Background Modeling Based on Statistical Clustering Partitioning

In order to effectively detect dim-small targets in complex scenes, background suppression is applied to highlight the targets. This paper presents a statistical clustering partitioning low-rank background modeling algorithm (SCPLBMA), which clusters the image into several patches based on image statistics. The image matrix of each patch is decomposed into low-rank matrix and sparse matrix in the SCPLBMA. The background of the original video frames is reconstructed from the low-rank matrices, and the targets can be obtained by subtracting the background. Experiments on different scenes show that the SCPLBMA can effectively suppress the background and textures and equalize the residual noise with gray levels significantly lower than that of the targets. Thus, the difference images obtain good stationary characteristics, and the contrast between the targets and the residual backgrounds is significantly improved. Compared with six other algorithms, the SCPLBMA significantly improved the target detection rates of single-frame threshold segmentation.

[1]  Sajid Javed,et al.  Robust Subspace Learning: Robust PCA, Robust Subspace Tracking, and Robust Subspace Recovery , 2017, IEEE Signal Processing Magazine.

[2]  Trevor Darrell,et al.  Rich Feature Hierarchies for Accurate Object Detection and Semantic Segmentation , 2013, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

[3]  Michael J. Black,et al.  A Framework for Robust Subspace Learning , 2003, International Journal of Computer Vision.

[4]  Namrata Vaswani,et al.  An Online Algorithm for Separating Sparse and Low-Dimensional Signal Sequences From Their Sum , 2013, IEEE Transactions on Signal Processing.

[5]  Soon Ki Jung,et al.  Online Stochastic Tensor Decomposition for Background Subtraction in Multispectral Video Sequences , 2015, 2015 IEEE International Conference on Computer Vision Workshop (ICCVW).

[6]  El-hadi Zahzah,et al.  Handbook of Robust Low-Rank and Sparse Matrix Decomposition: Applications in Image and Video Processing , 2016 .

[7]  Sajid Javed,et al.  On the Applications of Robust PCA in Image and Video Processing , 2018, Proceedings of the IEEE.

[8]  Gerhard Rigoll,et al.  Background segmentation with feedback: The Pixel-Based Adaptive Segmenter , 2012, 2012 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops.

[9]  Marc Van Droogenbroeck,et al.  ViBe: A Universal Background Subtraction Algorithm for Video Sequences , 2011, IEEE Transactions on Image Processing.

[10]  N. Campbell Robust Procedures in Multivariate Analysis I: Robust Covariance Estimation , 1980 .

[11]  Pablo A. Parrilo,et al.  Rank-Sparsity Incoherence for Matrix Decomposition , 2009, SIAM J. Optim..

[12]  Takeo Kanade,et al.  Robust L/sub 1/ norm factorization in the presence of outliers and missing data by alternative convex programming , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[13]  El-hadi Zahzah,et al.  LRSLibrary: Low-Rank and Sparse tools for Background Modeling and Subtraction in Videos , 2016 .

[14]  Yi Ma,et al.  The Augmented Lagrange Multiplier Method for Exact Recovery of Corrupted Low-Rank Matrices , 2010, Journal of structural biology.

[15]  Huanyao Dai,et al.  Target Detection Method Before Tracking based on Particle Filter , 2017 .

[16]  Yi Yang,et al.  Infrared Patch-Image Model for Small Target Detection in a Single Image , 2013, IEEE Transactions on Image Processing.

[17]  Xiang Zhang,et al.  OverFeat: Integrated Recognition, Localization and Detection using Convolutional Networks , 2013, ICLR.

[18]  John Wright,et al.  Dense Error Correction Via $\ell^1$-Minimization , 2010, IEEE Transactions on Information Theory.

[19]  Emmanuel J. Candès,et al.  A Singular Value Thresholding Algorithm for Matrix Completion , 2008, SIAM J. Optim..

[20]  Laura Balzano,et al.  Incremental gradient on the Grassmannian for online foreground and background separation in subsampled video , 2012, 2012 IEEE Conference on Computer Vision and Pattern Recognition.

[21]  Karl Pearson F.R.S. LIII. On lines and planes of closest fit to systems of points in space , 1901 .

[22]  Antoine Vacavant,et al.  A comprehensive review of background subtraction algorithms evaluated with synthetic and real videos , 2014, Comput. Vis. Image Underst..

[23]  Yoshua Bengio,et al.  Gradient-based learning applied to document recognition , 1998, Proc. IEEE.

[24]  Soon Ki Jung,et al.  Decomposition into Low-rank plus Additive Matrices for Background/Foreground Separation: A Review for a Comparative Evaluation with a Large-Scale Dataset , 2015, Comput. Sci. Rev..

[25]  Thierry Bouwmans,et al.  Background Subtraction in Real Applications: Challenges, Current Models and Future Directions , 2019, Comput. Sci. Rev..

[26]  Z. Zivkovic Improved adaptive Gaussian mixture model for background subtraction , 2004, ICPR 2004.

[27]  Alexander G. Gray,et al.  QUIC-SVD: Fast SVD Using Cosine Trees , 2008, NIPS.

[28]  Yi Ma,et al.  Robust principal component analysis? , 2009, JACM.

[29]  Xin Zhou,et al.  Small Infrared Target Detection Based on Weighted Local Difference Measure , 2016, IEEE Transactions on Geoscience and Remote Sensing.

[30]  Weidong Yang,et al.  Moving dim point target detection with three-dimensional wide-to-exact search directional filtering , 2007, Pattern Recognit. Lett..

[31]  Marc Van Droogenbroeck,et al.  ViBE: A powerful random technique to estimate the background in video sequences , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[32]  Lee. R. Moyer,et al.  A Multi-Dimensional Hough Transform-Based Track-Before-Detect Technique for Detecting Weak Targets in Strong Clutter Backgrounds , 2011, IEEE Transactions on Aerospace and Electronic Systems.

[33]  Kyu-Ik Sohng,et al.  An Efficient Two-Dimensional Least Mean Square (TDLMS) Based on Block Statistics for Small Target Detection , 2009 .

[34]  Xiaoming Yuan,et al.  Sparse and low-rank matrix decomposition via alternating direction method , 2013 .

[35]  Christophe Croux,et al.  A Fast Algorithm for Robust Principal Components Based on Projection Pursuit , 1996 .

[36]  Xiangzhi Bai,et al.  Infrared small target enhancement and detection based on modified top-hat transformations , 2010, Comput. Electr. Eng..

[37]  Brendt Wohlberg,et al.  Fast principal component pursuit via alternating minimization , 2013, 2013 IEEE International Conference on Image Processing.

[38]  Kyu-Ik Sohng,et al.  Small Target Detection Using Bilateral Filter Based on Edge Component , 2010 .