Name
Abstract | ||
|---|---|---|
In the framework of the arithmetic discrete geometry, a discrete object is provided with its own analytical definition corresponding to a discretization scheme It can thus be considered as the equivalent, in a discrete space, of a Euclidean object Linear objects, namely lines and hyperplanes, have been widely studied under this assumption and are now deeply understood This is not the case for discrete circles and hyperspheres for which no satisfactory definition exists In the present paper, we try to fill this gap Our main results are a general definition of discrete hyperspheres and the characterization of the k-minimal ones thanks to an arithmetic definition based on a non-constant thickness function To reach such topological properties, we link adjacency and separatingness with norms. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1007/11907350_36 | DGCI |
Keywords | Field | DocType |
general definition,linear object,own analytical definition,discrete object,satisfactory definition,discrete space,discrete hyperspheres,discrete circle,arithmetic definition,arithmetic discrete hyperspheres,arithmetic discrete geometry,discrete geometry | Discrete geometry,Discretization,Discrete mathematics,Computer science,Arithmetic,Euclidean space,Euclidean geometry,Hyperplane,Discrete system,Discrete space,Topological property | Conference |
Volume | ISSN | ISBN |
4245 | 0302-9743 | 3-540-47651-2 |
Citations | PageRank | References |
9 | 0.62 | 10 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Christophe Fiorio | 1 | 197 | 23.27 |
| Jean-Luc Toutant | 2 | 50 | 4.05 |