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CORR
2010
Springer
83views Education» more  CORR 2010»
13 years 6 months ago
Multitriangulations, pseudotriangulations and primitive sorting networks
We study the set of all pseudoline arrangements with contact points which cover a given support. We define a notion of flip which transforms a pseudoline arrangement with contact...
Vincent Pilaud, Michel Pocchiola
COMPGEOM
2008
ACM
13 years 9 months ago
Arrangements of geodesic arcs on the sphere
This movie illustrates exact construction and maintenance of arrangements induced by arcs of great circles embedded on the sphere, also known as geodesic arcs, and exact computati...
Efi Fogel, Ophir Setter, Dan Halperin
ESA
2003
Springer
141views Algorithms» more  ESA 2003»
14 years 28 days ago
Jacobi Curves: Computing the Exact Topology of Arrangements of Non-singular Algebraic Curves
We present an approach that extends the BentleyOttmann sweep-line algorithm [3] to the exact computation of the topology of arrangements induced by non-singular algebraic curves o...
Nicola Wolpert
MICS
2010
94views more  MICS 2010»
13 years 6 months ago
Arrangements on Parametric Surfaces I: General Framework and Infrastructure
We introduce a framework for the construction, maintenance, and manipulation of arrangements of curves embedded on certain two-dimensional orientable parametric surfaces in three-d...
Eric Berberich, Efi Fogel, Dan Halperin, Kurt Mehl...
CCCG
2010
13 years 9 months ago
Evading equilateral triangles without a map
Consider an arrangement of equilateral non-overlapping translated triangles in the plane and two points S and T so that the segment ST is parallel to a side of each of the triangl...
Braxton Carrigan