Name
Title | ||
|---|---|---|
Discrete Topology of (An*) Optimal Sampling Grids. Interest in Image Processing and Visualization |
Abstract | ||
|---|---|---|
A formal definition of a combinatorial topology is presented in this paper for the discrete N-dimensional space defined by the An* lattice. The use of this grid instead of the classical n is based on two arguments:It is the optimal sampling grid in the sense of Shannon's sampling theorem in 2 and 3 dimensions,It induces the simplest discrete topology definition because its dual is a K-simplex.Their interest in image processing and in the medical imaging field is presented with some examples. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s10851-005-2030-y | Journal of Mathematical Imaging and Vision |
Keywords | Field | DocType |
discrete topology,multidimensional optimal sampling,compact grids,medical imaging | Digital topology,Topology,Weak topology,Mathematical optimization,General topology,Sampling (statistics),Extension topology,Nyquist–Shannon sampling theorem,Combinatorial topology,Mathematics,Discrete space | Journal |
Volume | Issue | ISSN |
23 | 3 | 0924-9907 |
Citations | PageRank | References |
10 | 0.59 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chafiaâ Hamitouche | 1 | 49 | 7.42 |
| Luis Ibáñez | 2 | 90 | 13.94 |
| C Roux | 3 | 64 | 17.47 |