Skip to main content
Log in

A novel image segmentation approach based on neutrosophic c-means clustering and indeterminacy filtering

  • New Trends in data pre-processing methods for signal and image classification
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

This paper presents a novel image segmentation algorithm based on neutrosophic c-means clustering and indeterminacy filtering method. Firstly, the image is transformed into neutrosophic set domain. Then, a new filter, indeterminacy filter is designed according to the indeterminacy value on the neutrosophic image, and the neighborhood information is utilized to remove the indeterminacy in the spatial neighborhood. Neutrosophic c-means clustering is then used to cluster the pixels into different groups, which has advantages to describe the indeterminacy in the intensity. The indeterminacy filter is employed again to remove the indeterminacy in the intensity. Finally, the segmentation results are obtained according to the refined membership in the clustering after indeterminacy filtering operation. A variety of experiments are performed to evaluate the performance of the proposed method, and a newly published method neutrosophic similarity clustering (NSC) segmentation algorithm is utilized to compare with the proposed method quantitatively. The experimental results show that the proposed algorithm has better performances in quantitatively and qualitatively.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Pal NR, Pal SK (1993) A review on image segmentation techniques. Pattern Recogn 26(9):1277–1294

    Article  Google Scholar 

  2. Gonzalez RC, Woods RE (2002) Digital image processing, 2nd edn. Prentice Hall, Upper Saddle River

    Google Scholar 

  3. Pal SK, Rosenfeld A (1988) Image enhancement and thresholding by optimization of fuzzy compactness. Pattern Recogn Lett 7(2):77–86

    Article  MATH  Google Scholar 

  4. Guo Y, Cheng H-D (2009) New neutrosophic approach to image segmentation. Pattern Recogn 42(5):587–595

    Article  MATH  Google Scholar 

  5. Smarandache F (2005) A unifying field in logics neutrosophic logic. Neutrosophy, neutrosophic set, neutrosophic probability. American Research Press, NewYork

    MATH  Google Scholar 

  6. Akhtar N, Agarwal N, Burjwal A (2014) K-mean algorithm for image segmentation using neutrosophy. In: 2014 International conference on advances in computing, communications and informatics (ICACCI), New Delhi, pp 2417–2421 September 2014

  7. Cheng H, Guo Y, Zhang Y (2011) A novel image segmentation approach based on neutrosophic set and improved fuzzy c-means algorithm. N Math Nat Comput 7(01):155–171

    Article  MATH  Google Scholar 

  8. Zhang M, Zhang L, Cheng H (2010) A neutrosophic approach to image segmentation based on watershed method. Signal Process 90(5):1510–1517

    Article  MATH  Google Scholar 

  9. Hanbay K, Talu MF (2014) Segmentation of SAR images using improved artificial bee colony algorithm and neutrosophic set. Appl Soft Comput 21:433–443

    Article  Google Scholar 

  10. Karabatak E, Guo Y, Sengur A (2013) Modified neutrosophic approach to color image segmentation. J Electron Imaging 22(1):013005

    Article  Google Scholar 

  11. Guo Y, Sengur A (2013) A novel color image segmentation approach based on neutrosophic set and modified fuzzy c-means. Circuits Syst Signal Process 32(4):1699–1723

    Article  MathSciNet  Google Scholar 

  12. Sengur A, Guo Y (2011) Color texture image segmentation based on neutrosophic set and wavelet transformation. Comput Vis Image Underst 115(8):1134–1144

    Article  Google Scholar 

  13. Mathew JM, Simon P (2014) Color texture image segmentation based on neutrosophic set and nonsubsampled contourlet transformation. Applied algorithms. In: Gupta P, Zaroliagis C (eds) Proceedings of the first international conference, ICAA 2014, Kolkata, India, January 13–15, 2014. Springer International Publishing, Cham, pp 164–173

    Google Scholar 

  14. Yu B, Niu Z, Wang L (2013) Mean shift based clustering of neutrosophic domain for unsupervised constructions detection. Opt Int J Light Electron Opt 124(21):4697–4706

    Article  Google Scholar 

  15. Zhang L, Zhang M, Cheng HD (2012) Color image segmentation based on neutrosophy. Opt Eng 51(3):037009-1–037009-11

    Article  Google Scholar 

  16. Guo Y, Şengür A (2013) A novel image segmentation algorithm based on neutrosophic filtering and level set. Neutrosophic Sets Syst 1:46–49

    Google Scholar 

  17. Guo Y, Şengür A, Tian JW (2015) A novel breast ultrasound image segmentation algorithm based on neutrosophic similarity score and level set. Computer methods and programs in biomedicine, vol. (in press)

  18. Guo Y, Sengur A (2015) NCM: neutrosophic c-means clustering algorithm. Pattern Recogn 48(8):2710–2724

    Article  Google Scholar 

  19. Guo Y, Şengür A (2014) A novel image segmentation algorithm based on neutrosophic similarity clustering. Appl Soft Comput 25:391–398

    Article  Google Scholar 

  20. Yasnoff WA, Mui JK, Bacus JW (1977) Error measures for scene segmentation. Pattern Recogn 9(4):217–231

    Article  Google Scholar 

  21. Pratt WK (1978) Digital image processing. Wiley, Hoboken, pp 429–432

    Google Scholar 

  22. Wang S, Chung F-L, Xiong F (2008) A novel image thresholding method based on Parzen window estimate. Pattern Recogn 41(1):117–129

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yanhui Guo.

Ethics declarations

Conflict of interest

The authors declare that they have no conflicts of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Guo, Y., Xia, R., Şengür, A. et al. A novel image segmentation approach based on neutrosophic c-means clustering and indeterminacy filtering. Neural Comput & Applic 28, 3009–3019 (2017). https://doi.org/10.1007/s00521-016-2441-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-016-2441-2

Keywords

Navigation