Best bin first

Best bin first is a search algorithm that is designed to efficiently find an approximate solution to the nearest neighbor search problem in very-high-dimensional spaces. The algorithm is based on a variant of the kd-tree search algorithm which makes indexing higher-dimensional spaces possible. Best bin first is an approximate algorithm which returns the nearest neighbor for a large fraction of queries and a very close neighbor otherwise.^[1]

Differences from kd tree

Bins are looked in increasing order of distance from the query point. The distance to a bin is defined as a minimal distance to any point of its boundary. This is implemented with priority queue.^[2]
Search a fixed number of nearest candidates and stop.
A speedup of two orders of magnitude is typical.

References

^ Beis, J.; Lowe, D. G. (1997). Shape indexing using approximate nearest-neighbour search in high-dimensional spaces. Conference on Computer Vision and Pattern Recognition. Puerto Rico. pp. 1000–1006. CiteSeerX 10.1.1.23.9493.
^ Shape Indexing Using Approximate Nearest-Neighbour Search in High-Dimensional Spaces, pp. 4-5

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[1] Beis, J.; Lowe, D. G. (1997). Shape indexing using approximate nearest-neighbour search in high-dimensional spaces. Conference on Computer Vision and Pattern Recognition. Puerto Rico. pp. 1000–1006. CiteSeerX 10.1.1.23.9493.

[2] Shape Indexing Using Approximate Nearest-Neighbour Search in High-Dimensional Spaces, pp. 4-5

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Best bin first

Best bin first

Best bin first

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Root Wikipedia Article

Best bin first

Differences from kd tree

References