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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Braga-Neto, U. (2005). Grayscale Level Multiconnectivity. In: Ronse, C., Najman, L., Decencière, E. (eds) Mathematical Morphology: 40 Years On. Computational Imaging and Vision, vol 30. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3443-1_13
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DOI: https://doi.org/10.1007/1-4020-3443-1_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3442-8
Online ISBN: 978-1-4020-3443-5
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