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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Bezdek, J.C., Ehrlich, R., Full, W.: FCM: the fuzzy c-means clustering algorithm. Comput. Geosci. 10(2), 191–203 (1984)
Deza, M.M., Deza, E.: Encyclopedia of Distances. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-30958-8
Gregori, V., Morillas, S., Sapena, A.: Examples of fuzzy metrics and applications. Fuzzy Sets Syst. 170(1), 95–111 (2011)
Klement, E.P., Mesiar, R., Pap, E.: Triangular Norms, vol. 8 (2000)
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
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
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
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
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”.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-030-85626-7_83
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-85625-0
Online ISBN: 978-3-030-85626-7
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)