搜索结果: 1-3 共查到“数学 persistent homology”相关记录3条 . 查询时间(0.046 秒)
Persistent Homology of Filtered Covers
persistent homology nerve lemma topological data analysis
2012/2/29
We prove an extension to the simplicial Nerve Lemma which establishes isomorphism of persistent homology groups, in the case where the covering spaces are filtered. While persistent homology is now wi...
Uniqueness of models in persistent homology: the case of curves
Persistent Betti numbers reflections matching distance
2011/2/28
We consider generic curves in R2, i.e. generic C1 functions f : S1 → R2.We analyze these curves through the persistent homology groups of a filtration induced on S1 by f. In particular, we consider th...
Stable comparison of multidimensional persistent homology groups with torsion
Multidimensional persistent homology shape comparison matching distance
2011/2/22
The present lack of a stable method to compare persistent homology groups with torsion
is a relevant problem in current research about Persistent Homology and its applications in Pattern Recognition.