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The traditional method of computing singular value decomposition (SVD) of a data matrix is based on a least squares principle, thus, is very sensitive to the presence of outliers. Hence the resulting inferences across different applications…

Statistics Theory · Mathematics 2024-09-17 Subhrajyoty Roy , Abhik Ghosh , Ayanendranath Basu

The research reported in this paper addresses the fundamental task of separation of locally moving or deforming image areas from a static or globally moving background. It builds on the latest developments in the field of robust principal…

Computer Vision and Pattern Recognition · Computer Science 2016-03-21 Salehe Erfanian Ebadi , Valia Guerra Ones , Ebroul Izquierdo

This work presents a novel approach for robust PCA with total variation regularization for foreground-background separation and denoising on noisy, moving camera video. Our proposed algorithm registers the raw (possibly corrupted) frames of…

Machine Learning · Statistics 2017-09-28 Chen Gao , Brian E. Moore , Raj Rao Nadakuditi

This work presents a new robust PCA method for foreground-background separation on freely moving camera video with possible dense and sparse corruptions. Our proposed method registers the frames of the corrupted video and then encodes the…

Machine Learning · Statistics 2019-01-07 Brian E. Moore , Chen Gao , Raj Rao Nadakuditi

This paper introduces the method of dynamic mode decomposition (DMD) for robustly separating video frames into background (low-rank) and foreground (sparse) components in real-time. The method is a novel application of a technique used for…

Computer Vision and Pattern Recognition · Computer Science 2014-05-01 Jacob Grosek , J. Nathan Kutz

The problem of recovering a low-rank matrix from a set of observations corrupted with gross sparse error is known as the robust principal component analysis (RPCA) and has many applications in computer vision, image processing and web data…

Optimization and Control · Mathematics 2013-09-27 Necdet Serhat Aybat , Donald Goldfarb , Shiqian Ma

Video background subtraction is one of the fundamental problems in computer vision that aims to segment all moving objects. Robust principal component analysis has been identified as a promising unsupervised paradigm for background…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Basit Alawode , Sajid Javed

Recovering a low-rank matrix from highly corrupted measurements arises in compressed sensing of structured high-dimensional signals (e.g., videos and hyperspectral images among others). Robust principal component analysis (RPCA), solved via…

Optimization and Control · Mathematics 2022-06-28 Vahan Hovhannisyan , Yannis Panagakis , Panos Parpas , Stefanos Zafeiriou

Foreground detection in a given video sequence is a pivotal step in many computer vision applications such as video surveillance system. Robust Principal Component Analysis (RPCA) performs low-rank and sparse decomposition and accomplishes…

Computer Vision and Pattern Recognition · Computer Science 2019-09-19 Amirhossein Khalilian-Gourtani , Shervin Minaee , Yao Wang

An important task when processing sensor data is to distinguish relevant from irrelevant data. This paper describes a method for an iterative singular value decomposition that maintains a model of the background via singular vectors…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Günther Reitberger , Tomas Sauer

Background modelling is a fundamental step for several real-time computer vision applications that requires security systems and monitoring. An accurate background model helps detecting activity of moving objects in the video. In this work,…

Computer Vision and Pattern Recognition · Computer Science 2018-10-22 Şahin Işık , Kemal Özkan , Ömer Nezih Gerek

Principal component pursuit (PCP) is a state-of-the-art approach for background estimation problems. Due to their higher computational cost, PCP algorithms, such as robust principal component analysis (RPCA) and its variants, are not…

Computer Vision and Pattern Recognition · Computer Science 2017-07-04 Aritra Dutta , Xin Li , Peter Richtárik

The data storage has been one of the bottlenecks in surveillance systems. The conventional video compression algorithms such as H.264 and H.265 do not fully utilize the low information density characteristic of the surveillance video. In…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Lirong Wu , Kejie Huang , Haibin Shen , Lianli Gao

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

This paper proposes a novel approach to create an automated visual surveillance system which is very efficient in detecting and tracking moving objects in a video captured by moving camera without any apriori information about the captured…

Computer Vision and Pattern Recognition · Computer Science 2017-06-09 Kumar S. Ray , Soma Chakraborty

To obtain effective pedestrian detection results in surveillance video, there have been many methods proposed to handle the problems from severe occlusion, pose variation, clutter background, \emph{etc}. Besides detection accuracy, a robust…

Computer Vision and Pattern Recognition · Computer Science 2018-07-18 Yuming Fang , Guanqun Ding , Yuan Yuan , Weisi Lin , Haiwen Liu

The ability to identify the static background in videos captured by a moving camera is an important pre-requisite for many video applications (e.g. video stabilization, stitching, and segmentation). Existing methods usually face…

Computer Vision and Pattern Recognition · Computer Science 2019-03-07 Kaimo Lin , Nianjuan Jiang , Loong Fah Cheong , Jiangbo Lu , Xun Xu

Vision Transformers (ViT) have been established as large-scale foundation models. However, because self-attention operates globally, they lack an explicit mechanism to distinguish foreground from background. As a result, ViT may learn…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Haruhiko Murata , Kazuhiro Hotta

This paper presents a novel unsupervised probabilistic model estimation of visual background in video sequences using a variational autoencoder framework. Due to the redundant nature of the backgrounds in surveillance videos, visual…

Computer Vision and Pattern Recognition · Computer Science 2019-02-05 Amirreza Farnoosh , Behnaz Rezaei , Sarah Ostadabbas

Deep unfolded neural networks are designed by unrolling the iterations of optimization algorithms. They can be shown to achieve faster convergence and higher accuracy than their optimization counterparts. This paper proposes a new…

Machine Learning · Computer Science 2020-10-05 Huynh Van Luong , Boris Joukovsky , Yonina C. Eldar , Nikos Deligiannis
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