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COMGEO
2006
ACM
13 years 7 months ago
A new algorithmic approach to the computation of Minkowski functionals of polyconvex sets
An algorithm is proposed for the simultaneous computation of all Minkowski functionals (except for the volume) of sets from the convex ring in Rd discretized with respect to a give...
Simone Klenk, Volker Schmidt, Evgueni Spodarev
APPROX
2009
Springer
131views Algorithms» more  APPROX 2009»
14 years 2 months ago
An Approximation Scheme for Terrain Guarding
We obtain a polynomial time approximation scheme for the terrain guarding problem improving upon several recent constant factor approximations. Our algorithm is a local search algo...
Matt Gibson, Gaurav Kanade, Erik Krohn, Kasturi R....
ISAAC
2007
Springer
124views Algorithms» more  ISAAC 2007»
14 years 1 months ago
Approximating the Crossing Number of Toroidal Graphs
Abstract. CrossingNumber is one of the most challenging algorithmic problems in topological graph theory, with applications to graph drawing and VLSI layout. No polynomial time con...
Petr Hlinený, Gelasio Salazar
CAGD
2007
132views more  CAGD 2007»
13 years 7 months ago
Normals of subdivision surfaces and their control polyhedra
For planar spline curves and bivariate box-spline functions, the cone of normals of a polynomial spline piece is enclosed by the cone of normals of its spline control polyhedron. ...
Ingo Ginkel, Jörg Peters, Georg Umlauf
FCT
2009
Springer
13 years 11 months ago
Reachability in K3, 3-Free Graphs and K5-Free Graphs Is in Unambiguous Log-Space
We show that the reachability problem for directed graphs that are either K3,3-free or K5-free is in unambiguous log-space, UL coUL. This significantly extends the result of Bour...
Thomas Thierauf, Fabian Wagner