Transdichotomous Results in Computational Geometry, II: Offline Search

We reexamine fundamental problems from computational geometry in the word RAM model, where input coordinates are integers that fit in a machine word. We develop a new algorithm for offline point location, a two-dimensional analog of sorting where one needs to order points with respect to segments. This result implies, for example, that the convex hull of n points in three dimensions can be constructed in (randomized) time n

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Timothy M. Chan, Mihai Patrascu
• Keywords: Convex Hulls, CORR 2010, Education, Point Location, Word Ram Model