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Aggregated distance functions and their application in image processing

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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.

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Notes

  1. Could be considered as functions whose codomain is \([0,\infty ]\) also.

  2. Or distance function.

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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.

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Authors and Affiliations

  1. Department of Fundamentals Sciences, Faculty of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovića 6, 21000, Novi Sad, Serbia

    Ljubo Nedović & Nebojša M. Ralević

  2. Higher Education Institution for Applied Studies, Novi Sad Business School, Vladimira Perića-Valtera 4, 21000, Novi Sad, Serbia

    Ivan Pavkov

Authors
  1. Ljubo Nedović
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  2. Nebojša M. Ralević
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  3. Ivan Pavkov
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Corresponding author

Correspondence to Ljubo Nedović.

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The authors declare that they have no conflict of interest.

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

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Communicated by V. Loia.

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Nedović, L., Ralević, N.M. & Pavkov, I. Aggregated distance functions and their application in image processing. Soft Comput 22, 4723–4739 (2018). https://doi.org/10.1007/s00500-017-2657-9

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  • DOI: https://doi.org/10.1007/s00500-017-2657-9

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