Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
CVGIP: Graphical Models and Image Processing
A new local property of strong n-surfaces
Pattern Recognition Letters
Polyhedral representation and adjacency graph in n-dimensional digital images
Computer Vision and Image Understanding
Polyhedra generation from lattice points
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Determining the components of the complement of a digital (n-1)-manifold in Zn
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
A Digital Lighting Function for Strong 26-Surfaces
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
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We introduce the notion of digital n-pseudomanifold and digital n-weakmanifold in (n+1)-digital image, in the context of (2n, 3n-1)- adjacency, and prove the digital version of the Jordan-Brouwer separation theorem for those classes. To accomplish this objective, we construct a polyhedral representation of the n-digital image, based on cubical complex decomposition. This enables us to translate some results from polyhedral topology into the digital space. Our main result extends the class of "thin" objects that are defined locally and verifies the Jordan-Brouwer separation theorem.