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An optimal parallel algorithm for the visibility of a simple polygon from a point

Authors: Atallah, Mikhail J.; Chen, Danny Z.; Wagner, Hubert;

An optimal parallel algorithm for the visibility of a simple polygon from a point

Abstract

Summary: We present a parallel algorithm for computing the visible portion of a simple polygonal chain with \(n\) vertices from a point in the plane. The algorithm runs in \(O(\log n)\) time using \(O(n/\log n)\) processors in the CREW-PRAM computational model, and hence is asymptotically optimal.

Country
United States
Keywords

Computer Sciences, Analysis of algorithms and problem complexity, visible regions, Computer graphics; computational geometry (digital and algorithmic aspects), computational geometry, simple polygons, parallel computational complexity, intersections of polygonal chains

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Average
Top 10%
Average
Green
bronze