Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Weak lighting functions and strong 26-surfaces
Theoretical Computer Science
Some topological properties of discrete surfaces
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
Local characterization of a maximum set of digital (26,6)-surfaces
Image and Vision Computing
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Universal spaces for (k, k)-surfaces
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
A maximum set of (26,6)-connected digital surfaces
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Local characterization of a maximum set of digital (26,6)-surfaces
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Generalized simple surface points
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
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The main goal of this paper is to prove a Digital Jordan-Brouwer Theorem and an Index Theorem for simplicity 26-surfaces. For this, we follow the approach to Digital Topology introduced in [2], and find a digital space such that the continuous analogue of each simplicity 26-surface is a combinatorial 2-manifold. Thus, the separation theorems quoted above turn out to be an immediate consequence of the general results obtained in [2] and [3] for arbitrary digital n-manifolds.