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

• DOI: 10.7566/jpsj.91.091013
• Publication Date: 2022-05-12T01:00:12Z
• Authors: Ippei Obayashi; Takenobu Nakamura; Yasuaki Hiraoka
• Keywords: Persistent Homology; Homology; Topological data analysis

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