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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,…

Numerical Analysis · Mathematics 2015-05-20 Gang Liu , Ting-Zhu Huang , Jun Liu , Xiao-Guang Lv

In this study, the problem of computing a sparse representation of multi-dimensional visual data is considered. In general, such data e.g., hyperspectral images, color images or video data consists of signals that exhibit strong local…

Computer Vision and Pattern Recognition · Computer Science 2023-03-16 Alexandros Gkillas , Dimitris Ampeliotis , Kostas Berberidis

Deconvolution is a widely used strategy to mitigate the blurring and noisy degradation of hyperspectral images~(HSI) generated by the acquisition devices. This issue is usually addressed by solving an ill-posed inverse problem. While…

Image and Video Processing · Electrical Eng. & Systems 2023-05-03 Xiuheng Wang , Jie Chen , Cédric Richard

Recently, we have witnessed the success of total variation (TV) for many imaging applications. However, traditional TV is defined on the original pixel domain, which limits its potential. In this work, we suggest a new TV regularization…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Yisi Luo , Xile Zhao , Kai Ye , Deyu Meng

The inherent ill-posed nature of image reconstruction problems, due to limitations in the physical acquisition process, is typically addressed by introducing a regularisation term that incorporates prior knowledge about the underlying…

Image and Video Processing · Electrical Eng. & Systems 2025-03-11 Naïl Khelifa , Ferdia Sherry , Carola-Bibiane Schönlieb

Array synthetic aperture radar (SAR) three-dimensional (3D) imaging can obtain 3D information of the target region, which is widely used in environmental monitoring and scattering information measurement. In recent years, with the…

Image and Video Processing · Electrical Eng. & Systems 2024-06-04 Yangyang Wang , Xu Zhan , Jing Gao , Jinjie Yao , Shunjun Wei , JianSheng Bai

Natural images tend to mostly consist of smooth regions with individual pixels having highly correlated spectra. This information can be exploited to recover hyperspectral images of natural scenes from their incomplete and noisy…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Reza Arablouei , Frank de Hoog

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…

Computer Vision and Pattern Recognition · Computer Science 2022-04-15 Ruoning Li , Kangning Cui , Raymond H. Chan , Robert J. Plemmons

Sparse model is widely used in hyperspectral image classification.However, different of sparsity and regularization parameters has great influence on the classification results.In this paper, a novel adaptive sparse deep network based on…

Image and Video Processing · Electrical Eng. & Systems 2019-10-22 Jingwen Yan , Zixin Xie , Jingyao Chen , Yinan Liu , Lei Liu

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…

Computer Vision and Pattern Recognition · Computer Science 2017-04-26 Wei Zhu , Victoria Chayes , Alexandre Tiard , Stephanie Sanchez , Devin Dahlberg , Andrea L. Bertozzi , Stanley Osher , Dominique Zosso , Da Kuang

Sparsity in the eigenvectors of signal covariance matrices is exploited in this paper for compression and denoising. Dimensionality reduction (DR) and quantization modules present in many practical compression schemes such as transform…

Applications · Statistics 2015-06-03 Ioannis D. Schizas , Georgios B. Giannakis

Hyperspectral image (HSI) super-resolution is commonly used to overcome the hardware limitations of existing hyperspectral imaging systems on spatial resolution. It fuses a low-resolution (LR) HSI and a high-resolution (HR) conventional…

Image and Video Processing · Electrical Eng. & Systems 2021-04-27 Xiuheng Wang , Jie Chen , Qi Wei , Cédric Richard

Recent work in CT imaging has seen increased interest in the use of total variation (TV) and related penalties to regularize problems involving reconstruction from undersampled or incomplete data. Superiorization is a recently proposed…

Medical Physics · Physics 2017-10-02 T. Humphries , J. Winn , A. Faridani

Regularization plays a crucial role in reliably utilizing imaging systems for scientific and medical investigations. It helps to stabilize the process of computationally undoing any degradation caused by physical limitations of the imaging…

Image and Video Processing · Electrical Eng. & Systems 2021-05-26 Manu Ghulyani , Deepak G Skariah , Muthuvel Arigovindan

Despite the popularity and practical success of total variation (TV) regularization for function estimation, surprisingly little is known about its theoretical performance in a statistical setting. While TV regularization has been known for…

Statistics Theory · Mathematics 2026-05-08 Miguel del Álamo , Housen Li , Axel Munk

2D Total Variation Denoising (TVD) is a widely used technique for image denoising. It is also an important nonparametric regression method for estimating functions with heterogenous smoothness. Recent results have shown the TVD estimator to…

Statistics Theory · Mathematics 2024-06-26 Sabyasachi Chatterjee , Subhajit Goswami

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…

Image and Video Processing · Electrical Eng. & Systems 2024-09-04 Ninghe Liu , Qianhao Zhao , Guoan Zheng

Snapshot hyperspectral imaging can capture the 3D hyperspectral image (HSI) with a single 2D measurement and has attracted increasing attention recently. Recovering the underlying HSI from the compressive measurement is an ill-posed problem…

Image and Video Processing · Electrical Eng. & Systems 2021-01-25 Niankai Cheng , Hua Huang , Lei Zhang , Lizhi Wang

Non-local low-rank tensor approximation has been developed as a state-of-the-art method for hyperspectral image (HSI) restoration, which includes the tasks of denoising, compressed HSI reconstruction and inpainting. Unfortunately, while its…

Image and Video Processing · Electrical Eng. & Systems 2020-10-27 Wei He , Quanming Yao , Chao Li , Naoto Yokoya , Qibin Zhao , Hongyan Zhang , Liangpei Zhang

Over the last decades, the total variation (TV) evolved to one of the most broadly-used regularisation functionals for inverse problems, in particular for imaging applications. When first introduced as a regulariser, higher-order…

Optimization and Control · Mathematics 2020-12-30 Kristian Bredies , Martin Holler