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Hyperspectral image super-resolution (HSI-SR) has emerged as a challenging yet critical problem in remote sensing. Existing approaches primarily focus on regularization techniques that leverage low-rankness and local smoothness priors.…

数值分析 · 数学 2026-05-13 Jun Zhang , Chao Yi , Mingxi Ma , Mengling He , Chao Wang

Compressed sensing (CS) methods in magnetic resonance imaging (MRI) offer rapid acquisition and improved image quality but require iterative reconstruction schemes with regularization to enforce sparsity. Regardless of the difficulty in…

计算机视觉与模式识别 · 计算机科学 2018-09-19 Raji Susan Mathew , Joseph Suresh Paul

Hyperspectral images (HSI) classification is a high technical remote sensing software. The purpose is to reproduce a thematic map . The HSI contains more than a hundred hyperspectral measures, as bands (or simply images), of the concerned…

计算机视觉与模式识别 · 计算机科学 2022-11-18 Elkebir Sarhrouni , Ahmed Hammouch , Driss Aboutajdine

Total variation (TV) is a widely used function for regularizing imaging inverse problems that is particularly appropriate for images whose underlying structure is piecewise constant. TV regularized optimization problems are typically solved…

图像与视频处理 · 电气工程与系统科学 2025-08-26 Edward P. Chandler , Shirin Shoushtari , Brendt Wohlberg , Ulugbek S. Kamilov

While Total Variation (TV) excels in noise reduction and edge preservation, its reliance on a scalar regularization parameter limits adaptivity. In this study, we present a Learnable Total Variation (LTV) framework coupling an unrolled TV…

计算机视觉与模式识别 · 计算机科学 2026-02-03 Yusuf Talha Basak , Mehmet Ozan Unal , Metin Ertas , Isa Yildirim

Numerous total variation (TV) regularizers, engaged in image restoration problem, encode the gradients by means of simple $[-1,1]$ FIR filter. Despite its low computational processing, this filter severely deviates signal's high frequency…

最优化与控制 · 数学 2015-06-17 Mahdi S. Hosseini , Konstantinos N. Plataniotis

Hyperspectral images (HSIs) capture richer spatial-spectral information beyond RGB, yet real-world HSIs often suffer from a composite mix of degradations, such as noise, blur, and missing bands. Existing generative approaches for HSI…

计算机视觉与模式识别 · 计算机科学 2026-02-03 Xiangming Wang , Benteng Sun , Yungeng Liu , Haijin Zeng , Yongyong Chen , Jingyong Su , Jie Liu

Hyperspectral image (HSI) has some advantages over natural image for various applications due to the extra spectral information. During the acquisition, it is often contaminated by severe noises including Gaussian noise, impulse noise,…

图像与视频处理 · 电气工程与系统科学 2020-07-03 Zhen Long , Yipeng Liu , Sixing Zeng , Jiani Liu , Fei Wen , Ce Zhu

In recent years, total variation (TV) and Euler's elastica (EE) have been successfully applied to image processing tasks such as denoising and inpainting. This paper investigates how to extend TV and EE to the supervised learning settings…

机器学习 · 计算机科学 2012-06-22 Tong Lin , Hanlin Xue , Ling Wang , Hongbin Zha

Denoising is a crucial step for hyperspectral image (HSI) applications. Though witnessing the great power of deep learning, existing HSI denoising methods suffer from limitations in capturing the non-local self-similarity. Transformers have…

计算机视觉与模式识别 · 计算机科学 2023-04-04 Miaoyu Li , Ji Liu , Ying Fu , Yulun Zhang , Dejing Dou

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

Total Variation (TV) and related extensions have been popular in image restoration due to their robust performance and wide applicability. While the original formulation is still relevant after two decades of extensive research, its…

图像与视频处理 · 电气工程与系统科学 2021-06-02 Sanjay Viswanath , Simon de Beco , Maxime Dahan , Muthuvel Arigovindan

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

In this paper, we propose an alternating directional 3D quasi-recurrent neural network for hyperspectral image (HSI) denoising, which can effectively embed the domain knowledge -- structural spatio-spectral correlation and global…

计算机视觉与模式识别 · 计算机科学 2020-03-11 Kaixuan Wei , Ying Fu , Hua Huang

Hyperspectral (HS) unmixing is the process of decomposing an HS image into material-specific spectra (endmembers) and their spatial distributions (abundance maps). Existing unmixing methods have two limitations with respect to noise…

图像与视频处理 · 电气工程与系统科学 2024-03-20 Kazuki Naganuma , Shunsuke Ono

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

Hyperspectral image denoising faces the challenge of multi-dimensional coupling of spatially non-uniform noise and spectral correlation interference. Existing deep learning methods mostly focus on RGB images and struggle to effectively…

计算机视觉与模式识别 · 计算机科学 2025-07-29 Haoyue Li , Di Wu

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

The core challenge of hyperspectral image denoising is striking the right balance between data fidelity and noise prior modeling. Most existing methods place too much emphasis on the intrinsic priors of the image while overlooking diverse…

计算机视觉与模式识别 · 计算机科学 2026-04-22 Xuelin Xie , Xiliang Lu , Zhengshan Wang , Yang Zhang , Long Chen

We propose two new variational models aimed to outperform the popular total variation (TV) model for image restoration with L$_2$ and L$_1$ fidelity terms. In particular, we introduce a space-variant generalization of the TV regularizer,…

图像与视频处理 · 电气工程与系统科学 2019-06-28 Alessandro Lanza , Serena Morigi , Monica Pragliola , Fiorella Sgallari