Cech homology for shape recognition in the presence of occlusions
| dc.creator | Di Fabio, Barbara | |
| dc.creator | Landi, Claudia | |
| dc.date | 2008-07-04 | |
| dc.date.accessioned | 2026-07-07T09:48:40Z | |
| dc.date.available | 2026-07-07T09:48:40Z | |
| dc.description | In Computer Vision the ability to recognize objects in the presence of occlusions is a necessary requirement for any shape representation method. In this paper we investigate how the size function of a shape changes when a portion of the shape is occluded by another shape. More precisely, considering a set $X=A\cup B$ and a measuring function $ϕ$ on $X$, we establish a condition so that $\ell_{(X,ϕ)=\ell_{(A,ϕ|_A)}+\ell_{(B,ϕ|_B)}-\ell_{(A\cap B,ϕ|_{A\cap B})}$. The main tool we use is the Mayer-Vietoris sequence of Čech homology groups. This result allows us to prove that size functions are able to detect partial matching between shapes by showing a common subset of cornerpoints. | |
| dc.description | 32 pages, 12 figures | |
| dc.identifier | https://arxiv.org/abs/0807.0796 | |
| dc.identifier | http://arxiv.org/abs/0807.0796 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164298 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55N05; 68U05 | |
| dc.title | Cech homology for shape recognition in the presence of occlusions | |
| dc.type | text |