Please use this identifier to cite or link to this item: http://hdl.handle.net/1783.1/721

Hierarchical decompositions and circular ray shooting in simple polygons

Authors Cheng, Siu-Wing
Cheong, Otfried
Everett, Hazel
Van Oostrum, Rene
Issue Date 2002
Summary A hierarchical decomposition of a simple polygon is introduced. The hierarchy has depth O(log n), linear size, and its regions have at most three neighbors. Using this hierarchy, circular ray shooting queries in a simple polygon can be answered in O(log<sup>2</sup>n) query time and O(n log n) space. If the radius of the circle is fixed, the query time can be improved to O(log n) and the space to O(n).
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Language English
Format Technical report
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