Critical Points to Determine Persistence Homology

16 May 2018Charmin AsirimathJayampathy RatnayakeChathuranga Weeraddana

Computation of the simplicial complexes of a large point cloud often relies on extracting a sample, to reduce the associated computational burden. The study considers sampling critical points of a Morse function associated to a point cloud, to approximate the Vietoris-Rips complex or the witness complex and compute persistence homology... (read more)

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