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CGF
2008
173views more  CGF 2008»
15 years 4 months ago
A Local/Global Approach to Mesh Parameterization
We present a novel approach to parameterize a mesh with disk topology to the plane in a shape-preserving manner. Our key contribution is a local/global algorithm, which combines a...
Ligang Liu, Lei Zhang, Yin Xu, Craig Gotsman, Stev...
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
15 years 7 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...
COMPGEOM
2005
ACM
15 years 6 months ago
Kinetic sorting and kinetic convex hulls
Let S be a set of n points moving on the real line. The kinetic sorting problem is to maintain a data structure on the set S that makes it possible to quickly generate a sorted li...
Mohammad Ali Abam, Mark de Berg
COMPGEOM
2005
ACM
15 years 6 months ago
Cache-oblivious r-trees
We develop a cache-oblivious data structure for storing a set S of N axis-aligned rectangles in the plane, such that all rectangles in S intersecting a query rectangle or point ca...
Lars Arge, Mark de Berg, Herman J. Haverkort
COMPGEOM
2005
ACM
15 years 6 months ago
The Visibility-Voronoi Complex and Its Applications
We introduce a new type of diagram called the VV(c)-diagram (the visibility–Voronoi diagram for clearance c), which is a hybrid between the visibility graph and the Voronoi diag...
Ron Wein, Jur P. van den Berg, Dan Halperin