eprintid: 10286 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/01/02/86 datestamp: 2023-11-09 16:36:54 lastmod: 2023-11-09 16:36:54 status_changed: 2023-11-09 16:31:02 type: article metadata_visibility: show creators_name: Kajo, I. creators_name: Kamel, N. creators_name: Ruichek, Y. creators_name: Malik, A.S. title: SVD-Based Tensor-Completion Technique for Background Initialization ispublished: pub keywords: Computational complexity; Feature extraction; Image converters; Image reconstruction; Matrix converters; Tensile stress; Tensors, Background initialization; Matrix decomposition; Spatio-temporal slices; Spatiotemporal phenomena; Tensor completion, Singular value decomposition note: cited By 29 abstract: Extracting the background from a video in the presence of various moving patterns is the focus of several background-initialization approaches. To model the scene background using rank-one matrices, this paper proposes a background-initialization technique that relies on the singular-value decomposition (SVD) of spatiotemporally extracted slices from the video tensor. The proposed method is referred to as spatiotemporal slice-based SVD (SS-SVD). To determine the SVD components that best model the background, a depth analysis of the computation of the left/right singular vectors and singular values is performed, and the relationship with tensor-tube fibers is determined. The analysis proves that a rank-1 matrix extracted from the first left and right singular vectors and singular value represents an efficient model of the scene background. The performance of the proposed SS-SVD method is evaluated using 93 complex video sequences of different challenges, and the method is compared with state-of-the-art tensor/matrix completion-based methods, statistical-based methods, search-based methods, and labeling-based methods. The results not only show better performance over most of the tested challenges, but also demonstrate the capability of the proposed technique to solve the background-initialization problem in a less computational time and with fewer frames. © 1992-2012 IEEE. date: 2018 publisher: Institute of Electrical and Electronics Engineers Inc. official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85044044731&doi=10.1109%2fTIP.2018.2817045&partnerID=40&md5=56caf57c232f6ddd50c175199cdc9746 id_number: 10.1109/TIP.2018.2817045 full_text_status: none publication: IEEE Transactions on Image Processing volume: 27 number: 6 pagerange: 3114-3126 refereed: TRUE issn: 10577149 citation: Kajo, I. and Kamel, N. and Ruichek, Y. and Malik, A.S. (2018) SVD-Based Tensor-Completion Technique for Background Initialization. IEEE Transactions on Image Processing, 27 (6). pp. 3114-3126. ISSN 10577149