Abstract

The emergence of several new application domains for databases has introduced the need for more efficient complex query handling than databases currently support. These application domains include On-Line Analytical Processing (OLAP), Geographical Information Systems (GIS), and scientific databases. This paper focuses attention on a form of selection query, expressible in SQL but not evaluated efficiently by current DBMSs, with wide applicability in these new problem domains. We introduce a processing strategy for this class of queries, which we call queries by linear constraints (QBLC). This processing strategy can be implemented with a wide variety of multidimensional indexing structures that include the R-Tree variants, the k-d-B-Tree, the Buddy-Tree, and many more. Note that any processing strategy meant for general database use must guarantee that all correct answers are returned. Therefore, all numerical techniques we employ uphold this guarantee. Thus the most distinguishing ch...

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