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SMA
2008
ACM
182views Solid Modeling» more  SMA 2008»
13 years 7 months ago
Voronoi diagram computations for planar NURBS curves
We present robust and efficient algorithms for computing Voronoi diagrams of planar freeform curves. Boundaries of the Voronoi diagram consist of portions of the bisector curves b...
Joon-Kyung Seong, Elaine Cohen, Gershon Elber
FOCS
2009
IEEE
14 years 2 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi
GMP
2000
IEEE
138views Solid Modeling» more  GMP 2000»
13 years 11 months ago
On Optimal Tolerancing in Computer-Aided Design
A geometric approach to the computation of precise or well approximated tolerance zones for CAD constructions is given. We continue a previous study of linear constructions and fr...
Helmut Pottmann, Boris Odehnal, Martin Peternell, ...
APPROX
2010
Springer
188views Algorithms» more  APPROX 2010»
13 years 9 months ago
Approximation Algorithms for Reliable Stochastic Combinatorial Optimization
We consider optimization problems that can be formulated as minimizing the cost of a feasible solution wT x over an arbitrary combinatorial feasible set F {0, 1}n . For these pro...
Evdokia Nikolova
ISAAC
2009
Springer
140views Algorithms» more  ISAAC 2009»
14 years 1 months ago
Shifting Strategy for Geometric Graphs without Geometry
We give a simple framework which is an alternative to the celebrated and widely used shifting strategy of Hochbaum and Maass [J. ACM, 1985] which has yielded efficient algorithms ...
Imran A. Pirwani