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Interval-valued and intuitionistic fuzzy mathematical morphologies as special cases of L-fuzzy mathematical morphology [PDF]
Journal of Mathematical Imaging and Vision, 2011 Mathematical morphology (MM) offers a wide range of tools for image processing and computer vision. MM was originally conceived for the processing of binary images and later extended to gray-scale morphology.
Deschrijver, Glad +5 more
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Generation of fuzzy mathematical morphologies [PDF]
Mathware & soft computing, 2001 Fuzzy Mathematical Morphology aims to extend the binary morphological operators to grey-level images. In order to define the basic morphological operations fuzzy erosion, dilation, opening and closing, we introduce a general method based upon fuzzy ...
Burillo López, Pedro +2 more
core +6 more sources
Segmentation of Medical Images using Fuzzy Mathematical Morphology
Journal of Computer Science and Technology, 2007 Currently, Mathematical Morphology (MM) has become a powerful tool in Digital Image Processing (DIP). It allows processing images to enhance fuzzy areas, segment objects, detect edges and analyze structures. The techniques developed for binary images are
A. Bouchet +2 more
doaj +2 more sources
Neutrosophic Algebraic Mathematical Morphology [PDF]
Neutrosophic Sets and Systems, 2023 In this paper, we introduce and study the NeutroAlgebra structure and many of operations and properties of the mathematical morphology. This is a generalization of the operations of fuzzy and classical mathematical morphology.
A. A. Salama +4 more
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On Neutrosophic Crisp Sets and Neutrosophic Crisp Mathematical Morphology [PDF]
Neutrosophic Sets and Systems, 2021 In this paper, we analyze the basic algebraic operations of neutrosophic crisp sets and their properties, show that some operations of neutrosophic crisp sets with type 2 and type 3 are not closed by counter examples, and give some new operations.
Xiaohong Zhang, Mengyuan Li, Tao Lei
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Time Series Analysis by Fuzzy Logic Methods
Algorithms, 2023 The method of analyzing data known as Discrete Mathematical Analysis (DMA) incorporates fuzzy mathematics and logic. This paper focuses on applying DMA to study the morphology of time series by utilizing the language of fuzzy mathematics.
Sergey M. Agayan +4 more
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Fractal and Fractional, 2023 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 ...
Xiaohong Zhang, Mengyuan Li, Hui Liu
doaj +1 more source
Impulsive Noise Removal with an Adaptive Weighted Arithmetic Mean Operator for Any Noise Density
Applied Sciences, 2021 Many computer vision algorithms which are not robust to noise incorporate a noise removal stage in their workflow to avoid distortions in the final result. In the last decade, many filters for salt-and-pepper noise removal have been proposed.
Manuel González-Hidalgo +3 more
doaj +1 more source
IEEE Access, 2021 In this paper, the definition of three-dimensional generalized discrete fuzzy number (3-GDFN) is introduced based on the representation theorem of one-dimensional discrete fuzzy number and the similarity measure definition of two 3-GDFNs is given.
Zengtai Gong, Na Qin, Guicang Zhang
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Fuzzy soft mathematical morphology [PDF]
IEE Proceedings - Vision, Image, and Signal Processing, 1998 A new framework which extends the concepts of soft mathematical morphology into fuzzy sets is presented. Images can be considered as arrays of fuzzy singletons on the Cartesian grid. Based on this notion the definitions for the basic fuzzy soft morphological operations are derived.
A. Gasteratos +2 more
openaire +1 more source