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22nd International Conference on Data Engineering (ICDE'06)   p. 78
Surface k-NN Query Processing
Ke Deng, University of Queensland, Australia
Heng Tao Shen, University of Queensland, Australia
Kai Xu, National ICT Australia
Xuemin Lin, UNSW, Australia
Xiaofang Zhou, University of Queensland, Australia

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DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ICDE.2006.152
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Abstract
A k-NN query finds the k nearest-neighbors of a given point from a point database. When it is sufficient to measure object distance using the Euclidian distance, the key to efficient k-NN query processing is to fetch and check the distances of a minimum number of points from the database. For many applications, such as vehicle movement along road networks or rover and animal movement along terrain surfaces, the distance is only meaningful when it is along a valid movement path. For this type of k-NN queries, the focus of efficient query processing is to minimize the cost of computing distances using the environment data (such as the road network data and the terrain data), which can be several orders of magnitude larger than that of the point data. Efficient processing of k-NN queries based on the Euclidian distance or the road network distance has been investigated extensively in the past. In this paper, we investigate the problem of surface k-NN query processing, where the distance is calculated from the shortest path along a terrain surface. This problem is very challenging, as the terrain data can be very large and the computational cost of finding shortest paths is very high. We propose an efficient solution based on multiresolution terrain models. Our approach eliminates the need of costly process of finding shortest paths by ranking objects using estimated lower and upper bounds of distance on multiresolution terrain models.
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Citation:  Ke Deng, Heng Tao Shen, Kai Xu, Xuemin Lin, Xiaofang Zhou, "Surface k-NN Query Processing," icde, p. 78,  22nd International Conference on Data Engineering (ICDE'06),  2006