AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
PDF (23.9 MB)
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Improved fuzzy clustering for image segmentation based on a low-rank prior

School of Information and Electrical Engineering, LudongUniversity, Yantai 264025, China
Shandong Province Key Lab of Digital Media Technology, Shandong University of Finance and Economics, Jinan 250061, China
Show Author Information

Abstract

Image segmentation is a basic problem in medical image analysis and useful for disease diagnosis. However, the complexity of medical images makes image segmentation difficult. In recent decades, fuzzy clustering algorithms have been preferred due to their simplicity and efficiency. However, they are sensitive to noise. To solve this problem, many algorithms using non-local information have been proposed, which perform well but are inefficient. This paper proposes an improved fuzzy clustering algorithm utilizing non-local self-similarity and a low-rank prior for image segmentation. Firstly, cluster centers are initialized based on peak detection. Then, a pixel correlation model between corresponding pixels is constructed, and similar pixel sets are retrieved. To improve efficiency and robustness, the proposed algorithm uses a novel objective function combining non-local information and a low-rank prior. Experiments on synthetic images and medical images illustrate that the algorithm can improve efficiency greatly while achieving satisfactory results.

References

[1]
Liu, H.; Xu, J.; Wu, Y.; Guo, Q.; Ibragimov, B.; Xing, L. Learning deconvolutional deep neural network for high resolution medical image reconstruction. Information Sciences Vol. 468, 142-154, 2018.
[2]
Zhang, X. F.; Zhang, C. M.; Tang, W. J.; Wei, Z. W. Medical image segmentation using improved FCM. Science China Information Sciences Vol. 55, No. 5, 1052-1061, 2012.
[3]
Orduna, R.; Jurio, A.; Paternain, D.; Bustince, H.; Melo-Pinto, P.; Barrenechea, E. Segmentation of color images using a linguistic 2-tuples model. Information Sciences Vol. 258, 339-352, 2014.
[4]
Chaira, T. A novel intuitionistic fuzzy C means clustering algorithm and its application to medical images. Applied Soft Computing Vol. 11, No. 2, 1711-1717, 2011.
[5]
Verma, H.; Agrawal, R. K.; Sharan, A. An improved intuitionistic fuzzy C-means clustering algorithm incorporating local information for brain image segmentation. Applied Soft Computing Vol. 46, 543-557, 2016.
[6]
Zhang, X. F.; Guo, Q.; Sun, Y. J.; Liu, H.; Wang, G.; Su, Q. T.; Zhang, C. M. Patch-based fuzzy clustering for image segmentation. Soft Computing Vol. 23, No. 9, 3081-3093, 2019.
[7]
Ahmed, M. N.; Yamany, S. M.; Mohamed, N.; Farag, A. A.; Moriarty, T. A modified fuzzy C-means algorithm for bias field estimation and segmentation of MRI data. IEEE Transactions on Medical Imaging Vol. 21, No. 3, 193-199, 2002.
[8]
Krinidis, S.; Chatzis, V. A robust fuzzy local information C-means clustering algorithm. IEEE Transactions on Image Processing Vol. 19, No. 5, 1328-1337, 2010.
[9]
Zhang, X. F.; Sun, Y. J.; Wang, G.; Guo, Q.; Zhang, C. M.; Chen, B. J. Improved fuzzy clustering algorithm with non-local information for image segmentation. Multimedia Tools and Applications Vol. 76, No. 6, 7869-7895, 2017.
[10]
Cai, W. L.; Chen, S. C.; Zhang, D. Q. Fast and robust fuzzy C-means clustering algorithms incorporating local information for image segmentation. Pattern Recognition Vol. 40, No. 3, 825-838, 2007.
[11]
Zhang, F.; Li, J. J.; Liu, P. Q.; Fan, H. Computing knots by quadratic and cubic polynomial curves. Computational Visual Media Vol. 6, No. 4, 417-430, 2020.
[12]
Liu, X. X.; Zhang, Y. F.; Bao, F. X.; Shao, K.; Sun, Z. Y.; Zhang, C. M. Kernel-blending connection approximated by a neural network for image classification. Computational Visual Media Vol. 6, No. 4, 467-476, 2020.
[13]
Guo, Q.; Zhang, C. M.; Zhang, Y. F.; Liu, H. An efficient SVD-based method for image denoising. IEEE Transactions on Circuits and Systems for Video Technology Vol. 26, No. 5, 868-880, 2016.
[14]
Elad, M.; Aharon, M. Image denoising via sparse and redundant representations over learned dictionaries. IEEE Transactions on Image Processing Vol. 15, No. 12, 3736-3745, 2006.
[15]
Dabov, K.; Foi, A.; Katkovnik, V.; Egiazarian, K. Image denoising by sparse 3-D transform-domain collaborative filtering. IEEE Transactions on Image Processing Vol. 16, No. 8, 2080-2095, 2007.
[16]
Dong, W. S.; Lei, Z.; Shi, G. M.; Wu, X. L. Nonlocal back-projection for adaptive image enlargement. In: Proceedings of the 16th IEEE International Conference on Image Processing, 349-352, 2009.
[17]
Ma, D. Y.; Zhou, Y. F.; Xin, S. Q.; Wang, W. P. Convex and compact superpixels by edge-constrained centroidal power diagram. IEEE Transactions on Image Processing Vol. 30, 1825-1839, 2021.
[18]
Liu, H.; Guo, Q.; Wang, G. L.; Gupta, B. B.; Zhang, C. M. Medical image resolution enhancement for healthcare using nonlocal self-similarity and low-rank prior. Multimedia Tools and Applications Vol. 78, No. 7, 9033-9050, 2019.
[19]
Zhang, Y. X.; Li, X. M.; Gao, X. F.; Zhang, C. M. A simple algorithm of superpixel segmentation with boundary constraint. IEEE Transactions on Circuits and Systems for Video Technology Vol. 27, No. 7, 1502-1514, 2017.
[20]
Namburu, A.; Samay, S. K.; Edara, S. R. Soft fuzzy rough set-based MR brain image segmentation. Applied Soft Computing Vol. 54, 456-466, 2017.
[21]
Kim, G. R.; Kim, E. K.; Kim, S. J.; Ha, E. J.; Yoo, J.; Lee, H. S.; Hong, J. H.; Yoon, J. H.; Moon, H. J.; Kwak, J. Y. Evaluation of underlying lymphocytic thyroiditis with histogram analysis using grayscale ultrasound images. Journal of Ultrasound in Medicine Vol. 35, No. 3, 519-526, 2016.
[22]
Otsu, N. A threshold selection method from gray-level histograms. IEEE Transactions on Systems, Man, and Cybernetics Vol. 9, No. 1, 62-66, 1979.
[23]
Ben Ishak, A. A two-dimensional multilevel thresholding method for image segmentation. Applied Soft Computing Vol. 52, 306-322, 2017.
[24]
Liu, Y.; Cheng, M. M.; Hu, X. W.; Bian, J. W.; Zhang, L.; Bai, X.; Tang, J. Richer convolutional features for edge detection. IEEE Transactions on Pattern Analysis and Machine Intelligence Vol. 41, No. 8, 1939-1946, 2019.
[25]
Singh, C.; Bala, A. A DCT-based local and non-local fuzzy C-means algorithm for segmentation of brain magnetic resonance images. Applied Soft Computing Vol. 68, 447-457, 2018.
[26]
Ren, T. B.; Wang, H. H.; Feng, H. L.; Xu, C. S.; Liu, G. S.; Ding, P. Study on the improved fuzzy clustering algorithm and its application in brain image segmentation. Applied Soft Computing Vol. 81, 105503, 2019.
[27]
Pham, T. X.; Siarry, P.; Oulhadj, H. Integrating fuzzy entropy clustering with an improved PSO for MRI brain image segmentation. Applied Soft Computing Vol. 65, 230-242, 2018.
[28]
Guo, Q.; Gao, S. S.; Zhang, X. F.; Yin, Y. L.; Zhang, C. M. Patch-based image inpainting via two-stage low rank approximation. IEEE Transactions on Visualization and Computer Graphics Vol. 24, No. 6, 2023-2036, 2018.
[29]
Szilágyi, L. Lessons to learn from a mistaken optimiza-tion. Pattern Recognition Letters Vol. 36, 29-35, 2014.
[30]
Krinidis, S.; Chatzis, V. A robust fuzzy local information C-means clustering algorithm. IEEE Transactions on Image Processing Vol. 19, No. 5, 1328-1337, 2010.
[31]
Kwan, R. K. S.; Evans, A. C.; Pike, G. B. MRI simulation-based evaluation of image-processing and classification methods. IEEE Transactions on Medical Imaging Vol. 18, No. 11, 1085-1097, 1999.
Computational Visual Media
Pages 513-528
Cite this article:
Zhang X, Wang H, Zhang Y, et al. Improved fuzzy clustering for image segmentation based on a low-rank prior. Computational Visual Media, 2021, 7(4): 513-528. https://doi.org/10.1007/s41095-021-0239-3

899

Views

58

Downloads

20

Crossref

17

Web of Science

24

Scopus

0

CSCD

Altmetrics

Received: 26 February 2021
Accepted: 15 May 2021
Published: 05 August 2021
© The Author(s) 2021

This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduc-tion in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.

The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Other papers from this open access journal are available free of charge from http://www.springer.com/journal/41095. To submit a manuscript, please go to https://www. editorialmanager.com/cvmj.

Return