Title

Skip Quadtrees: Dynamic Data Structures for Multidimensional Point Sets

Document Type

Article

Publication Date

4-1-2008

Department

Computing

Abstract

We present a new multi-dimensional data structure, which we call the skip quadtree ( for point data in R-2) or the skip octree (for point data in R., with constant d > 2). Our data structure combines the best features of two well-known data structures, in that it has the well-defined "box"-shaped regions of region quadtrees and the logarithmicheight search and update hierarchical structure of skip lists. Indeed, the bottom level of our structure is exactly a region quadtree (or octree for higher dimensional data). We describe efficient algorithms for inserting and deleting points in a skip quadtree, as well as fast methods for performing point location, approximate range, and approximate nearest neighbor queries.

Publication Title

International Journal of Computational Geometry & Applications

Volume

18

Issue

41276

First Page

131

Last Page

160