Box Filtration: Box Filtration

We define a new framework that unifies the filtration and the mapper approaches from topological data analysis, and present efficient algorithms to compute it. Termed the box filtration of a point cloud data (PCD), we grow boxes (hyperrectangles) that are not necessarily centered at each point (in p...

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Bibliographic Details
Published in:Journal of applied and computational topology 2025-12, Vol.9 (4), Article 23
Main Authors: Alvarado, Enrique, Gupta, Prashant, Krishnamoorthy, Bala
Format: Article
Language:English
Subjects:
Algebraic Topology
Boxes
Computational Science and Engineering
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
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