Linguistic Interpretation of Mathematical Morphology

Agustina Bouchet, Gustavo J. Meschino, Marcel Brun, Rafael Alejandro Espín Andrade, Virginia L. Ballarin · 2013

Mathematical Morphology is a theory based on geometry, algebra, topology and set theory, with strong application to digital image processing.This theory is characterized by two basic operators: dilation and erosion.In this work we redefine these operators based on compensatory fuzzy logic using a linguistic definition, compatible with previous definitions of Fuzzy Mathematical Morphology.A comparison to previous definitions is presented, assessing robustness against noise.

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