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The paper discusses the basic concepts of fuzzy analytic geometry, such as fuzzy point, fuzzy line, fuzzy curve and polygons in the plane, together with the concept of fuzzy distance. There are several different definitions of such concepts in the literature to date. In this paper, we will follow an approach based on the extension of existing concepts in the sharp case. In addition, we consider various fuzzy shape descriptors and their associated measures, such as area, perimeter or elongation, which can be considered in both the sharp and fuzzy approaches. The properties of the new descriptors and their applicability in object recognition and classification tasks are also discussed.

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Calculation of Descriptors of Fuzzy Geometric Objects

  • 会议论文

  • 发表日期：

    2025年

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  • Nebojša Ralević,
  • Vladimir Ilić,
  • Andrija Blesić,
  • Tatjana Došenović

摘要

The paper discusses the basic concepts of fuzzy analytic geometry, such as fuzzy point, fuzzy line, fuzzy curve and polygons in the plane, together with the concept of fuzzy distance. There are several different definitions of such concepts in the literature to date. In this paper, we will follow an approach based on the extension of existing concepts in the sharp case. In addition, we consider various fuzzy shape descriptors and their associated measures, such as area, perimeter or elongation, which can be considered in both the sharp and fuzzy approaches. The properties of the new descriptors and their applicability in object recognition and classification tasks are also discussed.