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» A Topological Method of Surface Representation
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CVPR
2010
IEEE
14 years 6 months ago
A Novel Riemannian Framework for Shape Analysis of 3D Objects
In this paper we introduce a novel Riemannian framework for shape analysis of parameterized surfaces. We derive a distance function between any two surfaces that is invariant to r...
Sebastian Kurtek, Eric Klassen, Anuj Srivastava, Z...
ICCV
2003
IEEE
15 years 2 days ago
Surface Reconstruction by Integrating 3D and 2D Data of Multiple Views
Surface representation is needed for almost all modeling and visualization applications, but unfortunately, 3D data from a passive vision system are often insufficient for a tradi...
Maxime Lhuillier, Long Quan
ISVD
2010
IEEE
13 years 8 months ago
Alpha Shape Topology of the Cosmic Web
—We study the topology of the Megaparsec Cosmic Web on the basis of the Alpha Shapes of the galaxy distribution. The simplicial complexes of the alpha shapes are used to determin...
Rien van de Weygaert, Erwin Platen, Gert Vegter, B...
JMIV
1998
130views more  JMIV 1998»
13 years 9 months ago
Topological Numbers and Singularities in Scalar Images: Scale-Space Evolution Properties
Singular points of scalar images in any dimensions are classified by a topological number. This number takes integer values and can efficiently be computed as a surface integral ...
Stiliyan Kalitzin, Bart M. ter Haar Romeny, Alfons...
SMI
2007
IEEE
164views Image Analysis» more  SMI 2007»
14 years 4 months ago
Topology driven 3D mesh hierarchical segmentation
In this paper, we propose to address the semanticoriented 3D mesh hierarchical segmentation problem, using enhanced topological skeletons [18]. This high level information drives ...
Julien Tierny, Jean-Philippe Vandeborre, Mohamed D...