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Available super-resolution techniques for 3D images are either computationally inefficient prior-knowledge-based iterative techniques or deep learning methods which require a large database of known low- and high-resolution image pairs. A…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Janka Hatvani , Adrian Basarab , Jean-Yves Tourneret , Miklós Gyöngy , Denis Kouamé

This paper evaluates Tucker decomposition and Singular Value Decomposition (SVD) for compressing neuroimaging data. Tucker decomposition preserves multi-dimensional relationships, achieving superior reconstruction fidelity and perceptual…

Image and Video Processing · Electrical Eng. & Systems 2025-11-25 Jaeho Kim , Daniel David , Ana Vizitiv

This paper introduces a novel computationally efficient method of solving the 3D single image super-resolution (SR) problem, i.e., reconstruction of a high-resolution volume from its low-resolution counterpart. The main contribution lies in…

Image and Video Processing · Electrical Eng. & Systems 2020-10-30 Nwigbo Kenule Tuador , Duong Hung Pham , Jérôme Michetti , Adrian Basarab , Denis Kouamé

Convolutional Neural Networks (CNNs) have demonstrated great results for the single-image super-resolution (SISR) problem. Currently, most CNN algorithms promote deep and computationally expensive models to solve SISR. However, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2018-08-28 Vandit Jain , Prakhar Bansal , Abhinav Kumar Singh , Rajeev Srivastava

In this paper we propose novel methods for completion (from limited samples) and de-noising of multilinear (tensor) data and as an application consider 3-D and 4- D (color) video data completion and de-noising. We exploit the recently…

Computer Vision and Pattern Recognition · Computer Science 2014-10-31 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

Single Image Super-Resolution (SISR) aims to generate a high-resolution (HR) image of a given low-resolution (LR) image. The most of existing convolutional neural network (CNN) based SISR methods usually take an assumption that a LR image…

Image and Video Processing · Electrical Eng. & Systems 2019-09-10 Rao Muhammad Umer , Gian Luca Foresti , Christian Micheloni

Hyperspectral super-resolution (HSR) aims at fusing a hyperspectral image (HSI) and a multispectral image (MSI) to produce a super-resolution image (SRI). Recently, a coupled tensor factorization approach was proposed to handle this…

Signal Processing · Electrical Eng. & Systems 2019-10-24 Guoyong Zhang , Xiao Fu , Kejun Huang , Jun Wang

Tensor decompositions have rich applications in statistics and machine learning, and developing efficient, accurate algorithms for the problem has received much attention recently. Here, we present a new method built on Kruskal's uniqueness…

Machine Learning · Computer Science 2017-04-20 Miaoyan Wang , Yun S. Song

Noise is ubiquitous during image acquisition. Sufficient denoising is often an important first step for image processing. In recent decades, deep neural networks (DNNs) have been widely used for image denoising. Most DNN-based image…

Computer Vision and Pattern Recognition · Computer Science 2024-08-02 Chenyin Gao , Shu Yang , Anru R. Zhang

We propose a novel approach for hyperspectral super-resolution, that is based on low-rank tensor approximation for a coupled low-rank multilinear (Tucker) model. We show that the correct recovery holds for a wide range of multilinear ranks.…

Signal Processing · Electrical Eng. & Systems 2020-01-22 Clémence Prévost , Konstantin Usevich , Pierre Comon , David Brie

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

Canonical Polyadic Decomposition (CPD) represents a third-order tensor as the minimal sum of rank-1 terms. Because of its uniqueness properties the CPD has found many concrete applications in telecommunication, array processing, machine…

Spectral Theory · Mathematics 2019-12-06 Ignat Domanov , Lieven De Lathauwer

Single Image Super-Resolution (SISR) aims to recover a high-resolution image from a given low-resolution version of it. Video Super Resolution (VSR) targets series of given images, aiming to fuse them to create a higher resolution outcome.…

Image and Video Processing · Electrical Eng. & Systems 2019-10-02 Alon Brifman , Yaniv Romano , Michael Elad

Recently, coupled tensor decomposition has been widely used in data fusion of a hyperspectral image (HSI) and a multispectral image (MSI) for hyperspectral super-resolution (HSR). However, exsiting works often ignore the inherent…

Signal Processing · Electrical Eng. & Systems 2025-01-28 Xi-Yuan Liu , Xiao-Feng Gong , Lei Wang , Wei Feng , Qiu-Hua Lin

Canonical Polyadic (CP) tensor decomposition is a fundamental technique for analyzing high-dimensional tensor data. While the Alternating Least Squares (ALS) algorithm is widely used for computing CP decomposition due to its simplicity and…

Methodology · Statistics 2025-05-30 Runshi Tang , Julien Chhor , Olga Klopp , Anru R. Zhang

Canonical Polyadic Decomposition (CPD) of a third-order tensor is a minimal decomposition into a sum of rank-$1$ tensors. We find new mild deterministic conditions for the uniqueness of individual rank-$1$ tensors in CPD and present an…

Spectral Theory · Mathematics 2016-07-20 Ignat Domanov , Lieven De Lathauwer

In general, algorithms for order-3 CANDECOMP/-PARAFAC (CP), also coined canonical polyadic decomposition (CPD), are easily to implement and can be extended to higher order CPD. Unfortunately, the algorithms become computationally demanding,…

Numerical Analysis · Mathematics 2017-04-26 Anh Huy Phan , Petr Tichavsky , Andrzej Cichocki

Computed Tomography (CT) imaging technique is widely used in geological exploration, medical diagnosis and other fields. In practice, however, the resolution of CT image is usually limited by scanning devices and great expense. Super…

Computer Vision and Pattern Recognition · Computer Science 2020-01-29 Yukai Wang , Qizhi Teng , Xiaohai He , Junxi Feng , Tingrong Zhang

Hyperspectral image super-resolution addresses the problem of fusing a low-resolution hyperspectral image (LR-HSI) and a high-resolution multispectral image (HR-MSI) to produce a high-resolution hyperspectral image (HR-HSI). Tensor analysis…

Numerical Analysis · Mathematics 2022-12-07 Diyi Jin , Jianjun Liu , Jinlong Yang , Zebin Wu

Image-based anomaly detection systems are of vital importance in various manufacturing applications. The resolution and acquisition rate of such systems is increasing significantly in recent years under the fast development of image sensing…

Image and Video Processing · Electrical Eng. & Systems 2022-07-19 Shancong Mou , Jianjun Shi
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