Inferring local homology from sampled stratified spaces
Published
Journal Article
We study the reconstruction of a stratified space from a possibly noisy point sample. Specifically, we use the vineyard of the distance function restricted to a 1-parameter family of neighborhoods of a point to assess the local homology of the stratified space at that point. We prove the correctness of this assessment under the assumption of a sufficiently dense sample. We also give an algorithm that constructs the vineyard and makes the local assessment in time at most cubic in the size of the Delaunay triangulation of the point sample. © 2007 IEEE.
Full Text
Duke Authors
Cited Authors
- Bendice, P; Cohen-Steiner, D; Edelsbrunner, H; Harer, J; Morozov, D
Published Date
- December 1, 2007
Published In
Start / End Page
- 536 - 546
International Standard Serial Number (ISSN)
- 0272-5428
Digital Object Identifier (DOI)
- 10.1109/FOCS.2007.4389523
Citation Source
- Scopus