Persistent Homology Analysis for Materials Research and Persistent Homology Software: HomCloud

Ippei Obayashi, Takenobu Nakamura, Yasuaki Hiraoka

Research output: Contribution to journalArticlepeer-review

Abstract

This paper introduces persistent homology, which is a powerful tool to characterize the shape of data using the mathematical concept of topology. We explain the fundamental idea of persistent homology from scratch using some examples. We also review some applications of persistent homology to materials researches and software for persistent homology data analysis. HomCloud, one of persistent homology software, is especially featured in this paper.

Original languageEnglish
Article number091013
Journaljournal of the physical society of japan
Volume91
Issue number9
DOIs
Publication statusPublished - Sep 15 2022

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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