Hyperconnected Attribute Filters Based on k-Flat Zones

Viscous-Hyperconnected Attribute Filters: A First Algorithm

In this paper a hyperconnectivity class that tries to address the leakage problem typical of connected filters is used. It shows similarities with the theory of viscous lattices. A novel algorithm to perform attribute filtering of viscoushyperconnected components is proposed. First, the max-tree of the image eroded by a structuring element is built: it represents the hierarchy of the cores of t...

Flat zones filtering, connected operators, and filters by reconstruction

This correspondence deals with the notion of connected operators. Starting from the definition for operator acting on sets, it is shown how to extend it to operators acting on function. Typically, a connected operator acting on a function is a transformation that enlarges the partition of the space created by the flat zones of the functions. It is shown that from any connected operator acting o...

K-FLAT PROJECTIVE FUZZY QUANTALES

In this paper, we introduce the notion of {bf K}-flat projective fuzzy quantales, and give an elementary characterization in terms of a fuzzy binary relation on the fuzzy quantale. Moreover, we  prove that {bf K}-flat projective fuzzy quantales are precisely the coalgebras for a certain comonad on the category of fuzzy quantales. Finally, we present two special cases of {bf K} as examples.

Vector-Attribute Filters

Attribute-Space Connected Filters