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Local reverse entropy weighted LBF model solving by Split Bregman for image segmentation

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Abstract

In this paper, an efficient level set model is proposed for image segmentation. Firstly, the original local binary fitting (LBF) model is redefined as a weighted energy integral, whose weight coefficient is the fast local reverse entropy of the image, and the total energy functional is then incorporated into a variational level set formulation. Secondly, the global convex segmentation method is used to construct a simplified convex segmentation model, at the same time, the edge information obtained by an edge indicator function is embedded into the total variation norm to further enhance the model’s target capture capability. Thirdly, the Split Bregman method is introduced to solve the generated convex optimization problem. Experimental results on synthetic and real images demonstrate that the proposed model has considerable improvements in terms of quantitative evaluation (being verified on the complete PASCAL VOC 2012 dataset), convergence rate, sensitivity to initial contour and robustness to noise interference compared with the state-of-the-art models. We also compare the proposed model with the famous FCN and Mask R-CNN, and make a special analysis on the adaptability of our method to occluded targets.

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References

  1. Abdelsamea MM, Gnecco G, Gaber MM (2017) A SOM-based Chan-Vese model for unsupervised image segmentation. Soft Comput 21(8):2047–2067

    Article  Google Scholar 

  2. Bregman L (1967) The relaxation method of finding the common points of convex sets and its application to the solution of problems in convex optimization. USSR Comput Math and Math Phys 7:200–217

    Article  Google Scholar 

  3. Bresson X, Esedoglu S, Vandergheynst P, Thiran J-P, Osher S (2007) Fast global minimization of the active contour/snake model. J Math Imaging Vis 28(2):151–167

    Article  MathSciNet  Google Scholar 

  4. Caselles V, Kimmel R, Sapiro G (1997) Geodesic active contours. Int J Comput Vis 22(1):61–79

    Article  Google Scholar 

  5. Chan TF, Vese LA (2001) Active contours without edges. IEEE Trans Image Process 10(2):266–277

    Article  Google Scholar 

  6. Chan TF, Esedoglu S, Nikolova M (2006) Algorithms for finding global minimizers of image segmentation and Denoising models. SIAM J Appl Math 66(5):1632–1648

    Article  MathSciNet  Google Scholar 

  7. Deng H, Wei Y, Tong M (2013) Background suppression of small target image based on fast local reverse entropy operator. IET Comput Vis 7(5):405–413

    Article  Google Scholar 

  8. Fang J, Liu H, Zhang L, Liu J, Liu H (2019) Fuzzy region-based active contours driven by weighting global and local fitting energy. IEEE Access 7:97492–97504

    Article  Google Scholar 

  9. Goldstein T, Osher S (2009) The split Bregman method for L1 regularized problems. SIAM J Imaging Sci 2(2):323–343

    Article  MathSciNet  Google Scholar 

  10. Goldstein T, Bresson X, Osher S (2010) Geometric applications of the split Bregman method: segmentation and surface reconstruction. J Sci Comput 45:272–293

    Article  MathSciNet  Google Scholar 

  11. Guo Q, Sun S, Ren X, Dong F, Gao BZ, Feng W (2018) Frequency-tuned active contour model. Neurocomputing 275(1):2307–2316

    Article  Google Scholar 

  12. He K, Gkioxari G, Dollar P, Girshick R (2017) Mask R-CNN. in 2017 IEEE International Conference on Computer Vision, 2980–2988.

  13. Li Q, TingquanDeng WX (2016) Active contours driven by divergence of gradient vector flow. Signal Process 120:185–199

    Article  Google Scholar 

  14. Li C, Kao C-Y, Gore JC, Ding Z (2007) Implicit active contours driven by local binary fitting energy. In IEEE Conference on Computer Vision and Pattern Recognition

  15. Long J, Shelhamer E, Darrell T (2017) Fully Convolutional Networks for Semantic Segmentation. in 2015 IEEE International Conference on Computer Vision and Pattern Recognition, 3431–3440

  16. Ronfard R (1994) Region-based strategies for active contour models. Int J Comput Vis 13(2):229–251

    Article  Google Scholar 

  17. Vovk U, Pernus F, Likar B (2007) A review of methods for correction of intensity inhomogeneity in MRI. IEEE Trans Med Imaging 26(3):405–421

    Article  Google Scholar 

  18. Xu C, Jerry L (1998) Prince. Snakes, shapes, and gradient vector flow. IEEE Trans Image Process 7(3):359–369

    Article  MathSciNet  Google Scholar 

  19. Zheng Q, Lu Z, Yang W, Zhang M, Feng Q, Chen W (2013) A robust medical image segmentation method using KL distance and local neighborhood information. Comput Biol Med 43:459–470

    Article  Google Scholar 

  20. Zhi X-H, Shen H-B (2018) Saliency driven region-edge-based top down level set evolution reveals the asynchronous focus in image segmentation. Pattern Recogn 80(8):241–255

    Article  Google Scholar 

  21. Zhu S, Gao R (2016) A novel generalized gradient vector flow snake model using minimal surface and component-normalized method for medical image segmentation. Biomed Signal Process Control 26:1–10

    Article  Google Scholar 

Download references

Acknowledgements

This work is supported by the Fundamental Research Funds for the Central Universities of China under Grant No. ZYGX2018J079. The authors gratefully acknowledge the financial support from China Scholarship Council (CSC) under Grant No. 201706075068. The authors would like to thank the anonymous reviewers for their valuable comments and advices.

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Correspondence to Dengwei Wang.

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Wang, D. Local reverse entropy weighted LBF model solving by Split Bregman for image segmentation. Multimed Tools Appl 79, 23669–23693 (2020). https://doi.org/10.1007/s11042-020-09094-z

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