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arXiv · 1804.04740

Persistent Homology and Euler Integral Transforms

Robert Ghrist·Rachel Levanger·Huy Mai
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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.

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Robert Ghrist, Rachel Levanger, Huy Mai. 2018-04-12. Persistent Homology and Euler Integral Transforms. https://arxiv.org/abs/1804.04740

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