Discrete analytical hyperplanes
Graphical Models and Image Processing
3D scan-conversion algorithms for voxel-based graphics
I3D '86 Proceedings of the 1986 workshop on Interactive 3D graphics
Object discretizations in higher dimensions
Pattern Recognition Letters
Theoretical Computer Science
3D Line Voxelization and Connectivity Control
IEEE Computer Graphics and Applications
Discrete linear objects in dimension n: the standard model
Graphical Models - Special issue: Discrete topology and geometry for image and object representation
Algorithm for computer control of a digital plotter
IBM Systems Journal
Generalized functionality for arithmetic discrete planes
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Offset Approach to Defining 3D Digital Lines
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Minimal offsets that guarantee maximal or minimal connectivity of digital curves in nD
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
An arithmetic and combinatorial approach to three-dimensional discrete lines
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Connectedness of offset digitizations in higher dimensions
CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
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The present paper deals with discrete lines in the 3-dimensional space. In particular, we focus on the minimal 0-connected set of closest integer points to a Euclidean line. We propose a definition which leads to geometric, arithmetic and algorithmic characterizations of naive discrete lines in the 3-dimensional space.