Sciweavers

CCCG
2006
13 years 6 months ago
Geometric Separator for d-Dimensional Ball Graphs
We study the graph partitioning problem on ddimensional ball graphs in a geometric way. Let B be a set of balls in d-dimensional Euclidean space with radius ratio and -precision....
Kebin Wang, Shang-Hua Teng
CCCG
2006
13 years 6 months ago
Predicates for Line Transversals in 3D
In this paper we study various predicates concerning line transversals to lines and segments in 3D. We compute the degrees of standard methods of evaluating these predicates. The ...
Hazel Everett, Sylvain Lazard, William J. Lenhart,...
CCCG
2006
13 years 6 months ago
On the Smallest Enclosing Information Disk
We present a generalization of Welzl's smallest enclosing disk algorithm [E. Welzl, Smallest enclosing disks (balls and ellipsoids), in: New Results and New Trends in Compute...
Frank Nielsen, Richard Nock
CCCG
2006
13 years 6 months ago
Range-Aggregate Proximity Detection for Design Rule Checking in VLSI Layouts
In a range-aggegate query problem we wish to preprocess a set S of geometric objects such that given a query orthogonal range q, a certain intersection or proximity query on the o...
R. Sharathkumar, Prosenjit Gupta
CCCG
2006
13 years 6 months ago
On Computing Shortest External Watchman Routes for Convex Polygons
We study the relationship between the interior angles of a convex polygon and the lengths of external watchman routes.
Rafa Absar, Sue Whitesides
CCCG
2006
13 years 6 months ago
Characterization of Polygons Searchable by a Boundary 1-Searcher
Suppose intruders are in a dark polygonal room and they can move at a finite but unbounded speed, trying to avoid detection. A boundary 1-searcher can move along the polygon bounda...
Tsunehiko Kameda, John Z. Zhang, Masafumi Yamashit...
CCCG
2006
13 years 6 months ago
On Bipartite Matching under the RMS Distance
Given two sets A and B of n points each in R2 , we study the problem of computing a matching between A and B that minimizes the root mean square (rms) distance of matched pairs. W...
Jeff M. Phillips, Pankaj K. Agarwal
CCCG
2006
13 years 6 months ago
Polygons Flip Finitely: Flaws and a Fix
Every simple planar polygon can undergo only a finite number of pocket flips before becoming convex. Since Erdos posed this as an open problem in 1935, several independent purport...
Erik D. Demaine, Blaise Gassend, Joseph O'Rourke, ...
CCCG
2006
13 years 6 months ago
Polygon Reconstruction from Line Cross-Sections
We study the following geometric probing problem: Reconstruct a planar polygon from its intersections with a collection of arbitrarily-oriented "cutting" lines. We propo...
Gill Barequet, Craig Gotsman, Avishay Sidlesky