Neutrosophic Crisp Mathematical Morphology

Abstract

In this paper, we aim to apply the concepts of the
neutrosophic crisp sets and its operations to the classical
mathematical morphological operations, introducing what we
call "Neutrosophic Crisp Mathematical Morphology". Several operators are to be developed, including the neutrosophic
crisp dilation, the neutrosophic crisp erosion, the neutrosophic crisp opening and the neutrosophic crisp closing.
Moreover, we extend the definition of some morphological
filters using the neutrosophic crisp sets concept. For instance,
we introduce the neutrosophic crisp boundary extraction, the
neutrosophic crisp Top-hat and the neutrosophic crisp Bottom-hat filters.
The idea behind the new introduced operators and filters is to
act on the image in the neutrosophic crisp domain instead of
the spatial domain.