On the topology of an arithmetic plane.
Theoretical Computer Science
The Euler characteristics of discrete objects and discrete quasi-objects
Computer Vision and Image Understanding
Recognizing arithmetic straight lines and planes
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
On the language of standard discrete planes and surfaces
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
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An object of interest is digitized if we acquire its 3-dimensional digital images by using techniques such as computerized tomographic imaging. For recognition or shape analysis of such digitized objects, we need the study of 3-dimensional digital geometry and topology. In this paper, we focus on one of the simplest geometric objects such as planes and study their geometric and topological properties which are expressed by using an algebraic method.