CORR
2010
Springer
13 years 1 months ago
2010
Springer
The present lack of a stable method to compare persistent homology groups with torsion is a relevant problem in current research about Persistent Homology and its applications in P...
CORR
2010
Springer
13 years 4 months ago
2010
Springer
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
SGP
2004
13 years 7 months ago
2004
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...
CAIP
2007
Springer
13 years 8 months ago
2007
Springer
Abstract. This paper presents a new hybrid split-and-merge image segmentation method based on computational geometry and topology using persistent homology. The algorithm uses edge...
COCOON
2010
Springer
13 years 9 months ago
2010
Springer
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...
COMPGEOM
2004
ACM
13 years 10 months ago
2004
ACM
We show that the persistent homology of a filtered ddimensional simplicial complex is simply the standard homology of a particular graded module over a polynomial ring. Our analy...
MOBIHOC
2008
ACM
14 years 4 months ago
2008
ACM
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...