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88
Voted
COMPGEOM
2004
ACM
15 years 6 months ago
The number of lines tangent to arbitrary convex polyhedra in 3D
We prove that the lines tangent to four possibly intersecting convex polyhedra in   3 with n edges in total form Θ(n2 ) connected components in the worst case. In the generic ca...
Hervé Brönnimann, Olivier Devillers, V...
97
Voted
GLVLSI
2003
IEEE
135views VLSI» more  GLVLSI 2003»
15 years 6 months ago
Constructing exact octagonal steiner minimal trees
Octagonal Steiner Minimal Trees (OSMTs) are used in the global routing phase of pervasive octagonal VLSI layout. The OSMT problem seeks a minimal length spanning structure using e...
Chris Coulston
96
Voted
COMPGEOM
2010
ACM
15 years 5 months ago
Geometric tomography with topological guarantees
We consider the problem of reconstructing a compact 3manifold (with boundary) embedded in R3 from its crosssections with a given set of cutting planes having arbitrary orientation...
Omid Amini, Jean-Daniel Boissonnat, Pooran Memari
170
Voted
COMPGEOM
2011
ACM
14 years 4 months ago
Metric graph reconstruction from noisy data
Many real-world data sets can be viewed of as noisy samples of special types of metric spaces called metric graphs [16]. Building on the notions of correspondence and GromovHausdo...
Mridul Aanjaneya, Frédéric Chazal, D...
194
Voted
GIS
2006
ACM
16 years 1 months ago
Optimal BSPs and rectilinear cartograms
A cartogram is a thematic map that visualizes statistical data about a set of regions like countries, states or provinces. The size of a region in a cartogram corresponds to a par...
Mark de Berg, Elena Mumford, Bettina Speckmann