Discrete analytical hyperplanes
Graphical Models and Image Processing
Periodic graphs and connectivity of the rational digital hyperplanes
Theoretical Computer Science
Connectivity of 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
Minimal arithmetic thickness connecting discrete planes
Discrete Applied Mathematics
On the connectedness of rational arithmetic discrete hyperplanes
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Arithmetic discrete planes are quasicrystals
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Introduction to digital level layers
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
About thin arithmetic discrete planes
Theoretical Computer Science
Critical connectedness of thin arithmetical discrete planes
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
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While connected rational arithmetical discrete lines and connected rational arithmetical discrete planes are entirely characterized, only partial results exist for the irrational arithmetical discrete planes. In the present paper, we focus on the connectedness of irrational arithmetical discrete planes, namely the arithmetical discrete planes with a normal vector of which the coordinates are not Q-linear dependent. Given v ∈ R3, we compute the lower bound of the thicknesses 2-connecting the arithmetical discrete planes with normal vector v. In particular, we show how the translation parameter operates in the connectedness of the arithmetical discrete planes.