2023
DOI: 10.48550/arxiv.2303.03038
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A Topological Distance between Multi-fields based on Multi-Dimensional Persistence Diagrams

Abstract: The problem of computing topological distance between two scalar fields based on Reeb graphs or contour trees has been studied and applied successfully to various problems in topological shape matching, data analysis and visualization. However, generalizing such results for computing distance measures between two multi-fields based on their Reeb spaces is still in its infancy. Towards this, in the current paper we propose a technique to compute an effective distance measure between two multi-fields by computin… Show more

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