729 search results - page 6 / 146 » Computing persistent homology |
CORR
2011
Springer
14 years 1 months ago
2011
Springer
Given a function f : X → R on a topological space, we consider the preimages of intervals and their homology groups and show how to read the ranks of these groups from the exten...
80
Voted
CORR
2010
Springer
14 years 7 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...
DCG
2010
14 years 8 months ago
2010
A new approach to algorithmic computation of the homology of spaces and maps is presented. The key point of the approach is a change in the representation of sets. The proposed rep...
ISBI
2011
IEEE
14 years 1 months ago
2011
IEEE
It is known that the brain network has small-world and scalefree topology, but the network structures drastically change depending on how to threshold a connectivity matrix. The e...
89
Voted
GBRPR
2007
Springer
15 years 3 months ago
2007
Springer
We introduce a method for computing homology groups and their generators of a 2D image, using a hierarchical structure i.e. irregular graph pyramid. Starting from an image, a hiera...