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Sensitivity analysis for image represented by fuzzy function

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Abstract

The standard image representation can be considered as obsolete in image processing area since it was designed mainly to visualize images and not to support image processing algorithms. For that reason, seeking alternative image representations becomes an important issue. This paper focuses on images represented by means of fuzzy functions (so-called fuzzy images) and investigates its sensibility under arbitrary distortions. Then, it shows that this fuzzy representation is less sensitive to distortions than the raster image representation. Finally, it also shows the impact on a practical image processing task, where the fuzzy representation has achieved significantly better results.

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Notes

  1. imagecompression.info/test_images.

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Acknowledgements

This research was supported by the Project “LQ1602 IT4Innovations excellence in science.” We would like to thank unknown reviewer #1 who helps us to improve the paper quality by his/her comments.

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Authors and Affiliations

  1. Centre of Excellence IT4Innovations, Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30. dubna 22, Ostrava, Czech Republic

    Petr Hurtik & Martin Dyba

  2. Dept. Matematica Aplicada, University of Malaga, Avda. Cervantes, 2, 29071, Málaga, Spain

    Nicolás Madrid

Authors
  1. Petr Hurtik
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  2. Nicolás Madrid
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  3. Martin Dyba
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Correspondence to Petr Hurtik.

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Authors Petr Hurtik, Martin Dyba and Nicolás Madrid declare that they have no conflict of interest.

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Communicated by I. Perfilieva.

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Hurtik, P., Madrid, N. & Dyba, M. Sensitivity analysis for image represented by fuzzy function. Soft Comput 23, 1795–1807 (2019). https://doi.org/10.1007/s00500-018-3402-8

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