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CORR
2010
Springer
96views Education» more  CORR 2010»
13 years 8 months ago
Stable comparison of multidimensional persistent homology groups with torsion
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...
Patrizio Frosini
CORR
2010
Springer
115views Education» more  CORR 2010»
13 years 11 months ago
Optimal topological simplification of discrete functions on surfaces
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...
Ulrich Bauer, Carsten Lange, Max Wardetzky
SGP
2004
14 years 1 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,...
CAIP
2007
Springer
170views Image Analysis» more  CAIP 2007»
14 years 3 months ago
Image Segmentation Using Topological Persistence
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...
David Letscher, Jason Fritts
COCOON
2010
Springer
14 years 4 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
COMPGEOM
2004
ACM
14 years 4 months ago
Computing persistent homology
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...
Afra Zomorodian, Gunnar Carlsson
MOBIHOC
2008
ACM
14 years 11 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