CORR
2010
Springer
13 years 2 months ago
2010
Springer
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 parti...
CORR
2010
Springer
13 years 2 months ago
2010
Springer
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 P...
COMPGEOM
2004
ACM
13 years 10 months ago
2004
ACM
We show that the persistent homology of a filtered ddimensional simplicial complex is simply the standard homology of a particular graded module over a polynomial ring. Our analy...