ICS Theory Group

May 14, Spring Quarter 2010: Theory Seminar

1:00pm in ICS 243

Optimal dynamic vertical ray shooting in rectilinear planar subdivisions

Joe Simons

Presenting an ACM TALG 2009 paper by Giora and Kaplan

Abstract: We consider the dynamic vertical ray shooting problem against horizontal disjoint segments, that is, the task of maintaining a dynamic set S of n nonintersecting horizontal line segments in the plane under a query that reports the first segment in S intersecting a vertical ray from a query point. We develop a linear-size structure that supports queries, insertions, and deletion in O(log n) worst-case time. Our structure works in the comparison model on a random access machine.