Theoretical Foundations of Spatially-Variant Mathematical Morphology Part II: Gray-Level Images

@article{Bouaynaya2008TheoreticalFO,
  title={Theoretical Foundations of Spatially-Variant Mathematical Morphology Part II: Gray-Level Images},
  author={Nidhal Bouaynaya and Dan Schonfeld},
  journal={IEEE Transactions on Pattern Analysis and Machine Intelligence},
  year={2008},
  volume={30},
  pages={837-850}
}
In this paper, we develop a spatially-variant (SV) mathematical morphology theory for gray-level signals and images in the Euclidean space. The proposed theory preserves the geometrical concept of the structuring function, which provides the foundation of classical morphology and is essential in signal and image processing applications. We define the basic SV gray-level morphological operators (that is, SV gray-level erosion, dilation, opening, and closing) and investigate their properties. We… CONTINUE READING
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