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MOR
2010
120views more  MOR 2010»
13 years 8 months ago
Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz In
We study the convergence properties of an alternating proximal minimization algorithm for nonconvex structured functions of the type: L(x, y) = f(x)+Q(x, y)+g(y), where f : Rn → ...
Hedy Attouch, Jérôme Bolte, Patrick R...
ISAAC
1999
Springer
91views Algorithms» more  ISAAC 1999»
14 years 2 months ago
Convexifying Monotone Polygons
This paper considers recon gurations of polygons, where each polygon edge is a rigid link, no two of which can cross during the motion. We prove that one can recon gure any monoton...
Therese C. Biedl, Erik D. Demaine, Sylvain Lazard,...
ACID
2006
264views Algorithms» more  ACID 2006»
13 years 11 months ago
A Parameterized View on Matroid Optimization Problems
Matroid theory gives us powerful techniques for understanding combinatorial optimization problems and for designing polynomial-time algorithms. However, several natural matroid pr...
Dániel Marx
DGCI
2005
Springer
14 years 3 months ago
Arbitrary 3D Resolution Discrete Ray Tracing of Implicit Surfaces
A new approach to ray tracing implicit surfaces based on recursive space subdivision is presented in this paper. Interval arithmetic, already used to calculate intersections in ray...
Nilo Stolte
ESA
2003
Springer
118views Algorithms» more  ESA 2003»
14 years 3 months ago
The Voronoi Diagram of Planar Convex Objects
This paper presents a dynamic algorithm for the construction of the Euclidean Voronoi diagram of a set of convex objects in the plane. We consider first the Voronoi diagram of smo...
Menelaos I. Karavelas, Mariette Yvinec