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Recent years have witnessed the remarkable performance of diffusion models in various vision tasks. However, for image restoration that aims to recover clear images with sharper details from given degraded observations, diffusion-based…

Computer Vision and Pattern Recognition · Computer Science 2023-10-10 Liyan Wang , Qinyu Yang , Cong Wang , Wei Wang , Jinshan Pan , Zhixun Su

Low rank tensor ring model is powerful for image completion which recovers missing entries in data acquisition and transformation. The recently proposed tensor ring (TR) based completion algorithms generally solve the low rank optimization…

Machine Learning · Statistics 2021-04-07 Zhen Long , Ce Zhu , Jiani Liu , Yipeng Liu

This paper proposes a novel framework called concatenated image completion via tensor augmentation and completion (ICTAC), which recovers missing entries of color images with high accuracy. Typical images are second- or third-order tensors…

Machine Learning · Computer Science 2016-07-15 Johann A. Bengua , Hoang D. Tuan , Ho N. Phien , Minh N. Do

A novel low-rank completion algorithm based on the quaternion tensor is proposed in this paper. This approach uses the TQt-rank of quaternion tensor to maintain the structure of RGB channels throughout the entire process. In more detail,…

Image and Video Processing · Electrical Eng. & Systems 2022-12-19 Liqiao Yang , Kit Ian Kou , Jifei Miao , Yang Liu , Maggie Pui Man Hoi

This paper studies a recovery task of finding a low multilinear-rank tensor that fulfills some linear constraints in the general settings, which has many applications in computer vision and graphics. This problem is named as the low…

Optimization and Control · Mathematics 2013-10-08 Lei Yang , Zheng-Hai Huang , Yufan Li

We introduce an adaptive structured low rank algorithm to recover MR images from their undersampled Fourier coefficients. The image is modeled as a combination of a piecewise constant component and a piecewise linear component. The Fourier…

Image and Video Processing · Electrical Eng. & Systems 2018-05-15 Yue Hu , Xiaohan Liu , Mathews Jacob

Low-rank quaternion tensor completion method, a novel approach to recovery color videos and images is proposed in this paper. We respectively reconstruct a color image and a color video as a quaternion matrix (second-order tensor) and a…

Numerical Analysis · Mathematics 2020-01-30 Jifei Miao , Kit Ian Kou , Wankai Liu

Low-rank signal modeling has been widely leveraged to capture non-local correlation in image processing applications. We propose a new method that employs low-rank tensor factor analysis for tensors generated by grouped image patches. The…

Computer Vision and Pattern Recognition · Computer Science 2018-03-20 Xinyuan Zhang , Xin Yuan , Lawrence Carin

This paper proposes a novel formulation of the tensor completion problem to impute missing entries of data represented by tensors. The formulation is introduced in terms of tensor train (TT) rank which can effectively capture global…

Numerical Analysis · Computer Science 2016-01-07 Ho N. Phien , Hoang D. Tuan , Johann A. Bengua , Minh N. Do

In this paper, we propose a novel model to recover a low-rank tensor by simultaneously performing double nuclear norm regularized low-rank matrix factorizations to the all-mode matricizations of the underlying tensor. An block successive…

Computer Vision and Pattern Recognition · Computer Science 2020-05-07 Haijin Zeng , Xiaozhen Xie , Jifeng Ning

In this paper, we show how to efficiently and effectively extract a class of "low-rank textures" in a 3D scene from 2D images despite significant corruptions and warping. The low-rank textures capture geometrically meaningful structures in…

Computer Vision and Pattern Recognition · Computer Science 2010-12-16 Zhengdong Zhang , Arvind Ganesh , Xiao Liang , Yi Ma

Recently, mapping a signal/image into a low rank Hankel/Toeplitz matrix has become an emerging alternative to the traditional sparse regularization, due to its ability to alleviate the basis mismatch between the true support in the…

Numerical Analysis · Mathematics 2020-12-15 Jian-Feng Cai , Jae Kyu Choi , Jingyang Li , Ke Wei

Image retrieval targets to find images from a database that are visually similar to the query image. Two-stage methods following retrieve-and-rerank paradigm have achieved excellent performance, but their separate local and global modules…

Computer Vision and Pattern Recognition · Computer Science 2023-08-09 Yunquan Zhu , Xinkai Gao , Bo Ke , Ruizhi Qiao , Xing Sun

The deployment of pixel-based antennas and fluid antenna systems (FAS) is hindered by prohibitive channel state information (CSI) acquisition overhead. While radio maps enable proactive mode selection, reconstructing high-fidelity maps from…

Signal Processing · Electrical Eng. & Systems 2026-02-06 Mu Jia , Hao Sun , Junting Chen , Pooi-Yuen Kam

We study the low-rank phase retrieval problem, where the objective is to recover a sequence of signals (typically images) given the magnitude of linear measurements of those signals. Existing solutions involve recovering a matrix…

Image and Video Processing · Electrical Eng. & Systems 2022-02-18 Soo Min Kwon , Xin Li , Anand D. Sarwate

Recently, the transformer model has been successfully employed for the multi-view 3D reconstruction problem. However, challenges remain on designing an attention mechanism to explore the multiview features and exploit their relations for…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Leslie Ching Ow Tiong , Dick Sigmund , Andrew Beng Jin Teoh

Tensor completion can estimate missing values of a high-order data from its partially observed entries. Recent works show that low rank tensor ring approximation is one of the most powerful tools to solve tensor completion problem. However,…

Numerical Analysis · Mathematics 2021-01-03 Abdul Ahad , Zhen Long , Ce Zhu , Yipeng Liu

The low-rank tensor completion (LRTC) problem aims to reconstruct a tensor from partial sample information, which has attracted significant interest in a wide range of practical applications such as image processing and computer vision.…

Computer Vision and Pattern Recognition · Computer Science 2025-06-09 Hongbing Zhang , Bing Zheng

Low-Rank Matrix Recovery (LRMR) has recently been applied to saliency detection by decomposing image features into a low-rank component associated with background and a sparse component associated with visual salient regions. Despite its…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Qi Zheng , Shujian Yu , Xinge You , Qinmu Peng

Photo-realistic scene reconstruction from sparse-view, uncalibrated images is highly required in practice. Although some successes have been made, existing methods are either Sparse-View but require accurate camera parameters (i.e.,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Xudong Cai , Yongcai Wang , Zhaoxin Fan , Deng Haoran , Shuo Wang , Wanting Li , Deying Li , Lun Luo , Minhang Wang , Jintao Xu