Name
Abstract | ||
|---|---|---|
A number of tasks in image processing and computer vision require the computation of certain topological characteristics of objects in a given image. In this paper, we introduce a new method based on the notion of the algebraic topology complex to compute the Euler number of a given object. First, we attach a cubical complex to the object of interest, then we associate an algebraic structure on which a number of simplifying operations preserving the topology but not necessarily the geometric nature of the complex are possible. This is a unifying dimension independent approach. We show that the Euler number can be obtained directly from the cubical structure or one can perform a collapsing operation that allows to reduce the given image to a lower dimension structure with equivalent topological properties. This reduced structure can be used in a further process, in particular, for the computation of the Euler number. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1016/S0031-3203(01)00238-2 | Pattern Recognition |
Keywords | Field | DocType |
Feature extraction,Algebraic topology,Cubical complex,Collapsing,Euler number | Discrete mathematics,Euler number,Algebraic topology,Pattern recognition,Algebra,Algebraic structure,Image processing,Feature extraction,Artificial intelligence,Mathematics,Computation | Journal |
Volume | Issue | ISSN |
35 | 12 | 0031-3203 |
Citations | PageRank | References |
11 | 0.80 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Djemel Ziou | 1 | 1395 | 99.40 |
| Madjid Allili | 2 | 46 | 8.64 |