Skip to main content
Log in

Images thresholding using ISODATA technique with gamma distribution

  • Representation, Processing, Analysis, and Understanding of Images
  • Published:
Pattern Recognition and Image Analysis Aims and scope Submit manuscript

Abstract

Image segmentation is a fundamental step in many applications of image processing. Many image segmentation techniques exist based on different methods such as classification-based methods, edge-based methods, region-based methods, and hybrid methods. The principal approach of segmentation is based on thresholding (classification) that is related to thresholds estimation problem. The ISODATA (Iterative Self-Organizing Data Analysis Technique) method is one of the classification-based methods in image segmentation. We assumed that the data in images is modeled by Gamma distribution. The objective of this paper is to explain a new method that combines Gamma distribution with the technique of ISODATA. The algorithm has two phases: splitting using Gamma distribution then merging which are done based on some predefined parameters. Experimental results showed good segmentation for artificial and real images.

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.

Similar content being viewed by others

References

  1. R. C. Gonzalez and R. E. Woods, Digital Image Processing, 3rd ed. (Prentice Hall, 2008).

  2. A. El-Zaart, D. Ziou, S. Wang, and Q. Jiang, “Segmentation of SAR Images,” Pattern Recognition 35(3), 713–724 (2002).

    Article  MATH  Google Scholar 

  3. A. El-Zaart and D. Ziou, “Statistical Modeling of SAR Images,” Int. J. Remote Sensing 28(10), 2277–2294 (May, 2007).

    Article  Google Scholar 

  4. D. Ziou, N. Bouguila, and A. El-Zaart, “Finite Gamma Mixture Modeling Using Minimum Message Length Inference,” IEEE Transaction on Image Processing 30(3), 771–792 (Feb., 2009).

    Google Scholar 

  5. A. El-Zaart, A. Al-Mejrad, and A. Saad, “Segmentation of Mammography Images for Breast Cancer Detection,” in Proc. Kuala Lumpur Intern. Conf. on Biomedical Engineering (Kuala Lumpur, Sept. 2–4, 2004), pp. 225–228.

  6. R. Al-Attas and A. El-Zaart, “Minimum Cross Entropy Thresholding for Medical Images Gamma Distribution,” in Kuala Lumpur Intern. Conf. on Biomedical (Kuala Lumpur, Dec. 11–14, 2006).

  7. A. Al-Manea and A. El-Zaart, “Contrast Enhancement of MRI Images,” in Kuala Lumpur Intern. Conf. on Biomedical (Kuala Lumpur, Dec. 11–14, 2006).

  8. A. El-Zaart, “Unsupervised Learning Technique for Image Segmentation,” in Proc. First National Information Technology Symp. (Riyadh, Feb. 6–8, 2006), pp. 205–210.

  9. A. El-Zaart, “Expectation-Maximization Technique for Fibro-Glandular Discs Detection in Mammography Image,” in Proc. First National Information Technology Symp. (Riyadh, Feb. 6–8, 2006), pp. 268–275.

  10. A. Al-Saleh and A. El-Zaart, “Unsupervised Learning Technique for Skin Images Segmentation Using a Mixture of Beta Distributions,” in Proc. Kuala Lumpur Intern. Conf. on Biomedical (Kuala Lumpur, Dec. 11–14, 2006).

  11. R. J. Ferrari, R. M. Rangayyan, R. A. Borges, and A. F. Frere, “Segmentation of the Fibro-Glandular Disc in Mammograms Using Gaussian Mixture Modeling,” Med. Biol. Eng. Comput. 42, 378–387 (2004).

    Article  Google Scholar 

  12. I. Manakos, T. Schneider, and U. Ammer, “A Comparison between the ISODATA and the Recognition Classification Methods on Basis of Field Data,” Poster at the XIXth ISPRS Congr. (Amsterdam, 2000).

  13. H. Soltanian-Zadeh, P. D. Mitsias, M. M. Khalighi, M. Lu, H. B. Ebadian, J. R. Ewing, Q. Zhao, and S. C. Patel, “Relationships among ISODATA, DWI, MTT, and T2 Lesions in Stroke,” in Proc. 11th Intern. Soc. Magnetic Resonance Med. (Toronto, 2003).

  14. R. Salvador and J. San-Miguel-Ayanz, “The Effect of Histogram Discontinuities on Spectral Information and Non-Supervised Classifiers,” Intern. J. Remote Sensing 24, No. 1, 115–131 (2003).

    Article  Google Scholar 

  15. P. D. Mitsias, M. A. Jacobs, R. Hammond, M. Pasnoor, S. Santhakumar, N. I. Papamittsakis, et al., “Multiparametric MPI ISODATA Ischemic Lesion Analysis: Correlation with the Clinical Neurological Deficit and Single-Parameter MRI Techniques,” Stroke 33, 2839–2844 (2002).

    Article  Google Scholar 

  16. G. Ding, Q. Jian, L. Zhang, Z. Zhang, R. A. Knight, H. Soultanian-Zadeh, M. Lu, J. R. Ewing, L. Qingjiang, P. A. Whitton, and M. Chopp, “Multiparametric ISODATA Analysis of Embolic Stroke and rt-PA Intervention in Rat,” J. Neurolog. Sci. 223, 135–143 (2004).

    Article  Google Scholar 

  17. R. Duda, P. Hart, and D. Stork, Pattern Classification, 2nd ed. (John Wiley & Sons, New York, 2001).

    MATH  Google Scholar 

  18. B. S. Manjunath and R. Chellappa, “Unsupervised Texture Segmentation Using Markov Random Field Models,” IEEE Trans. Pattern Anal. Mach. Intell. 13, 478–482 (1991).

    Article  Google Scholar 

  19. A. Sbihi, A. Moussa, B. Benmiloud, and J.-G. Postaire, “A Markovian Approach to Unsupervised Multidimentional Pattern Classification,” in Data Analysis Classification Related Methods, Ed. by H. A. L. Kiers, J.-P. Rasson, P. J. F. Groenen, and M. Scheder (Springer, Berlin, 2000), pp. 247–254.

    Google Scholar 

  20. Peng-Yeng Yin, Multilevel Minimum Cross Entropy Threshold Selection Based on Particle Swarm Optimization. Applied Mathematics and Computation (Elsevier, 2006).

  21. C. H. Li and P. K. S. Tam, “An Iterative Algorithm for Minimum Cross Entropy Thresholding,” Pattern Recognition Lett. 19, 771–776 (1998).

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. El-Zaart.

Additional information

The article is published in the original.

Ali El-Zaart was a senior software developer at Department of Research and Development, Semiconductor Insight, Ottawa, Canada during 2000–2001. From 2001 to 2004, he was an assistant professor at the Department of Biomedical Technology, College of Applied Medical Sciences. Since 2004, he is an assistant professor at the Department of Computer Science, College of computer and information Sciences. He has published numerous articles and proceedings in the areas of image processing, remote sensing, and computer vision. He received a B.Sc. in computer science from the University of Lebanon; Beirut, Lebanon in 1990, M.Sc. degree in computer science from the University of Sherbrooke, Sherbrooke, Canada in 1996, and Ph.D. degree in computer science from the University of Sherbrooke, Sherbrooke, Canada in 2001. His research interests include image processing, pattern recognition, remote sensing, and computer vision.

Rights and permissions

Reprints and permissions

About this article

Cite this article

El-Zaart, A. Images thresholding using ISODATA technique with gamma distribution. Pattern Recognit. Image Anal. 20, 29–41 (2010). https://doi.org/10.1134/S1054661810010037

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1054661810010037

Keywords

Navigation