Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Multidimensional digital boundaries
CVGIP: Graphical Models and Image Processing
Simple points, topological numbers and geodesic neighborhoods in cubic grids
Pattern Recognition Letters
Topology-preserving deformations of two-valued digital pictures
Graphical Models and Image Processing
Connectivity in Digital Pictures
Journal of the ACM (JACM)
Topology preservation within digital surfaces
Graphical Models
Geometry of Digital Spaces
Intersection number and topology preservation within digital surfaces
Theoretical Computer Science
Intersection Number of Paths Lying on a Digital Surface and a New Jordan Theorem
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
A concise characterization of 3D simple points
Discrete Applied Mathematics
Generic axiomatized digital surface-structures
Discrete Applied Mathematics - The 2001 international workshop on combinatorial image analysis (IWCIA 2001)
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We present a characterization of topology preservation within digital axiomatized digital surface structures (gads), a generic theoretical framework for digital topology introduced in [2]. This characterization is based on the digital fundamental group that has been classically used for that purpose. More briefly, we define here simple points within gads and give the meaning of the words: preserving the topology within gads.