165 search results - page 1 / 33 » The theory of multidimensional persistence |
ISAAC
2009
Springer
13 years 11 months ago
2009
Springer
Abstract. The theory of multidimensional persistence captures the topology of a multifiltration – a multiparameter family of increasing spaces. Multifiltrations arise naturally...
COMPGEOM
2007
ACM
13 years 9 months ago
2007
ACM
Persistent homology captures the topology of a filtration
CORR
2010
Springer
13 years 5 months ago
2010
Springer
Abstract. Persistent Topology studies topological features of shapes by analyzing the lower level sets of suitable functions, called filtering functions, and encoding the arising i...
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...
CORR
2008
Springer
13 years 5 months ago
2008
Springer
Some new results about multidimensional Topological Persistence are presented, proving that the discontinuity points of a k-dimensional size function are necessarily related to the...