# Generation of fuzzy mathematical morphologies.

• Volume: 8, Issue: 1, page 31-46
• ISSN: 1134-5632

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## Abstract

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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 implication and inclusion grade operators, including as particular case, other ones existing in related literature. In the definition of fuzzy erosion and dilation we use several fuzzy implications (Annexe A, Table of fuzzy implications), the paper includes a study on their practical effects on digital image processing. We also present some graphic examples of erosion and dilation with three different structuring elements B(i,j)=1, B(i,j)=0.7, B(i,j)=0.4, i,j ∈ {1,2,3} and various fuzzy implications.

## How to cite

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Burillo López, Pedro J., Frago Paños, Noé, and Fuentes González, Ramón. "Generation of fuzzy mathematical morphologies.." Mathware and Soft Computing 8.1 (2001): 31-46. <http://eudml.org/doc/39187>.

@article{BurilloLópez2001,
abstract = {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 implication and inclusion grade operators, including as particular case, other ones existing in related literature. In the definition of fuzzy erosion and dilation we use several fuzzy implications (Annexe A, Table of fuzzy implications), the paper includes a study on their practical effects on digital image processing. We also present some graphic examples of erosion and dilation with three different structuring elements B(i,j)=1, B(i,j)=0.7, B(i,j)=0.4, i,j ∈ \{1,2,3\} and various fuzzy implications.},
author = {Burillo López, Pedro J., Frago Paños, Noé, Fuentes González, Ramón},
journal = {Mathware and Soft Computing},
keywords = {Morfología funcional; Conjuntos difusos; Operadores; Procesamiento de imágenes; grey-level images; morphological operations; fuzzy implication; digital image processing; erosion; dilation},
language = {eng},
number = {1},
pages = {31-46},
title = {Generation of fuzzy mathematical morphologies.},
url = {http://eudml.org/doc/39187},
volume = {8},
year = {2001},
}

TY - JOUR
AU - Burillo López, Pedro J.
AU - Frago Paños, Noé
AU - Fuentes González, Ramón
TI - Generation of fuzzy mathematical morphologies.
JO - Mathware and Soft Computing
PY - 2001
VL - 8
IS - 1
SP - 31
EP - 46
AB - 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 implication and inclusion grade operators, including as particular case, other ones existing in related literature. In the definition of fuzzy erosion and dilation we use several fuzzy implications (Annexe A, Table of fuzzy implications), the paper includes a study on their practical effects on digital image processing. We also present some graphic examples of erosion and dilation with three different structuring elements B(i,j)=1, B(i,j)=0.7, B(i,j)=0.4, i,j ∈ {1,2,3} and various fuzzy implications.
LA - eng
KW - Morfología funcional; Conjuntos difusos; Operadores; Procesamiento de imágenes; grey-level images; morphological operations; fuzzy implication; digital image processing; erosion; dilation
UR - http://eudml.org/doc/39187
ER -

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