AN ALGEBRAIC TOPOLOGICAL METHOD FOR FEATURE IDENTIFICATION

ERIK CARLSSON, GUNNAR CARLSSON, VIN DE SILVA
2006 International journal of computational geometry and applications  
This article surveys recent work of Carlsson and collaborators on applications of computational algebraic topology to problems of feature detection and shape recognition in high-dimensional data. The primary mathematical tool considered is a homology theory for point-cloud data sets-persistent homology-and a novel representation of this algebraic characterizationbarcodes. We sketch an application of these techniques to the classification of natural images.
doi:10.1142/s021819590600204x fatcat:l32fdktzqjcxxa7alwc55exnhe