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This paper explores the problem of hyperspectral image (HSI) super-resolution that merges a low resolution HSI (LR-HSI) and a high resolution multispectral image (HR-MSI). The cross-modality distribution of the spatial and spectral…

Image and Video Processing · Electrical Eng. & Systems 2021-02-03 Zhiyu Zhu , Junhui Hou , Jie Chen , Huanqiang Zeng , Jiantao Zhou

Inverse medium problems involve the reconstruction of a spatially varying unknown medium from available observations by exploring a restricted search space of possible solutions. Standard grid-based representations are very general but all…

Numerical Analysis · Mathematics 2020-06-18 Daniel H. Baffet , Marcus J. Grote , Jet Hoe Tang

Although equirectangular projection (ERP) is a convenient form to store omnidirectional images (also known as 360-degree images), it is neither equal-area nor conformal, thus not friendly to subsequent visual communication. In the context…

Image and Video Processing · Electrical Eng. & Systems 2021-12-28 Mu Li , Kede Ma , Jinxing Li , David Zhang

Compressive spectral imaging (CSI) has emerged as an alternative spectral image acquisition technology, which reduces the number of measurements at the cost of requiring a recovery process. In general, the reconstruction methods are based…

Image and Video Processing · Electrical Eng. & Systems 2021-05-19 Jorge Bacca , Yesid Fonseca , Henry Arguello

Direct inversion of incomplete visibility samples in VLBI (Very Large Baseline Interferometry) radio telescopes produces images with convolutive artifacts. Since proper analysis and interpretations of astronomical radio sources require a…

Instrumentation and Methods for Astrophysics · Physics 2009-04-06 Andriyan Bayu Suksmono

Balancing spectral, spatial, and temporal resolutions is a key challenge in spectral imaging. The Dual-Camera Coded Aperture Snapshot Spectral Imaging (DC-CASSI) system alleviates this trade-off but suffers from severely ill-posed…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Weiqiang Zhao , Tianzhu Liu , Yuzhe Gui , Wei Bian , Yanfeng Gu

In this paper, we propose a novel nonconvex approach to robust principal component analysis for HSI denoising, which focuses on simultaneously developing more accurate approximations to both rank and column-wise sparsity for the low-rank…

Image and Video Processing · Electrical Eng. & Systems 2022-12-07 Chong Peng , Yang Liu , Yongyong Chen , Xinxin Wu , Andrew Cheng , Zhao Kang , Chenglizhao Chen , Qiang Cheng

Phase retrieval is the inverse problem of recovering a signal from magnitude-only Fourier measurements, and underlies numerous imaging modalities, such as Coherent Diffraction Imaging (CDI). A variant of this setup, known as holography,…

Machine Learning · Computer Science 2021-04-22 Hannah Lawrence , David A. Barmherzig , Henry Li , Michael Eickenberg , Marylou Gabrié

Recently, impressive denoising results have been achieved by Bayesian approaches which assume Gaussian models for the image patches. This improvement in performance can be attributed to the use of per-patch models. Unfortunately such an…

Computer Vision and Pattern Recognition · Computer Science 2017-12-08 Cecilia Aguerrebere , Andrés Almansa , Julie Delon , Yann Gousseau , Pablo Musé

The CANDECOMP/PARAFAC (CP) tensor decomposition is a popular dimensionality-reduction method for multiway data. Dimensionality reduction is often sought after since many high-dimensional tensors have low intrinsic rank relative to the…

Numerical Analysis · Computer Science 2020-03-16 N. Benjamin Erichson , Krithika Manohar , Steven L. Brunton , J. Nathan Kutz

Hyperspectral images (HSIs) often suffer from diverse and unknown degradations during imaging, leading to severe spectral and spatial distortions. Existing HSI restoration methods typically rely on specific degradation assumptions, limiting…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Zhehui Wu , Yong Chen , Naoto Yokoya , Wei He

Recently, tensor singular value decomposition (t-SVD) has emerged as a promising tool for hyperspectral image (HSI) processing. In the t-SVD, there are two key building blocks: (i) the low-rank enhanced transform and (ii) the accompanying…

Computer Vision and Pattern Recognition · Computer Science 2023-08-09 Jiayi Li , Jinyu Xie , Yisi Luo , Xile Zhao , Jianli Wang

The classical vector autoregressive model is a fundamental tool for multivariate time series analysis. However, it involves too many parameters when the number of time series and lag order are even moderately large. This paper proposes to…

Methodology · Statistics 2020-11-04 Di Wang , Yao Zheng , Heng Lian , Guodong Li

Image denoising is a typical ill-posed problem due to complex degradation. Leading methods based on normalizing flows have tried to solve this problem with an invertible transformation instead of a deterministic mapping. However, the…

Computer Vision and Pattern Recognition · Computer Science 2023-02-01 Wenchao Du , Hu Chen , Yi Zhang , H. Yang

Hyperspectral imaging provides precise classification for land use and cover due to its exceptional spectral resolution. However, the challenges of high dimensionality and limited spatial resolution hinder its effectiveness. This study…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Shivam Pande

Hyperspectral image (HSI) super-resolution without additional auxiliary image remains a constant challenge due to its high-dimensional spectral patterns, where learning an effective spatial and spectral representation is a fundamental…

Image and Video Processing · Electrical Eng. & Systems 2021-12-21 Kaiwei Zhang

Although much research has been devoted to the problem of restoring Poissonian images, namely in the fields of medical and astronomical imaging, applying the state of the art regularizers (such as those based on wavelets or total variation)…

Optimization and Control · Mathematics 2009-05-01 Mario A. T. Figueiredo , Jose M. Bioucas-Dias

Dimensionality reduction is an important step in processing the hyperspectral images (HSI) to overcome the curse of dimensionality problem. Linear dimensionality reduction methods such as Independent component analysis (ICA) and Linear…

Machine Learning · Statistics 2021-07-15 Chippy Jayaprakash , Bharath Bhushan Damodaran , Sowmya V , K P Soman

Hyperspectral images (HSIs) are often degraded by complex mixed noise during acquisition and transmission, making effective denoising essential for subsequent analysis. Recent hybrid approaches that bridge model-driven and data-driven…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Liang Li , Jianli Zhao , Sheng Fang , Siyu Chen , Hui Sun

Recently, hyperspectral imaging (HSI) has attracted increasing research attention, especially for the ones based on a coded aperture snapshot spectral imaging (CASSI) system. Existing deep HSI reconstruction models are generally trained on…

Image and Video Processing · Electrical Eng. & Systems 2022-09-27 Jiamian Wang , Yulun Zhang , Xin Yuan , Ziyi Meng , Zhiqiang Tao