Abstract
Threshold method is an important image segmentation method, which has been widely used in image segmentation. For this method, it is very important to choose a good threshold. The traditional threshold segmentation algorithm is implemented by exhaustive method, which makes the solution efficiency very low. This paper presents a collective neurodynamic optimization algorithm to solve the problem of binary optimization in the image segmentation. The problem of image segmentation based on threshold is transformed into binary optimization with constraints. Then, a collective neurodynamic optimization algorithm is introduced which combined with feedback neural network and particle swarm optimization (PSO) algorithm. And the linear programming relaxation constraint method is used to relax binary constraints. It is proved by numerical simulation that the feedback neural network algorithm can converge to the exact local optimal solution of the model and the PSO algorithm can get a better local optimal solution. Finally, several sets of comparative experiments are presented. The feasibility of our proposed method is verified; the experimental results demonstrate the effectiveness of our approach in image segmentation. In this study, a collective neurodynamic optimization was proposed for the image segmentation problem. In the future, we expect that multiple centralized neurodynamic models and intelligent algorithms can be used to solve the problem and improve the convergence speed of the solved model.
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References
Yi F, Moon I. Image segmentation: a survey of graph-cut methods. 2012 international conference on systems and informatics (ICSAI2012); 2012. p. 1936–1941.
Boykov YY, Jolly MP. Interactive graph cuts for optimal boundary & region segmentation of objects in ND images. Proceedings eighth IEEE international conference on computer vision; 2001. p. 105–112.
Sinop AK, Grady L. A seeded image segmentation framework unifying graph cuts and random walker which yields a new algorithm. 2007 IEEE 11th international conference on computer vision; 2007. p. 1–8.
Otsu NA. Threshold selection method from gray-level histograms. IEEE Trans Syst Man Cybern 1979;9(1):62–66.
Naz S, Majeed H, Irshad H. Image segmentation using fuzzy clustering: a survey. 2010 6th international conference on emerging technologies (ICET); 2010. p. 181–186.
Raut SA, Raghuwanshi M, Dharaskar R, et al. Image segmentation- –a state-of-art survey for prediction. 2009 international conference on advanced computer control; 2009. p. 420–424.
Wang L. Comparison for edge detection of colony images. IJCSNS Int J Comput Sci Netw Secur 2006;6(9A):211–215.
Musoromy Z, Ramalingam S, Bekooy N. Edge detection comparison for license plate detection. 2010 11th international conference on control automation robotics and vision; 2010. p. 1133–1138.
Rambabu C, Chakrabarti I, Mahanta A. Flooding-based watershed algorithm and its prototype hardware architecture IEE Proceedings-Vision. Image and Signal Process 2004;151(3):224–234.
Falcao AX, Udupa JK, Miyazawa FK. An ultra-fast user-steered image segmentation paradigm: live wire on the fly. IEEE Trans Med Imaging 2000;19(1):55–62.
Willett RM, Nowak RD. Minimax optimal level-set estimation. IEEE Trans Image Process 2007; 16(12):2965–2979.
Ahmed MM, Mohamad DB. Segmentation of brain MR images for tumor extraction by combining kmeans clustering and Perona-Malik anisotropic diffusion model. Int J Image Process 2008;2(1):27–34.
Achanta R, Shaji A, Smith K, et al. SLIC Superpixels compared to state-of-the-art superpixel methods. IEEE Trans Pattern Anal Mach Intell 2012;34(11):2274–2282.
Long J, Shelhamer E, Darrell T. Fully convolutional networks for semantic segmentation. The IEEE Conference on Computer Vision and Pattern Recognition (CVPR); 2015. p. 3431– 3440.
CHEN LC. Fast thresholding for image segmentation based on 0 1 programming. Comput Eng Appl 2012;48(10):197–199.
Omran MG, Salman A, Engelbrecht AP. Dynamic clustering using particle swarm optimization with application in image segmentation. Pattern Anal Appli 2006;8(4):332.
He X, Zhao Y, Huang T. Optimizing the dynamic economic dispatch problem by the distributed consensus-based ADMM approach. IEEE Trans Indust Inform 2020;16(5):3210–3221.
Wen S, He X, Huang T. Distributed neuro-dynamic algorithm for price-based game in energy consumption system. Neural Process Lett 2020;51:559–575.
Fan J, Zhao D, Wang J. Oil spill gf-1 remote sensing image segmentation using an evolutionary feedforward neural network. 2014 International Joint Conference on Neural Networks (IJCNN); 2014. p. 460–464.
Fan J, Wang J. 2015. Polarimetric SAR image segmentation based on spatially constrained kernel fuzzy C-means clustering. OCEANS 2015-Genova 1–4.
Yuan G, Ghanem B. 2016. Binary optimization via mathematical programming with equilibrium constraints. arXiv:1608.04425.
Fan J, Wang J. A two-phase fuzzy clustering algorithm based on neurodynamic optimization with its application for polsar image segmentation. IEEE Trans Fuzzy Syst 2016;26(1):72–83.
Xu B, Liu Q, Huang T. A discrete-time projection neural network for sparse signal reconstruction with application to face recognition. IEEE Trans Neur Netw Learn Syst 2018;30(1):151–162.
Xu B, Liu Q. Iterative projection based sparse reconstruction for face recognition. Neurocomputing 2018;284:99–106.
Leung MF, Wang J. A collaborative neurodynamic approach to multiobjective optimization. IEEE Trans Neur Netw Learn Syst 2018;29(11):5738–5748.
Yan Z, Wang J, Li G. A collective neurodynamic optimization approach to bound-constrained nonconvex optimization. Neural Netw 2014;55:20–29.
Che H, Wang J. A collaborative neurodynamic approach to global and combinatorial optimization. Neur Netw 2019;114:15–27.
Yang Y, Cao J. A feedback neural network for solving convex constraint optimization problems. Appl Math Comput 2008;201(1-2):340–350.
Eberhart R, Kennedy J. A new optimizer using particle swarm theory, MHS’95. Proceedings of the sixth international symposium on micro machine and human science; 1995. p. 39–43.
Khalil HK, Grizzle JW. 2002. Nonlinear systems. Upper Saddle River 3.
Zhao Y, He X, Huang T, et al. Analog circuits for solving a class of variational inequality problems. Neurocomputing 2018;295:142–152.
Funding
This work was supported by the Fundamental Research Funds for the Central Universities (Project No. XDJK2020TY003), the Natural Science Foundation of China (Grant No: 61773320), and the Natural Science Foundation Project of Chongqing CSTC (Chongqing Science and Technology Commission) (Grants No. cstc2018jcyjAX0583 and No. cstc2018jcyjAX0810).
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He, S., Huang, J. & He, X. Collective Neurodynamic Optimization for Image Segmentation by Binary Model with Constraints. Cogn Comput 12, 1265–1275 (2020). https://doi.org/10.1007/s12559-020-09762-0
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DOI: https://doi.org/10.1007/s12559-020-09762-0