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» Topology guaranteeing manifold reconstruction using distance...
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CVPR
2008
IEEE
14 years 1 months ago
Modeling the structure of multivariate manifolds: Shape maps
We propose a shape population metric that reflects the interdependencies between points observed in a set of examples. It provides a notion of topology for shape and appearance m...
Georg Langs, Nikos Paragios
JBCB
2010
123views more  JBCB 2010»
13 years 5 months ago
Characterizing the Space of interatomic Distance Distribution Functions Consistent with Solution Scattering Data
: Scattering of neutrons and x-rays from molecules in solution offers alternative approaches to the studying of a wide range of macromolecular structures in their solution state w...
Paritosh A. Kavathekar, Bruce A. Craig, Alan M. Fr...
FOCS
2007
IEEE
13 years 11 months ago
Inferring Local Homology from Sampled Stratified Spaces
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...
Paul Bendich, David Cohen-Steiner, Herbert Edelsbr...
COMPGEOM
2011
ACM
12 years 10 months ago
Persistence-based clustering in riemannian manifolds
We present a clustering scheme that combines a mode-seeking phase with a cluster merging phase in the corresponding density map. While mode detection is done by a standard graph-b...
Frédéric Chazal, Leonidas J. Guibas,...
VIS
2004
IEEE
143views Visualization» more  VIS 2004»
14 years 8 months ago
Rough Interface Reconstruction Using the Level Set Method
We present a new level set method for reconstructing interfaces from point aggregations. Although level-set-based methods are advantageous because they can handle complicated topo...
David Thompson, Raghu Machiraju, Yootai Kim