Critical connectedness of thin arithmetical discrete planes
V Berthé, D Jamet, T Jolivet, X Provençal - International Conference on …, 2013 - Springer
V Berthé, D Jamet, T Jolivet, X Provençal
International Conference on Discrete Geometry for Computer Imagery, 2013•SpringerThe critical thickness of an arithmetical discrete plane refers to the infimum thickness that
preserves its 2-connectedness. This infimum thickness can be computed thanks to a
multidimensional continued fraction algorithm, namely the fully subtractive algorithm. We
provide a characterization of the discrete planes with critical thickness that contain the origin
and that are 2-connected.
preserves its 2-connectedness. This infimum thickness can be computed thanks to a
multidimensional continued fraction algorithm, namely the fully subtractive algorithm. We
provide a characterization of the discrete planes with critical thickness that contain the origin
and that are 2-connected.
Abstract
The critical thickness of an arithmetical discrete plane refers to the infimum thickness that preserves its 2-connectedness. This infimum thickness can be computed thanks to a multidimensional continued fraction algorithm, namely the fully subtractive algorithm. We provide a characterization of the discrete planes with critical thickness that contain the origin and that are 2-connected.
Springer