Gray-Level Image Transitions Driven by Tsallis Entropic Index

Gray-Level Image Transitions Driven by Tsallis Entropic Index

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Author(s)

Author(s): Amelia Carolina Sparavigna

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DOI: 10.18483/ijSci.621 359 902 16-25 Volume 4 - Feb 2015

Abstract

The maximum entropy principle is largely used in thresholding and segmentation of images. Among the several formulations of this principle, the most effectively applied is that based on Tsallis non-extensive entropy. Here, we discuss the role of its entropic index in determining the thresholds. When this index is spanning the interval (0,1), for some images, the values of thresholds can have large leaps. In this manner, we observe abrupt transitions in the appearance of corresponding bi-level or multi-level images. These gray-level image transitions are analogous to order or texture transitions observed in physical systems, transitions which are driven by the temperature or by other physical quantities.

Keywords

Tsallis Entropy, Image Processing, Image Segmentation, Image Thresholding, Texture Transitions, Medical Image Processing

References

  1. Tsallis, C. Possible generalization of Boltzmann-Gibbs statistics. Journal of Statistical Physics, 1988, 52, 479-487. http://dx.doi.org/10.1007/bf01016429
  2. Hentschel, H.G.E.; Procaccia, I. The infinite number of generalized dimensions of fractals and strange attractors. Physica D, 1983, 8, 435-444. http://dx.doi.org/10.1016/0167-2789(83)90235-x
  3. Halsley, T.C.; Jensen, M.H.; Kadanoff, L.P.; Procaccia, I.; Shraiman, B.I. Fractal measures and their singularities: the characterization of strange sets. Phys. Rev. A, 1986, 33, 1141-1151. http://dx.doi.org/10.1103/physreva.33.1141
  4. Sparavigna, A.C. Tsallis entropy in bi-level and multi-level image thresholding, International Journal of Sciences, 2015, 4, 40-49.
  5. Gull, S.F.; Skilling, J. Maximum entropy method in image processing. Communications, Radar and Signal Processing, IEE Proceedings F, 1984, 131, 646-659 http://dx.doi.org/10.1049/ip-f-1.1984.0099
  6. Djerou, L.; Khelil, N.; Dehimi, N.H.; Batouche, M. Automatic multi-level thresholding segmentation based on multi-objective optimization. Journal of Applied Computer Science & Mathematics, 2012, 13, 24-31.
  7. Sezgin, M.; Sankur, B. Survey over image thresholding techniques and quantitative performance evaluation. Journal of Electronic Imaging, 2004, 13, 146-165. http://dx.doi.org/10.1117/1.1631315
  8. Kapur, J.N.; Sahoo, P.K.; Wong, A.K.C. A new method for gray-level picture thresholding using the entropy of the histogram. Comput. Vision Graphics Image Process., 1985, 29, 273-285. http://dx.doi.org/10.1016/0734-189x(85)90125-2
  9. Portes de Albuquerque, M.; Esquef, I.A.; Gesualdi Mello, A.R.; Portes de Albuquerque, M. Image thresholding using Tsallis entropy. Pattern Recognition Letters, 2004, 25, 1059-1065. http://dx.doi.org/10.1016/j.patrec.2004.03.003
  10. Sparavigna, A; Mello, A; Montrucchio, B. Texture transitions in the liquid crystalline alkyloxybenzoic acid 6OBAC, Phase Transitions, 2006, 79, 293-303. http://dx.doi.org/10.1080/01411590600748132
  11. Montrucchio, B.; Sparavigna, A.; Strigazzi, A. A new image processing method for enhancing the detection sensitivity of smooth transitions in liquid crystals. Liquid crystals, 1998, 24, 841-852. http://dx.doi.org/10.1080/026782998206669
  12. Zhang, Y.; Wu, L. Optimal multi-level thresholding based on maximum Tsallis entropy via an artificial bee colony approach. Entropy, 2011, 13, 841-859. http://dx.doi.org/10.3390/e13040841
  13. Sathya, P.D.; Kayalvizhi, R. PSO-based Tsallis thresholding selection procedure for image segmentation. International Journal of Computer Applications, 2010, 5, 39-46. http://dx.doi.org/10.5120/903-1279
  14. Manikantan, K.; Arun, B.V.; Yaradoni, D.K.S. Optimal multilevel thresholds based on Tsallis entropy method using golden ratio particle swarm optimization for improved image segmentation. Procedia Engineering, 2012, 30, 364-371. http://dx.doi.org/10.1016/j.proeng.2012.01.873

Cite this Article:

International Journal of Sciences is Open Access Journal.
This article is licensed under a Creative Commons Attribution 4.0 International (CC BY 4.0) License.
Author(s) retain the copyrights of this article, though, publication rights are with Alkhaer Publications.

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