Discrete Combinatorial Surfaces
Graphical Models and Image Processing
Dimensional properties of graphs and digital spaces
Journal of Mathematical Imaging and Vision - Special issue on topology and geometry in computer vision
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
Topology-Preserving Deletion of 1's from 2-, 3- and 4-Dimensional Binary Images
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
New Notions for Discrete Topology
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
On recent trends in discrete geometry in computer science
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Object Discretization in Higher Dimensions
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Tesselations by Connection in Orders
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Surface Digitizations by Dilations Which Are Tunnel-Free
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Discretization in 2D and 3D Orders
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Milena: Write Generic Morphological Algorithms Once, Run on Many Kinds of Images
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
A unified topological framework for digital imaging
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Equivalence between regular n-G-maps and n-surfaces
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Digital Imaging: A Unified Topological Framework
Journal of Mathematical Imaging and Vision
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In the framework known as digital topology, two different adjacency relations are used for structuring the discrete space Zn.In this paper, we propose a model for digital topology based on the notion of order and discrete topology. We "validate" our model by considering the two fundamental notions of surface and simple point. At last, we give the different possible configurations that may appear in 2-and 3- dimensional surfaces in Z4 which correspond to our model.