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A Modified Fuzzy C-Means Algorithm for Brain MR Image Segmentation and Bias Field Correction

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Abstract

In quantitative brain image analysis, accurate brain tissue segmentation from brain magnetic resonance image (MRI) is a critical step. It is considered to be the most important and difficult issue in the field of medical image processing. The quality of MR images is influenced by partial volume effect, noise, and intensity inhomogeneity, which render the segmentation task extremely challenging. We present a novel fuzzy c-means algorithm (RCLFCM) for segmentation and bias field correction of brain MR images. We employ a new gray-difference coefficient and design a new impact factor to measure the effect of neighbor pixels, so that the robustness of anti-noise can be enhanced. Moreover, we redefine the objective function of FCM (fuzzy c-means) by adding the bias field estimation model to overcome the intensity inhomogeneity in the image and segment the brain MR images simultaneously. We also construct a new spatial function by combining pixel gray value dissimilarity with its membership, and make full use of the space information between pixels to update the membership. Compared with other state-of-the-art approaches by using similarity accuracy on synthetic MR images with different levels of noise and intensity inhomogeneity, the proposed algorithm generates the results with high accuracy and robustness to noise.

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References

  1. Li C, Gore J C, Davatzikos C. Multiplicative intrinsic component optimization (MICO) for MRI bias field estimation and tissue segmentation. Magnetic Resonance Imaging, 2014, 32(7): 913–923.

    Article  Google Scholar 

  2. Condon B R, Patterson J, Wyper D et al. Image nonuniformity in magnetic resonance imaging: Its magnitude and methods for its correction. The British Journal of Radiology, 1987, 60(709): 83–87.

    Article  Google Scholar 

  3. Simmons A, Tofts P S, Barker G J et al. Sources of intensity nonuniformity in spin echo images at 1.5 T. Magnetic Resonance in Medicine, 1994, 32(1): 121–128.

    Article  Google Scholar 

  4. Tincher M, Meyer C R, Gupta R et al. Polynomial modeling and reduction of RF body coil spatial inhomogeneity in MRI. IEEE Transactions on Medical Imaging, 1993, 12(2): 361–365.

    Article  Google Scholar 

  5. Pham D L, Prince J L. Adaptive fuzzy segmentation of magnetic resonance images. IEEE Transactions on Medical Imaging, 1999, 18(9): 737–752.

    Article  Google Scholar 

  6. Styner M, Brechbuhler C, Szckely G et al. Parametric estimate of intensity inhomogeneities applied to MRI. IEEE Transactions on Medical Imaging, 2000, 19(3): 153–165.

    Article  Google Scholar 

  7. Van Leemput K, Maes F, Vandermeulen D et al. Automated model-based bias field correction of MR images of the brain. IEEE Transactions on Medical Imaging, 1999, 18(10): 885-896.

    Article  Google Scholar 

  8. Wells III W M, Grimson W E L, Kikinis R et al. Adaptive segmentation of MRI data. IEEE Transactions on Medical Imaging, 1996, 15(4): 429–442.

    Article  Google Scholar 

  9. Johnston B, Atkins M S, Mackiewich B et al. Segmentation of multiple sclerosis lesions in intensity corrected multispectral MRI. IEEE Transactions on Medical Imaging, 1996, 15(2): 154–169.

    Article  Google Scholar 

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

    Article  Google Scholar 

  11. Bezdek J C. Pattern Recognition with Fuzzy Objective Function Algorithms. Springer Science & Business Media, 2013.

  12. Pham D L, Prince J L. An adaptive fuzzy c-means algorithm for image segmentation in the presence of intensity inhomogeneities. Pattern Recognition Letters, 1999, 20(1): 57–68.

    Article  MATH  Google Scholar 

  13. Ahmed M N, Yamany S M, Mohamed N et al. A modified fuzzy c-means algorithm for bias field estimation and segmentation of MRI data. IEEE Transactions on Medical Imaging, 2002, 21(3): 193–199.

    Article  Google Scholar 

  14. Balafar M A, Ramli A R, Mashohor S et al. Compare different spatial based fuzzy-c-mean (FCM) extensions for MRI image segmentation. In Proc. the 2nd International Conference on Computer and Automation Engineering (ICCAE), Feb. 2010, pp.609-611.

  15. Chen S, Zhang D. Robust image segmentation using FCM with spatial constraints based on new kernel-induced distance measure. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 2004, 34(4): 1907–1916.

    Article  Google Scholar 

  16. Chuang K S, Tzeng H L, Chen S et al. Fuzzy c-means clustering with spatial information for image segmentation. Computerized Medical Imaging and Graphics, 2006, 30(1): 9–15.

    Article  Google Scholar 

  17. Szilagyi L, Benyo Z, Szilagyi S M et al. MR brain image segmentation using an enhanced fuzzy c-means algorithm. In Proc. the 25th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Sept. 2003, pp.724-726.

  18. Cai W, Chen S, Zhang D. Fast and robust fuzzy c-means clustering algorithms incorporating local information for image segmentation. Pattern Recognition, 2007, 40(3): 825-838.

    Article  MATH  Google Scholar 

  19. Krinidis S, Chatzis V. A robust fuzzy local information cmeans clustering algorithm. IEEE Transactions on Image Processing, 2010, 19(5): 1328–1337.

    Article  MathSciNet  Google Scholar 

  20. Gong M, Liang Y, Shi J et al. Fuzzy c-means clustering with local information and kernel metric for image segmentation. IEEE Transactions on Image Processing, 2013, 22(2): 573-584.

    Article  MathSciNet  Google Scholar 

  21. Li C, Gatenby C,Wang L et al. A robust parametric method for bias field estimation and segmentation of MR images. In Proc. Computer Vision and Pattern Recognition, June 2009, pp.218-223.

  22. Powell M J D. Approximation Theory and Methods. Cambridge University Press, 1981.

  23. Gong M, Zhou Z, Ma J. Change detection in synthetic aperture radar images based on image fusion and fuzzy clustering. IEEE Transactions on Image Processing, 2012, 21(4): 2141–2151.

    Article  MathSciNet  Google Scholar 

  24. Ji Z, Liu J, Cao G et al. Robust spatially constrained fuzzy c-means algorithm for brain MR image. Pattern Recognition, 2014, 47(7): 2454–2466.

    Article  Google Scholar 

Download references

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Correspondence to Xue-Mei Li.

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Special Section of CVM 2016

This work was supported by the National Natural Science Foundation of China under Grant Nos. 61332015, 61373078, 61572292, and 61272430, and the National Research Foundation for the Doctoral Program of Higher Education of China under Grant No. 20110131130004.

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Deng, WQ., Li, XM., Gao, X. et al. A Modified Fuzzy C-Means Algorithm for Brain MR Image Segmentation and Bias Field Correction. J. Comput. Sci. Technol. 31, 501–511 (2016). https://doi.org/10.1007/s11390-016-1643-5

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  • DOI: https://doi.org/10.1007/s11390-016-1643-5

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