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Quaternion-based dynamic mode decomposition for background modeling in color videos
Juan Han1; Kit Ian Kou2; Jifei Miao3
2022-09
Source PublicationComputer Vision and Image Understanding
ISSN1077-3142
Volume224
Abstract

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 corresponding foreground part. However, this method needs to convert the color image into a grayscale image for processing, which leads to the neglect of the coupling information between the three channels of the color image. In this study, we propose a quaternion-based DMD (Q-DMD), which extends the DMD by quaternion matrix analysis, so as to ultimately preserve the inherent color structure of the color image and the color video. We exploit the standard eigenvalues of the quaternion matrix to compute its spectral decomposition and calculate the corresponding Q-DMD modes and eigenvalues. The results on the publicly available benchmark datasets prove that our Q-DMD outperforms the exact DMD method, and experiment results also demonstrate that the performance of our approach is comparable to that of the state-of-the-art ones.

KeywordQuaternion Dynamic Mode Composition Background Modeling Color Videos
DOI10.1016/j.cviu.2022.103560
URLView the original
Indexed BySCIE
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS IDWOS:000869094100001
Scopus ID2-s2.0-85139043005
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Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorKit Ian Kou
Affiliation1.University of Macau
2.University of Macau
3.Yunan University
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Juan Han,Kit Ian Kou,Jifei Miao. Quaternion-based dynamic mode decomposition for background modeling in color videos[J]. Computer Vision and Image Understanding,2022,224.
APA Juan Han,Kit Ian Kou,&Jifei Miao.(2022).Quaternion-based dynamic mode decomposition for background modeling in color videos.Computer Vision and Image Understanding,224.
MLA Juan Han,et al."Quaternion-based dynamic mode decomposition for background modeling in color videos".Computer Vision and Image Understanding 224(2022).
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