Inferring local homology from sampled stratified spaces
Publication
, Journal Article
Bendice, P; Cohen-Steiner, D; Edelsbrunner, H; Harer, J; Morozov, D
Published in: Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS
December 1, 2007
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.
Duke Scholars
Published In
Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS
DOI
ISSN
0272-5428
Publication Date
December 1, 2007
Start / End Page
536 / 546
Citation
APA
Chicago
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MLA
NLM
Bendice, P., Cohen-Steiner, D., Edelsbrunner, H., Harer, J., & Morozov, D. (2007). Inferring local homology from sampled stratified spaces. Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS, 536–546. https://doi.org/10.1109/FOCS.2007.4389523
Bendice, P., D. Cohen-Steiner, H. Edelsbrunner, J. Harer, and D. Morozov. “Inferring local homology from sampled stratified spaces.” Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS, December 1, 2007, 536–46. https://doi.org/10.1109/FOCS.2007.4389523.
Bendice P, Cohen-Steiner D, Edelsbrunner H, Harer J, Morozov D. Inferring local homology from sampled stratified spaces. Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS. 2007 Dec 1;536–46.
Bendice, P., et al. “Inferring local homology from sampled stratified spaces.” Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS, Dec. 2007, pp. 536–46. Scopus, doi:10.1109/FOCS.2007.4389523.
Bendice P, Cohen-Steiner D, Edelsbrunner H, Harer J, Morozov D. Inferring local homology from sampled stratified spaces. Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS. 2007 Dec 1;536–546.
Published In
Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS
DOI
ISSN
0272-5428
Publication Date
December 1, 2007
Start / End Page
536 / 546