Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
CVGIP: Graphical Models and Image Processing
Digital manifolds: an intuitive definition and some properties
SMA '93 Proceedings on the second ACM symposium on Solid modeling and applications
Minimal simple closed 18-surfaces and a topological preservation of 3D surfaces
Information Sciences: an International Journal
Connected sum of digital closed surfaces
Information Sciences: an International Journal
A new slotting method for 2D digital gear tooth surfaces
International Journal of Computer Applications in Technology
Curves, hypersurfaces, and good pairs of adjacency relations
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
How to find a khalimsky-continuous approximation of a real-valued function
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
A plate-based definition of discrete surfaces
Pattern Recognition Letters
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Digital surfaces deal with properties of surfaces in digital spaces. In the early 80's, researchers began to establish definitions for digital surfaces. Unlike surfaces in continuous spaces, digital surfaces have different characteristics. A general and intuitive definition for digital surfaces is still an open problem. This paper presents a proof of the equivalence of two digital surface definitions. One of the definitions was developed based on simple surface points given by Morgenthaler and Rosenfeld [1], and the second uses a parallel-move concept as given by direct adjacency [2,3]. A by-product of this proof of equivalence is that any simple surface point in a simple surface belongs to one of six types of simple surface points.