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SGP
2004
13 years 7 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,...
CRV
2009
IEEE
156views Robotics» more  CRV 2009»
13 years 11 months ago
A Bayesian Algorithm for Reading 1D Barcodes
The 1D barcode is a ubiquitous labeling technology, with symbologies such as UPC used to label approximately 99% of all packaged goods in the US. It would be very convenient for c...
Ender Tekin, James Coughlan
CG
2004
Springer
13 years 4 months ago
A barcode shape descriptor for curve point cloud data
In this paper, we present a complete computational pipeline for extracting a compact shape descriptor for curve point cloud data. Our shape descriptor, called a barcode, is based ...
Anne D. Collins, Afra Zomorodian, Gunnar Carlsson,...
ISBI
2011
IEEE
12 years 8 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...
COMPGEOM
2008
ACM
13 years 6 months ago
Towards persistence-based reconstruction in euclidean spaces
Manifold reconstruction has been extensively studied for the last decade or so, especially in two and three dimensions. Recent advances in higher dimensions have led to new method...
Frédéric Chazal, Steve Oudot