Persistent Homology and Euler Integral Transforms
Algebraic Topology
2018-06-15 v2
Abstract
The Euler calculus -- an integral calculus based on Euler characteristic as a valuation on constructible functions -- is shown to be an incisive tool for answering questions about injectivity and invertibility of recent transforms based on persistent homology for shape characterization.
Cite
@article{arxiv.1804.04740,
title = {Persistent Homology and Euler Integral Transforms},
author = {Robert Ghrist and Rachel Levanger and Huy Mai},
journal= {arXiv preprint arXiv:1804.04740},
year = {2018}
}