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Chapter and Conference Paper
A Digital Lighting Function for Strong 26-Surfaces
The goal of this paper is to generalize the notion of lighting function given in [3] in order to integrate strong 26-surfaces [5] into our framework for digital topology. In particular, the continuous analogue fo...
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Chapter and Conference Paper
Digital lighting functions
In this paper a notion of lighting function is introduced as an axiomatized formalization of the “face membership rules” suggested by Kovalevsky. These functions are defined in the context of the framework for...
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Chapter and Conference Paper
Determining the components of the complement of a Digital (n−1)-manifold in ℤn
The goal of this paper is to determine the components of the complement of digital manifolds in the standard cubical decomposition of Euclidean spaces for arbitrary dimensions. Our main result generalizes the ...