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» Zigzag persistent homology and real-valued functions
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COMPGEOM
2009
ACM
14 years 5 months ago
Zigzag persistent homology and real-valued functions
We study the problem of computing zigzag persistence of a sequence of homology groups and study a particular sequence derived from the levelsets of a real-valued function on a top...
Gunnar Carlsson, Vin de Silva, Dmitriy Morozov
COMPGEOM
2011
ACM
13 years 2 months ago
Reeb graphs: approximation and persistence
Given a continuous function f : X → IR on a topological space X, its level set f−1 (a) changes continuously as the real value a changes. Consequently, the connected components...
Tamal K. Dey, Yusu Wang