Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Tuesday, May 29, 2007, 12:15 pm

**Duration**: This information is not available in the database

**Location**: OAT S15/S16/S17

**Speaker**: Jack Snoeyink (Univ. of North Carolina at Chapel Hill)

1. How much time does it take to compute the diameter or convex hull of the intersection points of a set of n lines (the finite vertices of their arrangement)?

2. What if you are given n line segments?

3. What if you are given n planes?

Over 20 years ago, Ching and Lee (and Atallah) answered the first question: Theta(n log n) time, even though the arrangement can have Theta(n^2) intersections -- the extreme points must be intersections of lines that are consecutive in slope order. This observation does not help us for questions #2 or #3, however. I'll present the answers in today's seminar.

This result has no known practical application, other than to partially refute Emo's accusation that I do applied work.

Joint work with Esther Arkin and Joseph Mitchell.

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