Abstract
Human brain MRI images are complex, and matters present in the brain exhibit non-spherical shape. There exits uncertainty in the overlapping structure of brain tissue, i.e. a lack of distinctness in the class definition. Soft clustering methods can efficiently handle the uncertainty, and plane-based clustering methods are found to be more efficient for non-spherical shape data. Fuzzy k-plane clustering (FkPC) method is a soft plane-based clustering algorithms that can handle the uncertainty in medical images, but its performance degraded in the presence of noise. In this research work, we incorporated local spatial information in the FkPC clustering method to handle the noise present in the image. This spatial regularization term included in the proposed FkPC_S method refines the membership value of noisy pixel with the help of immediate neighbour pixels information. To show the effectiveness of the proposed FkPC_S method, extensive experiments are performed on one synthetic image and two publicly available human brain MRI datasets. The performance of the proposed method is compared with 10 related methods in terms of average segmentation accuracy and dice score. The experiments result shows that the proposed FkPC_S method is superior in comparison with 10 related methods in the presence of noise. Statistically significance difference and superior performance of the proposed method in comparison with other methods are also found using Friedman test.
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Ahmed MN, Yamany SM, Mohamed N, Farag AA, Moriarty T (2002) A modified fuzzy c-means algorithm for bias field estimation and segmentation of mri data. IEEE Tran Med Imaging 21(3):193–199
Aiello M, Cavaliere C, D’Albore A, Salvatore M (2019) The challenges of diagnostic imaging in the era of big data. J Clin Med 8(3):316
Bai X, Zhang Y, Liu H, Chen Z (2018) Similarity measure-based possibilistic fcm with label information for brain mri segmentation. IEEE Trans cybern 49(7):2618–2630
Bangiyev S, Chang D, Urbanek D E, Dickey RC, Reti R, Findlay D (2021) Neurological disorders. In: Oral board review for oral and maxillofacial surgery, pp. 429–441. Springer
Bezdek JC, Coray C, Gunderson R, Watson J (1981) Detection and characterization of cluster substructure i. linear structure: fuzzy c-lines. SIAM J Appl Math 40(2):339–357
Bezdek JC, Ehrlich R, Full W (1984) Fcm: the fuzzy c-means clustering algorithm. Comput Geosci 10(2–3):191–203
Bora DJ, Gupta D, Kumar A (2014) A comparative study between fuzzy clustering algorithm and hard clustering algorithm. arXiv preprint arXiv:1404.6059
Bradley PS, Mangasarian OL (2000) K-plane clustering. J Global Opt 16(1):23–32
Cai W, Chen S, Zhang D (2007) Fast and robust fuzzy c-means clustering algorithms incorporating local information for image segmentation. Pattern Recognit 40(3):825–838
Chen S, Zhang D (2004) Robust image segmentation using fcm with spatial constraints based on new kernel-induced distance measure. IEEE Trans Syst Man Cybern Part B Cybern 34(4):1907–1916
Cocosco CA, Kollokian V, Kwan RKS, Pike GB, Evans AC (1997) Brainweb: Online interface to a 3d mri simulated brain database. In: NeuroImage. Citeseer
Dash S, Shakyawar SK, Sharma M, Kaushik S (2019) Big data in healthcare: management, analysis and future prospects. J Big Data 6(1):1–25
Derrac J, García S, Molina D, Herrera F (2011) A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithms. Swarm Evolut Comput 1(1):3–18
Dhanachandra N, Chanu YJ (2017) A survey on image segmentation methods using clustering techniques. Eur J Eng Tech Res 2(1):15–20
Doi K (2007) Computer-aided diagnosis in medical imaging: historical review, current status and future potential. Comput Med Imaging Gr 31(4–5):198–211
Friedman M (1937) The use of ranks to avoid the assumption of normality implicit in the analysis of variance. J Am Stat Ass 32(200):675–701
Hartigan JA, Wong MA (1979) Ak-means clustering algorithm. J R Stat Soc Ser C Appl Stat 28(1):100–108
Iman RL, Davenport JM (1980) Approximations of the critical region of the fbietkan statistic. Commun Stat Theory Methods 9(6):571–595
Kumar D, Agrawal R, Verma H (2020) Kernel intuitionistic fuzzy entropy clustering for mri image segmentation. Soft Comput 24(6):4003–4026
Kumar D, Agrawal RK, Kirar JS (2019) Intuitionistic fuzzy clustering method with spatial information for mri image segmentation. In: 2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), pp. 1–7. IEEE
Kumar D, Agrawal RK, Kumar P (2020) Bias-corrected intuitionistic fuzzy c-means with spatial neighborhood information approach for human brain mri image segmentation. IEEE Transactions on Fuzzy Systems
Kumar D, Verma H, Mehra A, Agrawal R (2019) A modified intuitionistic fuzzy c-means clustering approach to segment human brain mri image. Multimed Tools Appl 78(10):12663–12687
Liu J, Pham TD, Yan H, Liang Z (2018) Fuzzy mixed-prototype clustering algorithm for microarray data analysis. Neurocomputing 276:42–54
Liu LM, Guo YR, Wang Z, Yang ZM, Shao YH (2017) k-proximal plane clustering. Int J Mach Learn Cybern 8(5):1537–1554
The Mathworks, Inc., Natick, Massachusetts: MATLAB version 9.10.0.1613233 (R2021a) (2021)
Pan ZLWSt, Bin YhH (2008) Improved fuzzy partitions for k-plane clustering algorithm and its robustness research. J Electr Inf Tech. Vol. 8
Saxena A, Prasad M, Gupta A, Bharill N, Patel OP, Tiwari A, Er MJ, Ding W, Lin CT (2017) A review of clustering techniques and developments. Neurocomputing 267:664–681
Shehab N, Badawy M, Arafat H (2021) Big data analytics and preprocessing. In: Machine learning and big data analytics paradigms: analysis, applications and challenges, pp. 25–43. Springer
Smith S M (2000) Bet: brain extraction tool. FMRIB TR00SMS2b, Oxford Centre for Functional Magnetic Resonance Imaging of the Brain), Department of Clinical Neurology, Oxford University, John Radcliffe Hospital, Headington, UK
Suhang G, Nojima Y, Ishibuchi H, Wang S (2020) Fuzzy style k-plane clustering. IEEE Transactions on Fuzzy Systems
Szilagyi L, Benyo Z, Szilágyi SM, Adam H (2003) Mr brain image segmentation using an enhanced fuzzy c-means algorithm. In: Proceedings of the 25th annual international conference of the IEEE engineering in medicine and biology society (IEEE Cat. No. 03CH37439), vol. 1, pp. 724–726. IEEE
Verma H, Gupta A, Kumar D (2019) A modified intuitionistic fuzzy c-means algorithm incorporating hesitation degree. Pattern Recogn Lett 122:45–52
Xie XL, Beni G (1991) A validity measure for fuzzy clustering. IEEE Trans Pattern Anal Mach Intell 13(8):841–847
Yang ZM, Guo YR, Li CN, Shao YH (2015) Local k-proximal plane clustering. Neural Comput Appl 26(1):199–211
Zadeh LA (1996) Fuzzy sets. In: Fuzzy sets, fuzzy logic, and fuzzy systems: selected papers by Lotfi A Zadeh, pp. 394–432. World Scientific
Zhang Y, Bai X, Fan R, Wang Z (2018) Deviation-sparse fuzzy c-means with neighbor information constraint. IEEE Trans Fuzzy Syst 27(1):185–199
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The first author has received UGC funding for this research.
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All authors contributed to the study conception and design. Material preparation and analysis were performed by Puneet Kumar, Dhirendra Kumar, and R. K. Agrawal. The first draft of the manuscript was written by Puneet Kumar, and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.
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Kumar, P., Kumar, D. & Agrawal, R.K. Fuzzy k-plane clustering method with local spatial information for segmentation of human brain MRI image. Neural Comput & Applic 34, 4855–4874 (2022). https://doi.org/10.1007/s00521-021-06677-1
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DOI: https://doi.org/10.1007/s00521-021-06677-1