Lexicographic Optimal Homologous Chains and Applications to Point Cloud Triangulations
Lexicographic Optimal Homologous Chains and Applications to Point Cloud Triangulations
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Publisher
New York: Springer US
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English
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New York: Springer US
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Contents
This paper considers a particular case of the Optimal Homologous Chain Problem (OHCP) for integer modulo 2 coefficients, where optimality is meant as a minimal lexicographic order on chains induced by a total order on simplices. The matrix reduction algorithm used for persistent homology is used to derive polynomial algorithms solving this problem...
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Full title
Lexicographic Optimal Homologous Chains and Applications to Point Cloud Triangulations
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TN_cdi_hal_primary_oai_HAL_hal_03870128v1
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_03870128v1
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ISSN
0179-5376
E-ISSN
1432-0444
DOI
10.1007/s00454-022-00432-6
