The hB-pi* tree: An optimized comprehensive access method for frequent-update multi-dimensional point data

Abstract

The R-tree [7] family is the most popular multi-dimensional index method. The R-tree, however, has overlaps among index entries and its index page fanout decreases rapidly as data dimension increases. Furthermore, the R-tree has poor concurrency performance. For frequent-update multi-dimensional point data sets, the hB-pi [5] tree is a better choice than the R*-tree. But the hB-pi tree (and all other kd-tree based access methods) indexes the whole space no matter whether or not there is any data in some sub-spaces. Indexing empty space (i.e., space without data inside) leads to unnecessary data page accesses which increase with growing dimension. This paper addresses this problem by proposing the hB-pi*tree, which efficiently indicates empty spaces and improves range query performances while preserving the hB-pi's high fan-out and good concurrency. Our methods can be applied to any kd-tree based access methods, and our claims are supported by extensive experimental evaluation. © 2008 Springer-Verlag.