Discrete analytical hyperplanes
Graphical Models and Image Processing
Palindromes and two-dimensional sturmian sequences
Journal of Automata, Languages and Combinatorics
Theoretical Computer Science
About local configurations in arithmetic planes
Theoretical Computer Science
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
Coexistence of Tricubes in Digital Naive Plane
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
Graceful Planes and Thin Tunnel-Free Meshes
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
Local Configurations of Digital Hyperplanes
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
Polyhedrization of the Boundary of a Voxel Object
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
(n, m)-Cubes and Farey Nets for Naive Planes Understanding
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
Recognition of Digital Naive Planes and Polyhedrization
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Recognizing arithmetic straight lines and planes
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Two-dimensional iterated morphisms and discrete planes
Theoretical Computer Science - Combinatorics of the discrete plane and tilings
On some applications of generalized functionality for arithmetic discrete planes
Image and Vision Computing
Characterization of the closest discrete approximation of a line in the 3-dimensional space
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
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The discrete plane β (a,b,c,μ,ω) is the set of integer points (x,y,z)∈ℤ satisfying 0 ≤ ax+by+cz + μ ω. In the case ω=max(|a|,|b|,|c|),the discrete plane is said naive and is well-known to be functional on one of the coordinate planes, that is, for any point of P of this coordinate plane, there exists a unique point in the discrete plane obtained by adding to P a third coordinate. Naive planes have been widely studied, see for instance [Rev91, DRR94, DR95, AAS97, VC97, Col02, BB02].