Name
Abstract | ||
|---|---|---|
Abstract Topological invariants are extremely useful in many applications related to digital imaging and geometric modeling, and homology is a classical one, which has not yet been fully explored in image applications. We present an algorithm that computes the whole homology of an object of arbitrary dimension: Betti numbers, torsion coefficients and generators. Effective implementation,of this algorithm,has been realized in order to perform,experimentations. Results on classical shapes,in algebraic topology,and on discrete objects are presented,and discussed. r,2005 Elsevier Ltd. All rights reserved. Keywords: Topological invariant; Shape invariant; Homology,groups; Image analysis |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1007/978-3-540-31965-8_19 | Computers & Graphics |
Keywords | Field | DocType |
Topological invariant,Shape invariant,Homology groups,Image analysis | Combinatorics,Singular homology,Morse homology,Excision theorem,Mayer–Vietoris sequence,Cellular homology,Relative homology,Homology (mathematics),Mathematics,Moore space (algebraic topology) | Journal |
Volume | Issue | ISSN |
30 | 1 | 0097-8493 |
ISBN | Citations | PageRank |
3-540-25513-3 | 15 | 1.27 |
References | Authors | |
13 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Samuel Peltier | 1 | 77 | 10.05 |
| Sylvie Alayrangues | 2 | 23 | 3.47 |
| Laurent Fuchs | 3 | 59 | 8.82 |
| Jacques-olivier Lachaud | 4 | 573 | 47.55 |