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» Topology guaranteeing manifold reconstruction using distance...
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CVPR
2008
IEEE
15 years 4 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»
14 years 8 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
15 years 1 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
14 years 1 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»
15 years 11 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