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Color Image Segmentation Using Distance Functions Based on Aggregation of Pixels Colors

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Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation (INFUS 2021)

Abstract

This paper considers image segmentation relied on aggregated distance function using either aggregation of only distance functions or distance functions which are also and fuzzy metrics. In image segmentation algorithms, distance functions compare either two pixels or pixel with segments, and may be used to make decision regarding belongingness of image pixels. Choice of suitable distance function within the segmentation criterion is based on information fusion process. Application of the appropriate aggregation function enables to adjust the segmentation criteria according to intuitively expected decision. Aggregation function is applied on distance functions representing the basic criteria relevant for segmentation. In this paper, the fuzzy c-means clustering algorithm is used for image segmentation and experimental verification of used methodology for such a distance function construction. The quality of the performed segmentation with proposed distance functions is compared with the segmentation quality obtained by using the standard Euclidean metric.

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References

  1. Bezdek, J.C., Ehrlich, R., Full, W.: FCM: the fuzzy c-means clustering algorithm. Comput. Geosci. 10(2), 191–203 (1984)

    Article  Google Scholar 

  2. Deza, M.M., Deza, E.: Encyclopedia of Distances. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-30958-8

  3. Gregori, V., Morillas, S., Sapena, A.: Examples of fuzzy metrics and applications. Fuzzy Sets Syst. 170(1), 95–111 (2011)

    Article  MathSciNet  Google Scholar 

  4. Klement, E.P., Mesiar, R., Pap, E.: Triangular Norms, vol. 8 (2000)

    Google Scholar 

  5. Martin, D., Fowlkes, C., Tal, D., Malik, J.: A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics. In: Proceedings Eighth IEEE International Conference on Computer Vision, ICCV 2001, vol. 2, pp. 416–423, July 2001

    Google Scholar 

  6. Milosavljević, N.S., Ralević, N.M.: Fuzzy metaheuristic algorithm for copy - move forgery detection in image. In: Lukić, T., Barneva, R.P., Brimkov, V.E., Čomić, L., Sladoje, N. (eds.) IWCIA 2020. LNCS, vol. 12148, pp. 273–281. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-51002-2_20

    Chapter  Google Scholar 

  7. Nedović, L., Ralević, N.M., Pavkov, I.: Aggregated distance functions and their application in image processing. Soft Comput. 22(14), 4723–4739 (2017). https://doi.org/10.1007/s00500-017-2657-9

    Article  MATH  Google Scholar 

  8. Ralević, N.M., Karaklić, D., Pištinjat, N.: Fuzzy metric and its applications in removing the image noise. Soft Comput. 23(22), 12049–12061 (2019). https://doi.org/10.1007/s00500-019-03762-5

    Article  MATH  Google Scholar 

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Acknowledgements

The authors have been supported by the Ministry of Education, Sciences and Technological Developments of the Republic of Serbia through the project no. 451-03-68/2020-14/200156: “Innovative scientific and artistic research from the FTS (activity) domain”.

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Correspondence to Nebojša Ralević .

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Ralević, N., Nedović, L., Krstanović, L., Ilić, V., Dragić, Ð. (2022). Color Image Segmentation Using Distance Functions Based on Aggregation of Pixels Colors. In: Kahraman, C., Cebi, S., Cevik Onar, S., Oztaysi, B., Tolga, A.C., Sari, I.U. (eds) Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation. INFUS 2021. Lecture Notes in Networks and Systems, vol 307. Springer, Cham. https://doi.org/10.1007/978-3-030-85626-7_83

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