- kReverse NN Search in Arbitrary Dimensionality

https://doi.org/10.1016/B978-012088469-8.50066-8Get rights and content

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This chapter focuses on conventional reverse Nearest Neighbor (RNN) queries. It also deals with reverse k-Nearest Neighbor (RkNN) queries. The existing algorithms for RNN search are applicable only in restricted scenarios. The chapter develops the first general methodology for retrieval of an arbitrary number of reverse nearest neighbors in multiple dimensions. This solution is better than the previous approaches in terms of efficiency and scalability. It illustrates several problem characteristics that permit the development of efficient algorithms and analyzes the performance of the proposed techniques with respect to existing methods. It introduces a two-step framework that retrieves a set of candidate RNNs and then removes the false misses. These two steps are independent and the filtering algorithms of one technique can be combined with the refinement mechanisms of the other.

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