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» Computing persistent homology
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MOBIHOC
2008
ACM
14 years 5 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
3DPH
2009
145views Healthcare» more  3DPH 2009»
13 years 3 months ago
The Persistent Morse Complex Segmentation of a 3-Manifold
We describe an algorithm for segmenting three-dimensional medical imaging data modeled as a continuous function on a 3-manifold. It is related to watershed algorithms developed in ...
Herbert Edelsbrunner, John Harer
COCOON
2010
Springer
13 years 10 months ago
Tracking a Generator by Persistence
The persistent homology provides a mathematical tool to describe “features” in a principled manner. The persistence algorithm proposed by Edelsbrunner et al. [9] can compute n...
Oleksiy Busaryev, Tamal K. Dey, Yusu Wang
SGP
2004
13 years 8 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,...
COMPGEOM
2011
ACM
12 years 9 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