Given a set of data points in a multidimensional space, a skyline query retrieves those data points that are not dominated by any other point in the same dataset. Observing that the properties of Z-order space filling curves (or Z-order curves) perfectly match with the dominance relationships among data points in a geometrical data space, we, in this paper, develop and present a novel and efficient processing framework to evaluate skyline queries and their variants, and to support skyline result updates based on Z-order curves. This framework consists of ZBtree , i.e., an index structure to organize a source dataset and skyline candidates, and a suite of algorithms, namely, (1) ZSearch , which processes skyline queries, (2) ZInsert , ZDelete and ZUpdate , which incrementally maintain skyline results in presence of source dataset updates, (3) ZBand , which answers skyband queries, (4) ZRank , which returns top-ranked skyline points, (5) k-ZSearch , which evaluates k -dominant skyline queries, and (6) ZSubspace , which supports skyline queries on a subset of dimensions. While derived upon coherent ideas and concepts, our approaches are shown to outperform the state-of-the-art algorithms that are specialized to address particular skyline problems, especially when a large number of skyline points are resulted, via comprehensive experiments.
The VLDB Journal – Springer Journals
Published: Jun 1, 2010
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