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CORR
2010
Springer
91views Education» more  CORR 2010»
13 years 4 months ago
Invariance properties of the multidimensional matching distance in Persistent Topology and Homology
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...
Andrea Cerri, Patrizio Frosini
SGP
2004
13 years 6 months ago
Persistence Barcodes for Shapes
In this paper, we initiate a study of shape description and classification via the application of persistent homology to tangential constructions on geometric objects. Our techniq...
Gunnar Carlsson, Afra Zomorodian, Anne D. Collins,...