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Fluorescence microscopy (FM) imaging is a fundamental technique for observing live cell division, one of the most essential processes in the cycle of life and death. Observing 3D live cells requires scanning through the cell volume while…

Image and Video Processing · Electrical Eng. & Systems 2026-01-28 Chenwei Wang , Zhaoke Huang , Zelin Li , Wenqi Zhu

With the explosive growth of web-based cameras and mobile devices, billions of photographs are uploaded to the internet. We can trivially collect a huge number of photo streams for various goals, such as image clustering, 3D scene…

Computer Vision and Pattern Recognition · Computer Science 2014-09-16 Ju Shen , Jianjun Yang , Sami Taha-abusneineh , Bryson Payne , Markus Hitz

In this paper we propose novel methods for compression and recovery of multilinear data under limited sampling. We exploit the recently proposed tensor- Singular Value Decomposition (t-SVD)[1], which is a group theoretic framework for…

Information Theory · Computer Science 2013-11-01 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

The objective of this study is to address the problem of background/foreground separation with missing pixels by combining the video acquisition, video recovery, background/foreground separation into a single framework. To achieve this, a…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Bo Shen , Weijun Xie , Zhenyu Kong

Tensor completion recovers a multi-dimensional array from a limited number of measurements. Using the recently proposed tensor ring (TR) decomposition, in this paper we show that a d-order tensor of dimensional size n and TR rank r can be…

Machine Learning · Computer Science 2020-03-17 Huyan Huang , Yipeng Liu , Ce Zhu

We consider the recovery of a continuous domain piecewise constant image from its non-uniform Fourier samples using a convex matrix completion algorithm. We assume the discontinuities/edges of the image are localized to the zero levelset of…

Information Theory · Computer Science 2018-02-14 Greg Ongie , Sampurna Biswas , Mathews Jacob

This paper addresses the challenge of spectral-spatial feature extraction for hyperspectral image classification by introducing a novel tensor-based framework. The proposed approach incorporates circular convolution into a tensor structure…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Yuemei Ren , Liang Liao , Stephen John Maybank , Yanning Zhang , Xin Liu

Given a degraded input image, image restoration aims to recover the missing high-quality image content. Numerous applications demand effective image restoration, e.g., computational photography, surveillance, autonomous vehicles, and remote…

Image and Video Processing · Electrical Eng. & Systems 2022-05-04 Syed Waqas Zamir , Aditya Arora , Salman Khan , Munawar Hayat , Fahad Shahbaz Khan , Ming-Hsuan Yang , Ling Shao

Recently, low-rank tensor completion has become increasingly attractive in recovering incomplete visual data. Considering a color image or video as a three-dimensional (3D) tensor, existing studies have put forward several definitions of…

Computer Vision and Pattern Recognition · Computer Science 2019-01-09 Shengke Xue , Wenyuan Qiu , Fan Liu , Xinyu Jin

We present a novel method for matrix completion, specifically designed for matrices where one dimension is significantly larger than the other. Our Columns Selected Matrix Completion (CSMC) method combines Column Subset Selection with…

Machine Learning · Computer Science 2026-04-14 Antonina Krajewska , Ewa Niewiadomska-Szynkiewicz

Convolutional Neural Networks (CNNs) serve as the workhorse of deep learning, finding applications in various fields that rely on images. Given sufficient data, they exhibit the capacity to learn a wide range of concepts across diverse…

Computer Vision and Pattern Recognition · Computer Science 2025-02-27 Saorj Kumar , Prince Asiamah , Oluwatoyin Jolaoso , Ugochukwu Esiowu

Image restoration (IR) aims to recover clean images from degraded observations. Despite remarkable progress, most existing methods focus on a single degradation type, whereas real-world images often suffer from multiple coexisting…

Computer Vision and Pattern Recognition · Computer Science 2025-11-10 Hu Gao , Xiaoning Lei , Ying Zhang , Xichen Xu , Guannan Jiang , Lizhuang Ma

The use of quaternions as a novel tool for color image representation has yielded impressive results in color image processing. By considering the color image as a unified entity rather than separate color space components, quaternions can…

Image and Video Processing · Electrical Eng. & Systems 2023-05-02 Jifei Miao , Kit Ian Kou , Liqiao Yang , Juan Han

Image inpainting has made significant advances in recent years. However, it is still challenging to recover corrupted images with both vivid textures and reasonable structures. Some specific methods only tackle regular textures while losing…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Qiaole Dong , Chenjie Cao , Yanwei Fu

Image alignment and image restoration are classical computer vision tasks. However, there is still a lack of datasets that provide enough data to train and evaluate end-to-end deep learning models. Obtaining ground-truth data for image…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Monika Kwiatkowski , Simon Matern , Olaf Hellwich

Recovering a large matrix from limited measurements is a challenging task arising in many real applications, such as image inpainting, compressive sensing and medical imaging, and this kind of problems are mostly formulated as low-rank…

Computer Vision and Pattern Recognition · Computer Science 2014-06-12 Yilun Wang , Xinhua Su

Feature preserving image interpolation is an active area in image processing field. In this paper a new direct edge directed image super-resolution algorithm based on structure tensors is proposed. Using an isotropic Gaussian filter, the…

Computer Vision and Pattern Recognition · Computer Science 2014-12-30 Ahmadreza Baghaie , Zeyun Yu

In low-light image enhancement, Retinex-based deep learning methods have garnered significant attention due to their exceptional interpretability. These methods decompose images into mutually independent illumination and reflectance…

Computer Vision and Pattern Recognition · Computer Science 2025-08-13 Luyang Cao , Han Xu , Jian Zhang , Lei Qi , Jiayi Ma , Yinghuan Shi , Yang Gao

We aim to provably complete a sparse and highly-missing tensor in the presence of covariate information along tensor modes. Our motivation comes from online advertising where users click-through-rates (CTR) on ads over various devices form…

Machine Learning · Statistics 2022-04-08 Hilda S Ibriga , Will Wei Sun

Due to the explosive growth of large-scale data sets, tensors have been a vital tool to analyze and process high-dimensional data. Different from the matrix case, tensor decomposition has been defined in various formats, which can be…

Optimization and Control · Mathematics 2023-12-27 Rachel Grotheer , Shuang Li , Anna Ma , Deanna Needell , Jing Qin
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