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Grayscale Level Multiconnectivity

  • Ulisses Braga-Neto
Conference paper
Part of the Computational Imaging and Vision book series (CIVI, volume 30)

Abstract

In [5], 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 [10]. 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.

Keywords

Connectivity Grayscale Images Reconstruction Mathematical Morphology Complete Lattice Scale-Space 

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Copyright information

© Springer 2005

Authors and Affiliations

  • Ulisses Braga-Neto
    • 1
  1. 1.Laboratório de Virologia e Terapia Experimental, Centro de Pesquisas Aggeu Magalhães - CPqAM/FiocruzCidade UniversitdáriaRecife, PEBrazil

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