(Universitat Politècnica de Catalunya, 2001) Burillo López, Pedro; Frago Paños, Noé Natalio; Fuentes González, Ramón; Automática y Computación; Automatika eta Konputazioa
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.
