Overlap Functions-Based Fuzzy Mathematical Morphological Operators and Their Applications in Image Edge Extraction

As special aggregation functions, overlap functions have been widely used in the soft computing field. In this work, with the aid of overlap functions, two new groups of fuzzy mathematical morphology (FMM) operators were proposed and applied to image processing, and they obtained better results than...

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Vydané v:Fractal and fractional Ročník 7; číslo 6; s. 465
Hlavní autori: Zhang, Xiaohong, Li, Mengyuan, Liu, Hui
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Basel MDPI AG 01.06.2023
Predmet:
Algorithms
fuzzy mathematical morphology
Fuzzy sets
Group theory
Image acquisition
image edge extraction
Image processing
Image segmentation
Mathematical analysis
Mathematical morphology
Medical imaging equipment
Morphology
Operators (mathematics)
overlap function
Set theory
Soft computing
Video compression
ISSN:2504-3110, 2504-3110
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Abstract As special aggregation functions, overlap functions have been widely used in the soft computing field. In this work, with the aid of overlap functions, two new groups of fuzzy mathematical morphology (FMM) operators were proposed and applied to image processing, and they obtained better results than existing algorithms. First, based on overlap functions and structuring elements, the first group of new FMM operators (called OSFMM operators) was proposed, and their properties were systematically analyzed. With the implementation of OSFMM operators and the fuzzy C-means (FCM) algorithm, a new image edge extraction algorithm (called the OS-FCM algorithm) was proposed. Then, the second group of new FMM operators (called ORFMM operators) was proposed based on overlap functions and fuzzy relations. Another new image edge extraction algorithm (called OR-FCM algorithm) was proposed by using ORFMM operators and FCM algorithm. Finally, through the edge segmentation experiments of multiple standard images, the actual segmentation effects of the above-mentioned two algorithms and relevant algorithms were compared. The acquired results demonstrate that the image edge extraction algorithms proposed in this work can extract the complete edge of foreground objects on the basis of introducing the least noise.
AbstractList As special aggregation functions, overlap functions have been widely used in the soft computing field. In this work, with the aid of overlap functions, two new groups of fuzzy mathematical morphology (FMM) operators were proposed and applied to image processing, and they obtained better results than existing algorithms. First, based on overlap functions and structuring elements, the first group of new FMM operators (called OSFMM operators) was proposed, and their properties were systematically analyzed. With the implementation of OSFMM operators and the fuzzy C-means (FCM) algorithm, a new image edge extraction algorithm (called the OS-FCM algorithm) was proposed. Then, the second group of new FMM operators (called ORFMM operators) was proposed based on overlap functions and fuzzy relations. Another new image edge extraction algorithm (called OR-FCM algorithm) was proposed by using ORFMM operators and FCM algorithm. Finally, through the edge segmentation experiments of multiple standard images, the actual segmentation effects of the above-mentioned two algorithms and relevant algorithms were compared. The acquired results demonstrate that the image edge extraction algorithms proposed in this work can extract the complete edge of foreground objects on the basis of introducing the least noise.
Audience Academic
Author Liu, Hui
Zhang, Xiaohong
Li, Mengyuan
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  doi: 10.3390/axioms11060275
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Snippet As special aggregation functions, overlap functions have been widely used in the soft computing field. In this work, with the aid of overlap functions, two new...
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StartPage 465
SubjectTerms Algorithms
fuzzy mathematical morphology
Fuzzy sets
Group theory
Image acquisition
image edge extraction
Image processing
Image segmentation
Mathematical analysis
Mathematical morphology
Medical imaging equipment
Morphology
Operators (mathematics)
overlap function
Set theory
Soft computing
Video compression
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Title Overlap Functions-Based Fuzzy Mathematical Morphological Operators and Their Applications in Image Edge Extraction
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