Abstract
Structural and photometric anomalies in the brain magnetic resonance images (MRIs) affect the segmentation performance. Moreover, a sudden change in intensity between two boundaries of the brain tissues makes it prone to data uncertainty, resulting in the misclassification of the pixels lying near the cluster boundaries. The discrete cosine transform (DCT) domain-based filtering is an effective way to deal with structural and photometric anomalies, while the intuitionistic fuzzy C-means (IFCM) clustering can handle the uncertainty using the intuitionistic fuzzy set (IFS) theory. In this background, we propose two novel approaches, namely, the DCT-based intuitionistic fuzzy C-means (DCT-IFCM) and the DCT-based local information IFCM (DCT-LIFCM), which effectively deal with the Rician and Gaussian noises and also handle the data uncertainty problem to provide high segmentation accuracy. The DCT-IFCM approach performs the histogram-based segmentation, while the DCT-LIFCM uses the pixel-wise computation to include the spatial information. Although the DCT-LIFCM delivers slightly better performance than the DCT-IFCM, the latter is very fast in providing equally high segmentation accuracy. An exhaustive performance analysis is provided to demonstrate the superior performance of the proposed algorithms compared with the state-of-the-art algorithms, including those based on the DCT-based filtering approach and the IFS theory.
Similar content being viewed by others
References
J.C. Bezdek , L.O. Hall, L. P. Clarke, Review of MR image segmentation techniques using pattern recognition. Med Phys 20(4),1033–1048, 1993. https://doi.org/10.1118/1.597000
R. Solanki, D. Kumar, Probabilistic intuitionistic fuzzy C-means algorithm with spatial constraint for human brain MRI segmentation, Multimedia Tools Applications, 2023. https://doi.org/10.1007/s11042-023-14512-z
Y.A. Tolias, S.M. Panas, Image segmentation by a fuzzy clustering algorithm using adaptive spatially constrained membership functions, IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans, 28(3), 359–369, 1998. https://doi.org/10.1109/3468.668967
S.N. Sulaiman, S.M.C Ishak, I.S Isa, N. Hamzah, Denoising of noisy MRI brain image by using switching-based clustering algorithm, IEEE International Conference on Control System, Computing and Engineering, 1–6, 2014. https://doi.org/10.1109/ICCSCE.2014.7072679
I.S. Isa, S.N. Sulaiman, M. Mustapha, S. Darus, Evaluating de-noising performances of fundamental filters for T2- weighted MRI images, Procedia Computer Science 60, 760 – 768, 2015. https://doi.org/10.1016/j.procs.2015.08.231
R.D. Nowak, Wavelet-based Rician noise removal for magnetic resonance imaging, IEEE Trans. on Image Processing 8(10), 1408–1419, 1997. https://doi.org/10.1109/83.791966
M.N. Ahmed, S.N. Yamany, N. Mohamed, A.A. Farag, T. Moriarty, A modified fuzzy C-means algorithm for bias field estimation and segmentation of MRI data. IEEE Transactions on Medical Imaging, 21(3), 193–199, 2002. https://doi.org/10.1109/42.996338
L. Szilagyi, Z. Benyo, S. Szilagyi, H.S. Adam, MR brain image segmentation using an enhanced fuzzy C-means algorithm, In Proceedings of the 25th Annual International Conference of the IEEE, 7–21, 2003. https://doi.org/10.1109/IEMBS.2003.1279866
S.C. Chen, D.Q. Zhang, 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) 34, 1907–1916, 2004. https://doi.org/10.1109/TSMCB.2004.831165
W. Cai, S. Chen, D. Zhang, Fast and robust fuzzy C-means clustering algorithms incorporating local information for image segmentation, Pattern Recognition, 40, 825–838, 2007. https://doi.org/10.1016/j.patcog.2006.07.011
S. Krinidis, V. Chatzis, A robust fuzzy local information C-means clustering algorithm, IEEE Transaction on Image Processing, 19, 1328–1337, 2010. https://doi.org/10.1109/TIP.2010.2040763
A. Buades, B. Coll, J.M. Morel, A non-local algorithm for image denoising, Computer Vision and Pattern Recognition 2, 60-65, 2005. https://doi.org/10.1109/CVPR.2005.38
J. Wang, J. Kong, Y. Lu, M. Qi, B. Zhang, A modified FCM algorithm for MRI brain image segmentation using both local and non-local spatial constraints, Computerized Medical Imaging and Graphics, 32(8), 685-698, 2008. https://doi.org/10.1016/j.compmedimag.2008.08.004
F. Zhao, L. Jiao, H. Liu, Fuzzy C-means clustering with non-local spatial information for noisy image segmentation, Frontiers Computer Science China 5(1), 45–56, 2011. https://doi.org/10.1007/s11704-010-0393-8
F. Zhao, Fuzzy clustering algorithms with self-tuning non-local spatial information for image segmentation, Neurocomputing 106, 115–125, 2013. https://doi.org/10.1016/j.neucom.2012.10.022
X. Zhang, Y. Sun, G. Wang, Q. Guo, C. Zhang, B. Chen, Improved fuzzy clustering algorithm with non-local information for image segmentation, Multimedia Tools Applications 76, 7869–7895, 2017. https://doi.org/10.1007/s11042-016-3399-x
J. Hu, Y. Pu, Y. Zhang, Y. Liu, J. Zhou, A Novel Nonlocal Means Denoising Method Using the DCT, in: Proceeding of International Conference on Image Processing, Computer Vision and Pattern Recognition, 2011, IPCV’11 Las Vegas, USA.
J. Hu, Y. Pu, X. Wu, Y. Zhang, J. Zhou, Improved DCT-based nonlocal means filter for MR images denoising, Computational and Mathematical Methods in Medicine 2012, 1–14. https://doi.org/10.1155/2012/232685
K. Singh, S. K. Ranade, C. Singh, Comparative performance analysis of various wavelet and nonlocal means based approaches for image denoising, International Journal for Light and Electron Optics (Optik), 131, 1–15, 2017. https://doi.org/10.1016/j.ijleo.2016.11.055
C. Singh, A. Bala. A transform-based fast fuzzy C-means approach for high brain MRI segmentation accuracy, Applied Soft Computing journal, 760 0–17, 2019. https://doi.org/10.1016/j.asoc.2018.12.005
R. C. Gonzalez, R. E. Woods, Digital Image Processing, 4th Edition, 2018, Pearson India Education Services Pvt. Ltd., Noida, India.
N. Pelekis, D. Iakovidis, E. E. Kotsifakos, I. Kopanakis, Fuzzy clustering of intuitionistic fuzzy data, International Journal of Business Intelligence and Data Mining 3(1), 45-65, 2008. https://doi.org/10.1504/IJBIDM.2008.017975
Z. Xu Z, J. Wu, Intuitionistic fuzzy C-means clustering algorithms, Journal of Systems engineering and Electronic, 21(4):580–590, 2010. https://doi.org/10.3969/j.issn.1004-4132.2010.04.009
H. Verma, R.K. Agrawal, A. Sharan. An improved intuitionistic fuzzy C-means clustering algorithm incorporating local information for brain image segmentation, Applied Soft Computing, 46, 543-557, 2016. https://doi.org/10.1016/j.asoc.2015.12.022
D. Kumar, R.K. Agrawal, H. Verma, Kernel intuitionistic fuzzy entropy clustering for MRI image segmentation, Soft Computing 24(6), 4003–4026, 2020. https://doi.org/10.1007/s00500-019-04169-y
H. Verma, A. Gupta, D. Kumar, A modified intuitionistic fuzzy C-means algorithm incorporating hesitation degree, Pattern Recognition Letters, 122, 45-52, 2019. https://doi.org/10.1016/j.patrec.2019.02.017
S. Zeng, Z. Wang, R. Haung, L. Chen, D. Feng, A study on multi-kernel intuitionistic fuzzy C-means clustering with multiple attributes, Neurocomputing 358, 59-71, 2019. https://doi.org/10.1016/j.neucom.2019.01.042
P. Kumar, R.K. Agrawal, D. Kumar, Fast and robust spatial fuzzy bounded k-plane clustering method for human brain MRI image segmentation, Applied Soft Computing, 133 109939, 1-5 2023. https://doi.org/10.1016/j.asoc.2022.109939.
A. Tahmasbi, F. Saki, S. B. Shokouhi, Classification of benign and malignant masses based on Zernike moments, Computers in Biology and Medicine, 41(8), 2011, 726–735, 2011. https://doi.org/10.1016/j.compbiomed.2011.06.009
A. Miri, S. Sharifian, S. Rashidi, M. Ghods, Medical image denoising based on 2D discrete cosine transform via ant colony optimization, Optik, 156, 938-948, 2018. https://doi.org/10.1016/j.ijleo.2017.12.074.
N. Pierazzo, J.M. Morel, and G. Facciolo, Multi-Scale DCT Denoising, Image Processing On Line, 7, 288–308, 2017. https://doi.org/10.5201/ipol.2017.201
C. Singh, A. Bala, A DCT-based local and non-local fuzzy C-means algorithm for segmentation of brain magnetic resonance images, Applied Soft Computing, 68, 447-457, 2018. https://doi.org/10.1016/j.asoc.2018.03.054
K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1), 87-96, 1986. https://doi.org/10.1016/S0165-0114(86)80034-3
L. P. Yaroslavsky, K. Egiazarian, and J. Astola, Transform domain image restoration methods: review, comparison, and interpretation, Proc. SPIE 4304, Nonlinear Image Processing and Pattern Analysis XII, (8 May 2001); https://doi.org/10.1117/12.424970
J. V Manjón, P. Coupé, A. Buades, D.L. Collins, M. Robles, New methods for MRI denoising based on sparseness and self-similarity, Medical Image Analysis, 16(1):18-27, 2012. https://doi.org/10.1016/j.media.2011.04.003
O. G. Guleryuz, Weighted Averaging for Denoising with over complete dictionaries, IEEE Transactions on Image Processing, 16(12), 2007, 3020 – 3034. https://doi.org/10.1109/TIP.2007.908078
M. Gong, Y. Liang, J. Shi, W. Ma, J. Ma, Fuzzy C-Means Clustering With Local Information and Kernel Metric for Image Segmentation, IEEE Transactions on Image Processing, 22(2), 573 – 584, 2013. https://doi.org/10.1109/TIP.2012.2219547
K.P Lin, A Novel Evolutionary Kernel Intuitionistic Fuzzy C -means Clustering Algorithm, IEEE Transactions on Fuzzy Systems, 22(5), 1074 – 1087, 2014. https://doi.org/10.1109/TFUZZ.2013.2280141
M. Sugeno, Fuzzy measures and fuzzy integrals—a survey, in: Readings in Fuzzy Sets for Intelligent Systems, 251–257, 1993. https://doi.org/10.1016/B978-1-4832-1450-4.50027-4
R.R. Yager, On the measure of fuzziness and negation part I: membership in the unit interval, International Journal of General Systems 5(4), 221–229, 1979. https://doi.org/10.1080/03081077908547452
R.R. Yager, On the measure of fuzziness and negation. II. Lattices, Information and Control, 44(3), 236–260, 1980. https://doi.org/10.1016/S0019-9958(80)90156-4
T. Chaira, A novel intuitionistic fuzzy C means clustering algorithm and its application to medical images, Applied. Soft Computing, 11, 1711-1717, 2011. https://doi.org/10.1016/j.asoc.2010.05.005
Online simulated Brainweb, http://www.bic.mni.mcgill.ca/brainweb/, 2016. [Online].
Internet Brain Segmentation Repository (IBSR), http://www.cma.mgh. harvard.edu/ibsr, 2015. [Online].
A.J. Worth, The internet brain segmentation repository (IBSR), 2016, 2009–01–15.
N. J. Tustison, J. C. Gee, Introducing Dice, Jaccard, and Other Label Overlap Measures To ITK, Insight J, 1–4, 2009. https://doi.org/10.54294/1vixgg
W. Wang, Y. Zhang, On fuzzy cluster validity indices, Fuzzy Sets and Systems, 158(19), 2095-2117, 2007. https://doi.org/10.1016/j.fss.2007.03.004
C. Singh, S. Kaur, K. Singh. Invariant moments and transform-based unbiased nonlocal means for denoising of MR images, Biomedical Signal Processing and Control, 30, 13-24, 2016. https://doi.org/10.1016/j.bspc.2016.05.007
Funding
The authors declare that no funds, grants, or other support were received during the preparation of this manuscript.
Author information
Authors and Affiliations
Contributions
All authors contributed to the study's conception and design. All authors read and approved the final manuscript. Conceptualization, Methodology, Software, Formal analysis, Writing-review & editing, and Supervision are performed by Chandan Singh. Sukhjeet Kaur performs conceptualization, Visualization, Validation, Writing-review & editing. Conceptualization, Software, Validation, Formal analysis, Data collection, and Writing the first original draft are performed by Dalvinder Kaur. Anu Bala performs conceptualization, Visualization, Validation, Writing-review & editing.
Corresponding author
Ethics declarations
Competing Interests
The authors have no relevant financial or non-financial interests to disclose.
Ethics Approval
The research does not involve any human or animal participant, their data, or biological material. No ethical approval is required. The datasets analyzed during the current study are BrainWeb and IBSR, which are publically available at https://www.bic.mni.mcgill.ca/brainweb/ and http://www.cma.mgh.Harvard.edu/ibsr , respectively.
Consent to Participate
The research does not involve any human individual participant. Consent to participate is not required.
Consent to Publish
The manuscript does not contain any person's data in any form. Consent to publish is not required.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Appendix
Appendix
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Singh, C., Ranade, S.K., Kaur, D. et al. An Intuitionistic Fuzzy C-Means and Local Information-Based DCT Filtering for Fast Brain MRI Segmentation. J Digit Imaging. Inform. med. (2024). https://doi.org/10.1007/s10278-023-00899-6
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10278-023-00899-6