Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
Topological segmentation of discrete surfaces
International Journal of Computer Vision
Discrete Combinatorial Surfaces
Graphical Models and Image Processing
Some Topological Properties of Surfaces in Z3
Journal of Mathematical Imaging and Vision
Weak lighting functions and strong 26-surfaces
Theoretical Computer Science
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
Border and Surface Tracing - Theoretical Foundations
IEEE Transactions on Pattern Analysis and Machine Intelligence
The equivalence between two definitions of digital surfaces
Information Sciences: an International Journal
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
Three-Dimensional Digital Planes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalized simple surface points
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
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By the use of certain discrete plates in the role of polygonal faces we mimic the definition of a combinatorial surface to produce, for each adjacency pair (k,k@?)(6,6), k,k@?@?{6,18,26}, a new family S"k"k"@? of discrete surfaces, termed (k,k@?)-surfaces, in the grid Z^3 that strictly contains several well-known families of surfaces, such as the strong and simplicity surfaces, as well as other objects considered as surfaces in the literature. Moreover, the number of possible configurations in the 26-neighbourhood of a (26,6)-surface voxel is estimated to rise up to 10,580. In addition, we show that S"k"k"@? is the largest set of discrete surfaces that can be defined within the framework for Digital Topology in (Ayala et al., 2002).