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Tensor-based methods are receiving a growing interest in scientific computing for the numerical solution of problems defined in high dimensional tensor product spaces. A family of methods called Proper Generalized Decompositions methods…

Numerical Analysis · Mathematics 2011-12-02 Antonio Falco , Anthony Nouy

Hyperspectral imaging is a cutting-edge type of remote sensing used for mapping vegetation properties, rock minerals and other materials. A major drawback of hyperspectral imaging devices is their intrinsic low spatial resolution. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Leon Bungert , David A. Coomes , Matthias J. Ehrhardt , Jennifer Rasch , Rafael Reisenhofer , Carola-Bibiane Schönlieb

Single-image super-resolution is a fundamental task for vision applications to enhance the image quality with respect to spatial resolution. If the input image contains degraded pixels, the artifacts caused by the degradation could be…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Xinyi Zhang , Hang Dong , Zhe Hu , Wei-Sheng Lai , Fei Wang , Ming-Hsuan Yang

This work revisits the hyperspectral super-resolution (HSR) problem, i.e., fusing a pair of spatially co-registered hyperspectral (HSI) and multispectral (MSI) images to recover a super-resolution image (SRI) that enhances the spatial…

Image and Video Processing · Electrical Eng. & Systems 2025-12-23 Meng Ding , Xiao Fu

Hyperspectral (HS) images contain detailed spectral information that has proven crucial in applications like remote sensing, surveillance, and astronomy. However, because of hardware limitations of HS cameras, the captured images have low…

Image and Video Processing · Electrical Eng. & Systems 2021-06-15 Marija Vella , Bowen Zhang , Wei Chen , João F. C. Mota

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,…

Image and Video Processing · Electrical Eng. & Systems 2020-07-03 Zhen Long , Yipeng Liu , Sixing Zeng , Jiani Liu , Fei Wen , Ce Zhu

Resolution enhancements are often desired in imaging applications where high-resolution sensor arrays are difficult to obtain. Many computational imaging methods have been proposed to encode high-resolution scene information on…

Image and Video Processing · Electrical Eng. & Systems 2018-10-29 Kevin Beale , Jianbo Chen , Kevin F. Kelly , Justin Romberg

Implicit neural representations (INRs) have significantly advanced the field of arbitrary-scale super-resolution (ASSR) of images. Most existing INR-based ASSR networks first extract features from the given low-resolution image using an…

Computer Vision and Pattern Recognition · Computer Science 2024-07-26 Jintong Hu , Bin Xia , Bin Chen , Wenming Yang , Lei Zhang

The tensor decomposition addressed in this paper may be seen as a generalisation of Singular Value Decomposition of matrices. We consider general multilinear and multihomogeneous tensors. We show how to reduce the problem to a truncated…

Algebraic Geometry · Mathematics 2012-10-17 Alessandra Bernardi , Jerome Brachat , Pierre Comon , Bernard Mourrain

In some super-resolution techniques, adjacent points are illuminated at different times. Thereby, their locations and light intensities can be detected even if the images are very blurred due to diffraction. According to conventional…

Image and Video Processing · Electrical Eng. & Systems 2019-12-10 Edward Y. Sheffield

In this paper we aim to tackle the problem of reconstructing a high-resolution image from a single low-resolution input image, known as single image super-resolution. In the literature, sparse representation has been used to address this…

Computer Vision and Pattern Recognition · Computer Science 2016-03-23 Mohammad Rostami , Zhou Wang

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

Tensor decomposition has proven to be a strong tool in various 3D image processing tasks such as denoising and super-resolution. In this context, we recently proposed a canonical polyadic decomposition (CPD) based algorithm for single image…

Image and Video Processing · Electrical Eng. & Systems 2020-09-21 J. Hatvani , A. Basarab , J. Michetti , M. Gyöngy , D. Kouamé

A new statistical model designed for regression analysis with a sparse design matrix is proposed. This new model utilizes the positions of the limited non-zero elements in the design matrix to decompose the regression model into…

Applications · Statistics 2022-01-17 Hsien-Wei Chen

Hyperspectral images enable precise identification of ground objects by capturing their spectral signatures with fine spectral resolution.While high spatial resolution further enhances this capability, increasing spatial resolution through…

Image and Video Processing · Electrical Eng. & Systems 2024-10-25 Ankur Garg , Meenakshi Sarkar , S. Manthira Moorthi , Debajyoti Dhar

Modeling with multidimensional arrays, or tensors, often presents a problem due to high dimensionality. In addition, these structures typically exhibit inherent sparsity, requiring the use of regularization methods to properly characterize…

Methodology · Statistics 2022-10-10 Daniel Spencer , Rajarshi Guhaniyogi , Russell Shinohara , Raquel Prado

This paper addresses the problem of single image super-resolution (SR), which consists of recovering a high resolution image from its blurred, decimated and noisy version. The existing algorithms for single image SR use different strategies…

Computer Vision and Pattern Recognition · Computer Science 2016-05-03 Ningning Zhao , Qi Wei , Adrian Basarab , Nicolas Dobigeon , Denis Kouame , Jean-Yves Tourneret

Tensor decomposition is an effective tool for learning multi-way structures and heterogeneous features from high-dimensional data, such as the multi-view images and multichannel electroencephalography (EEG) signals, are often represented by…

Machine Learning · Computer Science 2022-06-29 Wanguang Yin , Youzhi Qu , Zhengming Ma , Quanying Liu

This paper proposes fast randomized algorithms for computing the Kronecker Tensor Decomposition (KTD). The proposed algorithms can decompose a given tensor into the KTD format much faster than the existing state-of-the-art algorithms. Our…

Numerical Analysis · Mathematics 2025-05-22 Salman Ahmadi-Asl , Naeim Rezaeian , Andre L. F. de Almeida , Yipeng Liu

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