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COMPGEOM
2009
ACM
14 years 2 months ago
Shooting permanent rays among disjoint polygons in the plane
We present a data structure for ray shooting-and-insertion in the free space among disjoint polygonal obstacles with a total of n vertices in the plane, where each ray starts at t...
Mashhood Ishaque, Bettina Speckmann, Csaba D. T&oa...
ISAAC
2009
Springer
78views Algorithms» more  ISAAC 2009»
14 years 2 months ago
Reconstructing Polygons from Scanner Data
A range-finding scanner can collect information about the shape of an (unknown) polygonal room in which it is placed. Suppose that a set of scanners returns not only a set of poin...
Therese C. Biedl, Stephane Durocher, Jack Snoeyink
AAIM
2009
Springer
119views Algorithms» more  AAIM 2009»
14 years 2 months ago
Link Distance and Shortest Path Problems in the Plane
We develop algorithms to compute Voronoi diagrams, shortest path maps, and the Fr´echet distance in the plane with polygonal obstacles. Distances between points are measured eithe...
Atlas F. Cook, Carola Wenk
ISAAC
2007
Springer
93views Algorithms» more  ISAAC 2007»
14 years 1 months ago
Dilation-Optimal Edge Deletion in Polygonal Cycles
Abstract. Let C be a polygonal cycle on n vertices in the plane. A randomized algorithm is presented which computes in O(n log3 n) expected time, the edge of C whose removal result...
Hee-Kap Ahn, Mohammad Farshi, Christian Knauer, Mi...