Dynamic algorithms in computational geometry

Abstract

Dynamic algorithms and data structures in the area of computational geometry are surveyed. The work has a twofold purpose: it introduces the area to the nonspecialist and reviews the state of the art for the specialist. Fundamental data structures, such as balanced search trees and general techniques for dynamization, are reviewed. Range searching, intersections, point location, convex hull, and proximity are discussed. Problems that do not fall into these categories are also discussed. Open problems are given.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>