Skip to main content

Estimation of Optimal Global Threshold Based on Statistical Change-Point Detection and a New Thresholding Performance Criteria

  • Conference paper
  • First Online:
Transactions on Engineering Technologies (IMECS 2017)

Included in the following conference series:

  • 586 Accesses

Abstract

Global thresholding of gray-level image is a method of selecting an optimal gray-value that partition it into two mutually exclusive regions called background and foreground (object). The aim of this paper is to interpret the problem of optimal global threshold estimation in the terminology of statistical change-point detection (CPD). An important advantage of this approach is that it does not assume any prior statistical distribution of background or object classes. Further, this method is less influenced by the presence of outliers due to our judicious derivation of a robust criterion function depending on Kullback-Leibler (KL) divergence measure. Experimental results manifest the efficacy of proposed algorithm compared to other popular methods available for global image thresholding. In this paper, we also propose a new criterion for performance evaluation of thresholding algorithms. This performance criterion does not depend on any ground truth image. This performance criterion is used to compare the results of proposed thresholding algorithm with most cited global thresholding method found in the literature.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. M. Sezgin, B. Sankur, Survey over image thresholding techniques and quantitative performance evaluation. J. Electr. Imag. 13(1), 146–165 (2004)

    Article  Google Scholar 

  2. T.W. Ridler, S. Calvard, Picture thresholding using an iterative selection method. IEEE Trans. Syst. Man Cybern. SMC-8, 630–632 (1978)

    Google Scholar 

  3. A. Rosenfeld, P. De la Torre, Histogram concavity analysis as an aid in threshold selection. IEEE Trans. Syst. Man Cybern. SMC-13, 231–235 (1993)

    Google Scholar 

  4. M.I. Sezan, A Peak detection algorithm and its application to histogram-based image data reduction. Graph. Models Image Process. 29, 47–59 (1985)

    Article  Google Scholar 

  5. D.M. Tsai, A fast thresholding selection procedure for multimodal and unimodal histograms. Pattern Recogn. Lett. 16, 653–666 (1995)

    Article  Google Scholar 

  6. A. Pikaz, A. Averbuch, Digital image thresholding based on topological stable state. Pattern Recogn. 29, 829–843 (1996)

    Article  Google Scholar 

  7. N. Otsu, A threshold selection method from gray level histograms. IEEE Trans. Syst. Man Cybern. SMC-9, 62–66 (1979)

    Google Scholar 

  8. J. Kittler, J. Illingworth, Minimum error thresholding. Pattern Recogn. 19, 41–47 (1986)

    Article  Google Scholar 

  9. J. Xue, D.M. Titterington, t-tests, F-tests and Otsu’s Methods for image thresholding. IEEE Trans. Image Process. 20(8), 2392–2396 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  10. N.R. Pal, S.K. Pal, A review on image segmentation techniques. Pattern Recogn. 26(9), 1277–1294 (1993)

    Article  Google Scholar 

  11. P.K. Sahoo, S. Soltani, A.K.C. Wong, Y.C. Chen, A survey of thresholding techniques. Comp. Vis. Graph. Image Process. 41(2), 233–260 (1988)

    Google Scholar 

  12. T. Kurita, N. Otsu, N. Abdelmalek, Maximum likelihood thresholding based on population mixture models. Pattern Recogn. 25, 1231–1240 (1992)

    Article  Google Scholar 

  13. J.N. Kapur, P.K. Sahoo, A.K.C. Wong, A new method for gray-level picture thresholding using the entropy of the histogram. Graph. Models Image Process. 29, 273–285 (1985)

    Article  Google Scholar 

  14. A.S. Abutaleb, Automatic thresholding of gray-level pictures using two-dimensional entropy. Comp. Vis. Graph. Image Process. 47, 22–32 (1989)

    Article  Google Scholar 

  15. A.D. Brink, Thresholding of digital images using two-dimensional entropies. Pattern Recogn. 25, 803–808 (1992)

    Article  Google Scholar 

  16. P.K. Sahoo, C. Wilkins, J. Yeager, Threshold selection using Renyi’s entropy. Pattern Recogn. 30, 71–84 (1997)

    Article  MATH  Google Scholar 

  17. P.K. Sahoo, G. Arora, Image thresholding using two-dimensional Tsallis-Havrda-Charvat entropy. Pattern Recogn. Lett. 1999 27, 520–528 (2006)

    Article  Google Scholar 

  18. H.D. Cheng, Y.H. Chen, Fuzzy partition of two-dimensional histogram and its application to thresholding. Pattern Recogn. 32, 825–843 (1999)

    Article  Google Scholar 

  19. C.A. Murthy, S.K. Pal, Fuzzy thresholding: a mathematical framework, bound functions and weighted moving average technique. Pattern Recogn. Lett. 11, 197–206 (1990)

    Article  MATH  Google Scholar 

  20. C.V. Jawahar, P.K. Biswas, A.K. Ray, Investigations on fuzzy thresholding based on fuzzy clustering. Pattern Recogn. 30(10), 1605–1613 (1997)

    Article  MATH  Google Scholar 

  21. H. Tizhoosh, Image thresholding using type II fuzzy sets. Pattern Recogn. 38, 2363–2372 (2005)

    Article  MATH  Google Scholar 

  22. Y. Bazi, L. Bruzzone, F. Melgani, Image thresholding based on the EM algorithm and the generalized Gaussian distribution. Pattern Recogn. 40, 619–634 (2007)

    Article  MATH  Google Scholar 

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

    Article  MATH  Google Scholar 

  24. H.V. Poor, O. Hadjiliadis, Quickest Detection (Cambridge University Press, New York, 2009)

    MATH  Google Scholar 

  25. Î’. E. Brodsky, B. S. Darkhovsky, Nonparametric methods in change point problems, in Mathematics and Its Applications, vol. 243 (Kluwer Academic Publishers, Dordrecht/ Boston/London, 1993)

    Google Scholar 

  26. J. Chen, A.K. Gupta, Parametric statistical change point analysis, with applications to genetics, medicine, and finance, 2nd edn. (Birkhäuser, Boston, 2012)

    Google Scholar 

  27. L. Pardo, Statistical Inference Based on Divergence Measures (Chapman & Hall/CRC, 2006), p. 233

    Google Scholar 

  28. Y. Wang, Generalized information theory: a review and outlook. Inform. Tech. J. 10(3), 461–469 (2011)

    Article  Google Scholar 

  29. J. Lin, Divergence measures based on Shannon entropy. IEEE Trans. Inform. Theor. 37(1), 145–151 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  30. S. Choi, S. Cha, C.C. Tappert, A survey of binary similarity and distance. Meas. Syst. Cybern. Inf. 8(1), 43–48 (2010)

    Google Scholar 

  31. F. Zhao, Y. Yang, W. Zhao, Adaptive clustering algorithm based on max-min distance and bayesian decision theory. IAENG Int. J. Comp. Sci. IJCS 44(2), 24 May 2017

    Google Scholar 

  32. Z. Wang, A.C. Bovik, H.R. Sheikh, E.P. Simoncelli, Image quality assessment: from error visibility to structural similarity. IEEE Trans. Image Process. 13(4), 600–612 (2004)

    Google Scholar 

  33. R.K. Chatterjee, A. Kar, Global image thresholding based on change-point detection, in Proceedings of the International MultiConference of Engineers and Computer Scientists 2017. Lecture Notes in Engineering and Computer Science (Hong Kong, 15–17 Mar 2017), pp. 434–438

    Google Scholar 

  34. E. Pekalska, R.P.W. Duin, The dissimilarity representation for pattern recognition-foundations and applications, in Series in Machine Perception and Artificial Intelligence, vol. 64, (World Scientific Publishing Co. Pte. Ltd., 2005), pp. 215–222

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rohit Kamal Chatterjee .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Chatterjee, R.K., Kar, A. (2018). Estimation of Optimal Global Threshold Based on Statistical Change-Point Detection and a New Thresholding Performance Criteria. In: Ao, SI., Kim, H., Castillo, O., Chan, AS., Katagiri, H. (eds) Transactions on Engineering Technologies. IMECS 2017. Springer, Singapore. https://doi.org/10.1007/978-981-10-7488-2_21

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-7488-2_21

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-7487-5

  • Online ISBN: 978-981-10-7488-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics