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Several bandwise total variation (TV) regularized low-rank (LR)-based models have been proposed to remove mixed noise in hyperspectral images (HSIs). Conventionally, the rank of LR matrix is approximated using nuclear norm (NN). The NN is…

Computer Vision and Pattern Recognition · Computer Science 2020-05-11 Haijin Zeng , Xiaozhen Xie , Jifeng Ning

Hyperspectral images (HSI) contain a wealth of information over hundreds of contiguous spectral bands, making it possible to classify materials through subtle spectral discrepancies. However, the classification of this rich spectral…

Machine Learning · Computer Science 2018-12-07 Ramanarayan Mohanty , SL Happy , Aurobinda Routray

This paper introduces a novel paradigm for hyperspectral image (HSI) denoising, which is termed \textit{pan-denoising}. In a given scene, panchromatic (PAN) images capture similar structures and textures to HSIs but with less noise. This…

Image and Video Processing · Electrical Eng. & Systems 2024-09-10 Shuang Xu , Qiao Ke , Jiangjun Peng , Xiangyong Cao , Zixiang Zhao

The goal of this paper is the development of a novel approach for the problem of Noise Removal, based on the theory of Reproducing Kernels Hilbert Spaces (RKHS). The problem is cast as an optimization task in a RKHS, by taking advantage of…

Computer Vision and Pattern Recognition · Computer Science 2010-11-30 Pantelis Bouboulis , Sergios Theodoridis

Principal component analysis (PCA) is arguably the most widely used dimension-reduction method for vector-type data. When applied to a sample of images, PCA requires vectorization of the image data, which in turn entails solving an…

Image and Video Processing · Electrical Eng. & Systems 2021-03-02 Szu-Chi Chung , Shao-Hsuan Wang , Po-Yao Niu , Su-Yun Huang , Wei-Hau Chang , I-Ping Tu

Recently, convolutional neural network (CNN)-based methods are proposed for hyperspectral images (HSIs) denoising. Among them, unsupervised methods such as the deep image prior (DIP) have received much attention because these methods do not…

Computer Vision and Pattern Recognition · Computer Science 2021-06-11 Yi-Si Luo , Xi-Le Zhao , Tai-Xiang Jiang , Yu-Bang Zheng , Yi Chang

Higher-order tensors are well-suited for representing multi-dimensional data, such as images and videos, which typically characterize low-rank structures. Low-rank tensor decomposition has become essential in machine learning and computer…

Computer Vision and Pattern Recognition · Computer Science 2025-10-08 Zhengyun Cheng , Ruizhe Zhang , Guanwen Zhang , Yi Xu , Xiangyang Ji , Wei Zhou

Data processing constitutes a critical component of high-contrast exoplanet imaging. Its role is almost as important as the choice of a coronagraph or a wavefront control system, and it is intertwined with the chosen observing strategy.…

Instrumentation and Methods for Astrophysics · Physics 2016-04-20 C. A. Gomez Gonzalez , O. Absil , P. -A. Absil , M. Van Droogenbroeck , D. Mawet , J. Surdej

We solve the image denoising problem with a dictionary learning technique by writing a convex functional of a new form. This functional contains beside the usual sparsity inducing term and fidelity term, a new term which induces similarity…

Numerical Analysis · Mathematics 2015-06-02 Alessandro Mirone , Emmanuel Brun , Paola Coan

Snapshot compressive imaging (SCI) refers to compressive imaging systems where multiple frames are mapped into a single measurement, with video compressive imaging and hyperspectral compressive imaging as two representative applications.…

Computer Vision and Pattern Recognition · Computer Science 2018-10-09 Yang Liu , Xin Yuan , Jinli Suo , David J. Brady , Qionghai Dai

This paper investigates recovery of an undamped spectrally sparse signal and its spectral components from a set of regularly spaced samples within the framework of spectral compressed sensing and super-resolution. We show that the existing…

Information Theory · Computer Science 2021-01-19 Zai Yang , Xunmeng Wu

In this paper, we propose a novel classification scheme for the remotely sensed hyperspectral image (HSI), namely SP-DLRR, by comprehensively exploring its unique characteristics, including the local spatial information and low-rankness.…

Computer Vision and Pattern Recognition · Computer Science 2021-11-10 Shujun Yang , Junhui Hou , Yuheng Jia , Shaohui Mei , Qian Du

In practice, images can contain different amounts of noise for different color channels, which is not acknowledged by existing super-resolution approaches. In this paper, we propose to super-resolve noisy color images by considering the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Srimanta Mandal , Kuldeep Purohit , A. N. Rajagopalan

Measurements acquired from distributed physical systems are often sparse and noisy. Therefore, signal processing and system identification tools are required to mitigate noise effects and reconstruct unobserved dynamics from limited sensor…

Machine Learning · Computer Science 2025-09-08 Omid Sedehi , Manish Yadav , Merten Stender , Sebastian Oberst

Euler's Elastica based unsupervised segmentation models have strong capability of completing the missing boundaries for existing objects in a clean image, but they are not working well for noisy images. This paper aims to establish a…

Computer Vision and Pattern Recognition · Computer Science 2019-02-21 Lu Tan , Ling Li , Wanquan Liu , Jie Sun , Min Zhang

Denoising extreme low light images is a challenging task due to the high noise level. When the illumination is low, digital cameras increase the ISO (electronic gain) to amplify the brightness of captured data. However, this in turn…

Image and Video Processing · Electrical Eng. & Systems 2019-09-13 Hao Guan , Liu Liu , Sean Moran , Fenglong Song , Gregory Slabaugh

Hyperspectral unmixing (HU) plays a fundamental role in a wide range of hyperspectral applications. It is still challenging due to the common presence of outlier channels and the large solution space. To address the above two issues, we…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Feiyun Zhu , Ying Wang , Bin Fan , Gaofeng Meng , Chunhong Pan

This paper considers a large class of problems where we seek to recover a low rank matrix and/or sparse vector from some set of measurements. While methods based on convex relaxations suffer from a (possibly large) estimator bias, and other…

Machine Learning · Statistics 2021-09-28 April Sagan , John E. Mitchell

To overcome inherent hardware limitations of hyperspectral imaging systems with respect to their spatial resolution, fusion-based hyperspectral image (HSI) super-resolution is attracting increasing attention. This technique aims to fuse a…

Image and Video Processing · Electrical Eng. & Systems 2022-01-25 Xiuheng Wang , Jie Chen , Cédric Richard

In this article, we derive a Bayesian model to learning the sparse and low rank PARAFAC decomposition for the observed tensor with missing values via the elastic net, with property to find the true rank and sparse factor matrix which is…

Numerical Analysis · Mathematics 2017-05-30 Songting Shi , Xiang Li , Arkadiusz Sitek , Quanzheng Li