhou

Following the pioneering works of Rudin, Osher and Fatemi on total variation (TV) and of Buades, Coll and Morel on non-local means (NL-means), the last decade has seen a large number of denoising methods mixing these two approaches,…

图像与视频处理 · 电气工程与系统科学 2019-12-09 Haijuan Hu , Jacques Froment , Baoyan Wang , Xiequan Fan

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

The core of many approaches for the resolution of variational inverse problems arising in signal and image processing consists of promoting the sought solution to have a sparse representation in a well-suited space. A crucial task in this…

数值分析 · 数学 2022-09-07 Gabriele Scrivanti , Emilie Chouzenoux , Jean-Christophe Pesquet

We consider inverse problems with large null spaces, which arise in important applications such as in inverse ECG and EEG procedures. Standard regularization methods typically produce solutions in or near the orthogonal complement of the…

数值分析 · 数学 2025-12-05 Martin Burger , Ole Løseth Elvetun , Bjørn Fredrik Nielsen

Non-Local Total Variation (NLTV) has emerged as a useful tool in variational methods for image recovery problems. In this paper, we extend the NLTV-based regularization to multicomponent images by taking advantage of the Structure Tensor…

计算机视觉与模式识别 · 计算机科学 2014-12-11 Giovanni Chierchia , Nelly Pustelnik , Beatrice Pesquet-Popescu , Jean-Christophe Pesquet

A common strategy in variational image recovery is utilizing the nonlocal self-similarity (NSS) property, when designing energy functionals. One such contribution is nonlocal structure tensor total variation (NLSTV), which lies at the core…

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

This study presents the development of a spatially adaptive weighting strategy for Total Variation regularization, aimed at addressing under-determined linear inverse problems. The method leverages the rapid computation of an accurate…

In this paper, we propose a vector total variation (VTV) of feature image model for image restoration. The VTV imposes different smoothing powers on different features (e.g. edges and cartoons) based on choosing various regularization…

计算机视觉与模式识别 · 计算机科学 2018-02-13 Wei Wang , Xiang-Gen Xia , Shengli Zhang , Chuanjiang He

The challenge of image generation has been effectively modeled as a problem of structure priors or transformation. However, existing models have unsatisfactory performance in understanding the global input image structures because of…

计算机视觉与模式识别 · 计算机科学 2023-10-26 Pourya Shamsolmoali , Masoumeh Zareapoor , Huiyu Zhou , Xuelong Li , Yue Lu

In a class of piecewise-constant image segmentation models, we propose to incorporate a weighted difference of anisotropic and isotropic total variation (AITV) to regularize the partition boundaries in an image. In particular, we replace…

计算机视觉与模式识别 · 计算机科学 2021-07-20 Kevin Bui , Fredrick Park , Yifei Lou , Jack Xin

Traditional Machine Learning (ML) models like Support Vector Machine, Random Forest, and Logistic Regression are generally preferred for classification tasks on tabular datasets. Tabular data consists of rows and columns corresponding to…

计算机视觉与模式识别 · 计算机科学 2022-05-24 Md Ifraham Iqbal , Md. Saddam Hossain Mukta , Ahmed Rafi Hasan

Poisson noise commonly occurs in images captured by photon-limited imaging systems such as in astronomy and medicine. As the distribution of Poisson noise depends on the pixel intensity value, noise levels vary from pixels to pixels. Hence,…

图像与视频处理 · 电气工程与系统科学 2023-07-04 Kevin Bui , Yifei Lou , Fredrick Park , Jack Xin

The paper presents an image denoising scheme by combining a method that is based on directional quasi-analytic wavelet packets (qWPs) with the state-of-the-art Weighted Nuclear Norm Minimization (WNNM) denoising algorithm. The qWP-based…

图像与视频处理 · 电气工程与系统科学 2023-05-10 Amir Averbuch , Pekka Neittaanmäki , Valery Zheludev , Moshe Salhov , Jonathan Hauser

In this paper, a graph-based nonlocal total variation method (NLTV) is proposed for unsupervised classification of hyperspectral images (HSI). The variational problem is solved by the primal-dual hybrid gradient (PDHG) algorithm. By…

计算机视觉与模式识别 · 计算机科学 2017-04-26 Wei Zhu , Victoria Chayes , Alexandre Tiard , Stephanie Sanchez , Devin Dahlberg , Andrea L. Bertozzi , Stanley Osher , Dominique Zosso , Da Kuang

In this paper, we propose a novel variational model for decomposing images into their respective cartoon and texture parts. Our model characterizes certain non-local features of any Bounded Variation (BV) image by its Total Symmetric…

计算机视觉与模式识别 · 计算机科学 2025-03-31 Roy Y. He , Martin Huska , Hao Liu

In this paper, we propose a novel feature weighting method to address the limitation of existing feature processing methods for tabular data. Typically the existing methods assume equal importance across all samples and features in one…

机器学习 · 计算机科学 2024-05-20 Xinhao Zhang , Zaitian Wang , Lu Jiang , Wanfu Gao , Pengfei Wang , Kunpeng Liu
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