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Fuzzy Mathematical Morphology and Derived Spatial Relationships
2000The joint importance of mathematical morphology in image processing and of fuzzy sets for representing imprecisely defined image objects has led to an increased interest in fuzzy mathematical morphology. In this chapter, we first review the main definitions of fuzzy mathematical morphology operators and show that the most important properties of ...
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Application of fuzzy mathematical morphology for pattern classification
1998In this paper, we present a new approach to unsupervised pattern classification, based on fuzzy morphology. The different modes associated to each cluster are detected by means of a fuzzy morphological transformation applied to a membership function defined from the mode concavity properties.
Sandrine Turpin-Dhilly +1 more
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Scene Analysis Using Morphological Mathematics and Fuzzy Logic
2014Owing to compound textural features, intensity inhomogeneity, image layers, and variations of statistics inherent, the segmenting of complicated images into areas of similarity for scene analysis is a challenging task. In this work, a morphological active contour is developed to increase efficiency of current active contour schemes and a fuzzy ...
Victoria Lynn Fox +2 more
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Mathematical morphology and spatial reasoning: fuzzy and bipolar setting
2021Summary: This paper summarizes the mathematical aspects of fuzzy and bipolar mathematical morphology and shows how morphological operators can be applied to define spatial relations, and then used for spatial reasoning. Fuzzy sets are useful both at representation level and at reasoning level, and contribute to establish links between various areas of ...
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Application of Fuzzy Mathematical Morphology for Unsupervised Color Pixels Classification
2000In this paper, we present a new color image segmentation algorithm which is based on fuzzy mathematical morphology. After a color pixel projection into an attribute space, segmentation consists of detecting the different modes associated with homogeneous regions.
Gillet, A +3 more
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Fuzzy Bipolar Mathematical Morphology: A General Algebraic Setting
2011Bipolar information is an important component in information processing, to handle both positive information (e.g. preferences) and negative information (e.g. constraints) in an asymmetric way. In this paper, a general algebraic framework is proposed to handle such information using mathematical morphology operators, leading to results that apply to ...
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Road extraction based on fuzzy logic and mathematical morphology from pan-sharpened ikonos images
Photogrammetric Record, 2006Ali Mohammadzadeh +2 more
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THE FUNDAMENTALS OF FUZZY MATHEMATICAL MORPHOLOGY PART 1: BASIC CONCEPTS
International Journal of General Systems, 1995Bernard De Baets, Etienne Kerre
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