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CORR
2010
Springer
65views Education» more  CORR 2010»
13 years 8 months ago
Uniqueness of models in persistent homology: the case of curves
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...
Patrizio Frosini, Claudia Landi
CORR
2010
Springer
96views Education» more  CORR 2010»
13 years 8 months ago
Stable comparison of multidimensional persistent homology groups with torsion
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...
Patrizio Frosini
COMPGEOM
2004
ACM
14 years 4 months ago
Computing persistent homology
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...
Afra Zomorodian, Gunnar Carlsson