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SWAT
1998
Springer
110views Algorithms» more  SWAT 1998»
13 years 12 months ago
On the Number of Regular Vertices of the Union of Jordan Regions
Let C be a collection of n Jordan regions in the plane in general position, such that each pair of their boundaries intersect in at most s points, where s is a constant. Let U den...
Boris Aronov, Alon Efrat, Dan Halperin, Micha Shar...
VIS
2005
IEEE
109views Visualization» more  VIS 2005»
14 years 9 months ago
Topological Structures of 3D Tensor Fields
Tensor topology is useful in providing a simplified and yet detailed representation of a tensor field. Recently the field of 3D tensor topology is advanced by the discovery that d...
Xiaoqiang Zheng, Beresford N. Parlett, Alex Pang
GD
2007
Springer
14 years 1 months ago
A Bipartite Strengthening of the Crossing Lemma
Let G = (V, E) be a graph with n vertices and m ≥ 4n edges drawn in the plane. The celebrated Crossing Lemma states that G has at least Ω(m3 /n2 ) pairs of crossing edges; or ...
Jacob Fox, János Pach, Csaba D. Tóth
COMPGEOM
2006
ACM
14 years 1 months ago
An optimal-time algorithm for shortest paths on a convex polytope in three dimensions
We present an optimal-time algorithm for computing (an implicit representation of) the shortest-path map from a fixed source s on the surface of a convex polytope P in three dime...
Yevgeny Schreiber, Micha Sharir
FSTTCS
2004
Springer
14 years 1 months ago
Short-Cuts on Star, Source and Planar Unfoldings
When studying a 3D polyhedron, it is often easier to cut it open and atten in on the plane. There are several ways to perform this unfolding. Standard unfoldings which have been u...
Vijay Chandru, Ramesh Hariharan, Narasimha M. Kris...