skip to main content
10.1145/3573942.3574024acmotherconferencesArticle/Chapter ViewAbstractPublication PagesaiprConference Proceedingsconference-collections
research-article

Moving Object Detection Based on Truncated Nuclear Norm and 3D Total Variation

Published: 16 May 2023 Publication History

Abstract

Robust principal component analysis (RPCA) has been widely used in moving object detection, but the traditional low rank and sparse decomposition method constrained by nuclear norm can only be applied to simple scenes such as static background. In dynamic background, the traditional RPCA method cannot extract moving objects completely, and it is easy to detect the background as moving objects by mistake. To solve this problem, a moving object detection model based on truncated nuclear norm and total variation is proposed. The model uses truncated nuclear norm to better constrain the low rank of video background; Considering the temporal and spatial continuity of moving objects, the constraint of moving objects is realized by 3D total variation, so as to improve the accuracy of moving object detection. Finally, the two-step iterative strategy and augmented Lagrange multiplier method are introduced to solve the proposed model. Through simulation experiments and comparing the F-measure values of each algorithm, it is proved that the proposed model can effectively improve the accuracy of detecting moving objects in dynamic background from the perspective of vision and quantification, and achieved better visual effect than the existing model.

References

[1]
Song H, Shen M. Target tracking algorithm based on optical flow method using corner detection[J]. Multimedia Tools and Applications, 2011, 52(1): 121-131.
[2]
Ju J, Xing J. Moving object detection based on smoothing three frame difference method fused with RPCA[J]. Multimedia Tools and Applications, 2019, 78(21): 29937-29951.
[3]
Zhang Y, Zheng W, Leng K, Background subtraction using an adaptive local median texture feature in illumination changes urban traffic scenes[J]. IEEE Access, 2020, 8: 130367-130378.
[4]
Candes EJ, Wakin MB, Boyd S P. Enhancing sparsity by reweighted ℓ1 minimization[J]. Journal of Fourier analysis and applications, 2008, 14(5): 877-905.
[5]
Wright J, Ganesh A, Rao S, Robust principal component analysis: Exact recovery of corrupted low-rank matrices via convex optimization[J]. Advances in neural information processing systems, 2009, 22.
[6]
Zhou Z, Li X, Wright J, Stable principal component pursuit[C]//2010 IEEE international symposium on information theory. IEEE, 2010: 1518-1522.
[7]
Zhang D, Hu Y, Ye J, Matrix completion by truncated nuclear norm regularization[C]//2012 IEEE Conference on computer vision and pattern recognition. IEEE, 2012: 2192-2199.
[8]
Xue Z, Dong J, Zhao Y, Low-rank and sparse matrix decomposition via the truncated nuclear norm and a sparse regularizer[J]. the visual computer, 2019, 35(11): 1549-1566.
[9]
Zhou X, Yang C, Yu W. Moving object detection by detecting contiguous outliers in the low-rank representation[J]. IEEE transactions on pattern analysis and machine intelligence, 2012, 35(3): 597-610.
[10]
Xie Y, Gu S, Liu Y, Weighted Schatten $ p $-norm minimization for image denoising and background subtraction[J]. IEEE transactions on image processing, 2016, 25(10): 4842-4857.
[11]
Erfanian Ebadi S, Izquierdo E. Foreground segmentation via dynamic tree-structured sparse RPCA[C]//European Conference on Computer Vision. Springer, Cham, 2016: 314-329.
[12]
Yang J, Sun X, Ye X, Background extraction from video sequences via motion-assisted matrix completion[C]//2014 IEEE International Conference on Image Processing (ICIP). IEEE, 2014: 2437-2441.
[13]
Cao X, Yang L, Guo X. Total variation regularized RPCA for irregularly moving object detection under dynamic background[J]. IEEE transactions on cybernetics, 2015, 46(4): 1014-1027.
[14]
Hu Y, Zhang D, Ye J, Fast and accurate matrix completion via truncated nuclear norm regularization[J]. IEEE transactions on pattern analysis and machine intelligence, 2012, 35(9): 2117-2130.
[15]
Boyd S, Parikh N, Chu E, Distributed optimization and statistical learning via the alternating direction method of multipliers[J]. Foundations and Trends® in Machine learning, 2011, 3(1): 1-122.
[16]
Kang Z, Peng C, Cheng Q. Robust PCA via nonconvex rank approximation[C]//2015 IEEE International Conference on Data Mining. IEEE, 2015: 211-220.

Index Terms

  1. Moving Object Detection Based on Truncated Nuclear Norm and 3D Total Variation

    Recommendations

    Comments

    Information & Contributors

    Information

    Published In

    cover image ACM Other conferences
    AIPR '22: Proceedings of the 2022 5th International Conference on Artificial Intelligence and Pattern Recognition
    September 2022
    1221 pages
    ISBN:9781450396899
    DOI:10.1145/3573942
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

    Publisher

    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 16 May 2023

    Permissions

    Request permissions for this article.

    Check for updates

    Qualifiers

    • Research-article
    • Research
    • Refereed limited

    Conference

    AIPR 2022

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • 0
      Total Citations
    • 23
      Total Downloads
    • Downloads (Last 12 months)5
    • Downloads (Last 6 weeks)3
    Reflects downloads up to 01 Mar 2025

    Other Metrics

    Citations

    View Options

    Login options

    View options

    PDF

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader

    HTML Format

    View this article in HTML Format.

    HTML Format

    Figures

    Tables

    Media

    Share

    Share

    Share this Publication link

    Share on social media