Fundamentals of surface voxelization
Graphical Models and Image Processing
Computer Processing of Line-Drawing Images
ACM Computing Surveys (CSUR)
Supercover of Straight Lines, Planes and Triangles
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
Digital Straight Line Segments
IEEE Transactions on Computers
Algorithm for computer control of a digital plotter
IBM Systems Journal
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
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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In the present paper, we propose a new definition of discrete parabolas, the so-called arithmetic discrete parabolas. We base our approach on a non-constant thickness function and characterized the 0-connected and 1-connected parabolas in terms of thickness function. This results extend the well-known characterization of the κ-connectedness of arithmetic discrete lines, depending on the norm || ||∞ and || ||1 of their normal vector.