For well-distributed points, nearest neighbor search is often near O(logn)O(\log n)O(logn) in practice. In the worst case (all points clustered tightly or along a line), it can degrade to O(n)O(n)O(n), but this is uncommon with typical spatial data.
Comparison between Thomas Knoll’s algorithm and the N-convex algorithm, using an 8-colour irregular palette. Left to right: original image, Knoll, N-convex ().
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