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Soft Computing

, Volume 22, Issue 14, pp 4723–4739 | Cite as

Aggregated distance functions and their application in image processing

  • Ljubo NedovićEmail author
  • Nebojša M. Ralević
  • Ivan Pavkov
Methodologies and Application
  • 77 Downloads

Abstract

In this paper, we propose a new method for construction of distance functions and metrics, by applying aggregation operators on some given distance functions and metrics. For some types and examples of aggregation operators, we analyze which properties of the given distance functions and metrics are preserved by such construction. We also present one possible application of the distance functions constructed in such way in image segmentation by fuzzy c-means algorithm. Other similar applications in image processing are also possible.

Keywords

Distance function Metric Aggregation operator Image clustering Fuzzy c-means algorithm 

Notes

Acknowledgements

First and second authors acknowledge the financial support of the Ministry of Education, Science and Technological Development of the Republic of Serbia, in the frame of Project applied under No. TR 34014. Second author acknowledge the financial support of the Ministry of Education, Science and Technological Development of the Republic of Serbia, in the frame of Project applied under No. TR 174009.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  • Ljubo Nedović
    • 1
    Email author
  • Nebojša M. Ralević
    • 1
  • Ivan Pavkov
    • 2
  1. 1.Department of Fundamentals Sciences, Faculty of Technical SciencesUniversity of Novi SadNovi SadSerbia
  2. 2.Higher Education Institution for Applied StudiesNovi Sad Business SchoolNovi SadSerbia

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