Grayscale Level Multiconnectivity
In , a novel concept of connectivity for grayscale images was introduced, which is called grayscale level connectivity. In that framework, a grayscale image is connected if all its threshold sets below a given level are connected. It was shown that grayscale level connectivity defines a connection, in the sense introduced by Jean Serra in . In the present paper, we extend grayscale level connectivity to the case where different connectivities are used for different threshold sets, a concept we call grayscale level multiconnectivity. In particular, this leads to the definition of a new operator, called the multiconnected grayscale reconstruction operator. We show that grayscale level multiconnectivity defines a connection, provided that the connectivities used for the threshold sets obey a nesting condition. Multiconnected grayscale reconstruction is illustrated with an example of scale-space representation.
KeywordsConnectivity Grayscale Images Reconstruction Mathematical Morphology Complete Lattice Scale-Space
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