期刊
DISCRETE & COMPUTATIONAL GEOMETRY
卷 50, 期 2, 页码 330-353出版社
SPRINGER
DOI: 10.1007/s00454-013-9529-6
关键词
Computational topology; Discrete Morse theory; Persistent homology
资金
- NSF [DMS-0915019, CBI-0835621]
- DARPA
- AFOSR
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0915019] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1125174, 1248071] Funding Source: National Science Foundation
We introduce an efficient preprocessing algorithm to reduce the number of cells in a filtered cell complex while preserving its persistent homology groups. The technique is based on an extension of combinatorial Morse theory from complexes to filtrations.
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