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Scene Background Initialization (SBI) is one of the challenging problems in computer vision. Dynamic mode decomposition (DMD) is a recently proposed method to robustly decompose a video sequence into the background model and the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Juan Han , Kit Ian Kou , Jifei Miao

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

We introduce the method of compressed dynamic mode decomposition (cDMD) for background modeling. The dynamic mode decomposition (DMD) is a regression technique that integrates two of the leading data analysis methods in use today: Fourier…

Computer Vision and Pattern Recognition · Computer Science 2016-12-13 N. Benjamin Erichson , Steven L. Brunton , J. Nathan Kutz

This paper introduces a fast algorithm for randomized computation of a low-rank Dynamic Mode Decomposition (DMD) of a matrix. Here we consider this matrix to represent the development of a spatial grid through time e.g. data from a static…

Computer Vision and Pattern Recognition · Computer Science 2016-04-12 N. Benjamin Erichson , Carl Donovan

We demonstrate that the integration of the recently developed dynamic mode decomposition (DMD) with a multi-resolution analysis allows for a decomposition method capable of robustly separating complex systems into a hierarchy of…

Dynamical Systems · Mathematics 2015-06-02 J. Nathan Kutz , Xing Fu , Steven L. Brunton

Dynamic Mode Decomposition (DMD) is a data-driven decomposition technique extracting spatio-temporal patterns of time-dependent phenomena. In this paper, we perform a comprehensive theoretical analysis of various variants of DMD. We provide…

Numerical Analysis · Mathematics 2022-02-15 Tim Krake , Daniel Weiskopf , Bernhard Eberhardt

Dynamic Mode Decomposition (DMD) is a numerical method that seeks to fit timeseries data to a linear dynamical system. In doing so, DMD decomposes dynamic data into spatially coherent modes that evolve in time according to exponential…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 Marco Mignacca , Simone Brugiapaglia , Jason J. Bramburger

Background subtraction is a significant task in computer vision and an essential step for many real world applications. One of the challenges for background subtraction methods is dynamic background, which constitute stochastic movements in…

Image and Video Processing · Electrical Eng. & Systems 2022-02-14 Fateme Bahri , Nilanjan Ray

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

We propose a new technique for obtaining reduced order models for nonlinear dynamical systems. Specifically, we advocate the use of the recently developed Dynamic Mode Decomposition (DMD), an equation-free method, to approximate the…

Numerical Analysis · Mathematics 2016-02-17 Alessandro Alla , J. Nathan Kutz

In video analysis, background models have many applications such as background/foreground separation, change detection, anomaly detection, tracking, and more. However, while learning such a model in a video captured by a static camera is a…

Computer Vision and Pattern Recognition · Computer Science 2022-09-19 Guy Erez , Ron Shapira Weber , Oren Freifeld

Scene background initialization allows the recovery of a clear image without foreground objects from a video sequence, which is generally the first step in many computer vision and video processing applications. The process may be strongly…

Computer Vision and Pattern Recognition · Computer Science 2018-05-18 Zhe Xu , Biao Min , Ray C. C. Cheung

Background modeling techniques are used for moving object detection in video. Many algorithms exist in the field of object detection with different purposes. In this paper, we propose an improvement of moving object detection based on…

Computer Vision and Pattern Recognition · Computer Science 2014-10-24 Mikaël A. Mousse , Eugène C. Ezin , Cina Motamed

Identifying moving objects in a video sequence, which is produced by a static camera, is a fundamental and critical task in many computer-vision applications. A common approach performs background subtraction, which identifies moving…

Computer Vision and Pattern Recognition · Computer Science 2013-05-02 Dina Dushnik , Alon Schclar , Amir Averbuch

The Dynamic Mode Decomposition (DMD)---a popular method for performing data-driven Koopman spectral analysis---has gained increased adoption as a technique for extracting dynamically meaningful spatio-temporal descriptions of fluid flows…

Fluid Dynamics · Physics 2017-07-13 Maziar S. Hemati , Clarence W. Rowley , Eric A. Deem , Louis N. Cattafesta

Dynamic Mode Decomposition (DMD) is a data-driven modeling tool that generates a model from spatio-temporal data. The data needs to be as clean as possible for DMD to come up with a faithful model. We review a few data-filtering methods to…

Optimization and Control · Mathematics 2021-03-04 Moajjem H. Chowdhury , Nazmul Islam Shuzan , Mohammad N. Murshed , Sanwar Alam , M. Monir Uddin , Zarin Subah

Recent data-driven image colorization methods have enabled automatic or reference-based colorization, while still suffering from unsatisfactory and inaccurate object-level color control. To address these issues, we propose a new method…

Computer Vision and Pattern Recognition · Computer Science 2023-08-04 Jianxin Lin , Peng Xiao , Yijun Wang , Rongju Zhang , Xiangxiang Zeng

We present a novel deep learning framework that models the scene dependent image processing inside cameras. Often called as the radiometric calibration, the process of recovering RAW images from processed images (JPEG format in the sRGB…

Computer Vision and Pattern Recognition · Computer Science 2017-07-27 Seonghyeon Nam , Seon Joo Kim

In many advanced video based applications background modeling is a pre-processing step to eliminate redundant data, for instance in tracking or video surveillance applications. Over the past years background subtraction is usually based on…

Computer Vision and Pattern Recognition · Computer Science 2018-07-18 Maryam Sultana , Arif Mahmood , Sajid Javed , Soon Ki Jung

Tracking moving objects from a video sequence requires segmentation of these objects from the background image. However, getting the actual background image automatically without object detection and using only the video is difficult. In…

Computer Vision and Pattern Recognition · Computer Science 2015-10-06 Kardi Teknomo , Proceso Fernandez
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