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» Persistent Intersection Homology
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149
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COMPGEOM
2011
ACM
14 years 1 months ago
Zigzag persistent homology in matrix multiplication time
We present a new algorithm for computing zigzag persistent homology, an algebraic structure which encodes changes to homology groups of a simplicial complex over a sequence of sim...
Nikola Milosavljevic, Dmitriy Morozov, Primoz Skra...
98
Voted
COMPGEOM
2011
ACM
14 years 1 months ago
An output-sensitive algorithm for persistent homology
In this paper, we present the first output-sensitive algorithm to compute the persistence diagram of a filtered simplicial complex. For any Γ > 0, it returns only those homo...
Chao Chen, Michael Kerber
MOBIHOC
2008
ACM
15 years 9 months ago
Using persistent homology to recover spatial information from encounter traces
In order to better understand human and animal mobility and its potential effects on Mobile Ad-Hoc networks and Delay-Tolerant Networks, many researchers have conducted experiment...
Brenton D. Walker
ISBI
2011
IEEE
14 years 1 months ago
Discriminative persistent homology of brain networks
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...
Hyekyoung Lee, Moo K. Chung, Hyejin Kang, Bung-Nyu...
TVCG
2010
162views more  TVCG 2010»
14 years 7 months ago
Computing Robustness and Persistence for Images
—We are interested in 3-dimensional images given as arrays of voxels with intensity values. Extending these values to a continuous function, we study the robustness of homology c...
Paul Bendich, Herbert Edelsbrunner, Michael Kerber