applications of random sampling in computational geometry ii kenneth l clarkson and peter w shor at tbell laboratories murray hill new jersey 07974 1989 abstract we use random sampling for ...
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...Applications of random sampling in computational geometry ii kenneth l clarkson and peter w shor at tbell laboratories murray hill new jersey abstract we use for several geometric algorithms the are las vegas their expected bounds with respect to behavior these follow from general results giving sharp subsets show that can be used optimally divide conquer also give a simple technique building structures incrementally one algorithm reports all intersecting pairs set line segments plane requires o nlogn time where is number reported n space worst case another computes convex hull points d e gives fast times input diameter on way intersection unit balls nloga suces compute surface halfspace range reporting given addition asymptotically tight k sets which certain partitions point proof lee s high order voronoi diagrams introduction recent years has seen increasing discrete com putational proximity problems location queries have largely split into subproblems each guar anteed small this pap...