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» A Topological Method of Surface Representation
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VIS
2003
IEEE
234views Visualization» more  VIS 2003»
14 years 10 months ago
Saddle Connectors - An Approach to Visualizing the Topological Skeleton of Complex 3D Vector Fields
One of the reasons that topological methods have a limited popularity for the visualization of complex 3D flow fields is the fact that such topological structures contain a number...
Hans-Christian Hege, Hans-Peter Seidel, Holger The...
IJCV
2000
102views more  IJCV 2000»
13 years 8 months ago
Morphable Surface Models
Abstract. We describe a novel automatic technique for finding a dense correspondence between a pair of n-dimensional surfaces with arbitrary topologies. This method employs a diffe...
Christian R. Shelton
MOC
2010
13 years 3 months ago
Optimizing the double description method for normal surface enumeration
Abstract. Many key algorithms in 3-manifold topology involve the enumeration of normal surfaces, which is based upon the double description method for finding the vertices of a con...
Benjamin A. Burton
CVGIP
2004
125views more  CVGIP 2004»
13 years 8 months ago
Efficient representation and extraction of 2-manifold isosurfaces using kd-trees
In this paper, we propose the utilization of a kd-tree based hierarchy as an implicit object representation. Compared to an octree, the kd-tree based hierarchy is superior in term...
Alexander Greß, Reinhard Klein
CCCG
2008
13 years 10 months ago
Computing Dehn Twists and Geometric Intersection Numbers in Polynomial Time
Simple curves on surfaces are often represented as sequences of intersections with a triangulation. However, there are much more succinct ways of representing simple curves used i...
Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic