43 search results - page 6 / 9 » Persistent Intersection Homology |
IPMI
2009
Springer
14 years 8 months ago
2009
Springer
We present a novel framework for characterizing signals in images using techniques from computational algebraic topology. This technique is general enough for dealing with noisy mu...
FOCS
2000
IEEE
13 years 11 months ago
2000
IEEE
We formalize a notion of topological simplification within the framework of a filtration, which is the history of a growing complex. We classify a topological change that happens ...
FOCS
2007
IEEE
13 years 11 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...
SMI
2007
IEEE
14 years 1 months ago
2007
IEEE
In this paper, we introduce localized homology, a theory for finding local geometric descriptions for topological attributes. Given a space and a cover of subspaces, we construct...
COMPGEOM
2006
ACM
14 years 1 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...