A Simple Framework for the Generalized Nearest Neighbor Problem

Tomáš Hrúz, Marcel Schöngens · Repository for Publications and Research Data (ETH Zurich) · 2012

The problem of finding a nearest neighbor from a set of points in ℝd to a complex query object has attracted considerable attention due to various applications in computational geometry, bio-informatics, information retrieval, etc. We propose a generic method that solves the problem for various classes of query objects and distance functions in a unified way. Moreover, for linear space requirements the method simplifies the known approach based on ray-shooting in the lower envelope of an arrangement.

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