729 search results - page 5 / 146 » Computing persistent homology |
FOCS
2007
IEEE
15 years 1 months ago
2007
IEEE
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...
71
Voted
CORR
2010
Springer
14 years 9 months ago
2010
Springer
Abstract. Persistent Topology studies topological features of shapes by analyzing the lower level sets of suitable functions, called filtering functions, and encoding the arising i...
COMPGEOM
2006
ACM
15 years 3 months ago
2006
ACM
Persistent homology is the mathematical core of recent work on shape, including reconstruction, recognition, and matching. Its pertinent information is encapsulated by a pairing o...
COMPGEOM
2007
ACM
15 years 1 months ago
2007
ACM
Persistent homology captures the topology of a filtration
COMPGEOM
2009
ACM
15 years 4 months ago
2009
ACM
Nonlinear dimensionality reduction (NLDR) algorithms such as Isomap, LLE and Laplacian Eigenmaps address the problem of representing high-dimensional nonlinear data in terms of lo...