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COMPGEOM
2004
ACM
15 years 12 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...
GLVLSI
2003
IEEE
135views VLSI» more  GLVLSI 2003»
15 years 11 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
COMPGEOM
2010
ACM
15 years 11 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
COMPGEOM
2011
ACM
14 years 10 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...
GIS
2006
ACM
16 years 7 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