Determining homology of an unknown space from a sample

M Brun, B García Pascual, LM Salbu - European Journal of Mathematics, 2023 - Springer
The homology of an unknown subspace of Euclidean space can be determined from the
intrinsic Čech complex of a sample of points in the subspace, without reference to the …

Geometric reconstruction and persistence methods

B Garcia Pascual - 2020 - bora.uib.no
In the present work we reconstruct the homotopy type of an unknown Euclidean subspace
from a known sample of data. We carry out such reconstruction through generalized Čech …