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  Shape indexing using approximate nearest-neighbour search in high-dimensional spaces (1997) [81 citations — 9 self]

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by Jeffrey S. Beis, David G. Lowe
In Proc. IEEE Conf. Comp. Vision Patt. Recog
http://www.cs.ubc.ca/spider/lowe/papers/cvpr97.ps
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Abstract:

Shape indexing is a way of making rapid associations between features detected in an image and object models that could have produced them. When model databases are large, the use of high-dimensionalfeatures is critical, due to the improved level of discrimination they can provide. Unfortunately, finding the nearest neighbour to a query point rapidly becomes inefficient as the dimensionality of the feature space increases. Past indexing methods have used hash tables for hypothesis recovery, but only in low-dimensional situations. In this paper, we show that a new variant of the k-d tree search algorithm makes indexing in higherdimensional spaces practical. This Best Bin First, or BBF, search is an approximate algorithm which finds the nearest neighbour for a large fraction of the queries, and a very close neighbour in the remaining cases. The technique has been integrated into a fully developed recognition system, which is able to detect complex objects in real, cluttered scenes in just a few seconds. 1.

Citations

410 An algorithm for finding best matches in logarithmic expected time – Friedman, Bentley, et al. - 1977
358 Perceptual Organization and Visual Recognition – Lowe - 1985
258 Geometric hashing: a general and efficient model-based recognition scheme – Lamdan, Wolfson - 1988
94 Structural indexing: efficient 3-d object recognition – Stein, Medioni - 1992
93 Refinements to Nearest-Neighbor Searching in k-Dimensional Trees – Sproull - 1991
72 Multi-dimensional indexing for recognizing visual shapes – Califano, Mohan - 1994
61 Space and time bounds on indexing 3d models from 2d images – Clemens, Jacobs - 1991
44 On the sensitivity of geometric hashing – Grimson - 1990
33 Structural indexing: Efficient 2-D object recognition – Stein, Medioni - 1992
33 Sensor modeling, probabilistic hypothesis generation, and robust localization for object recognition – Wheeler, Ikeuchi - 1995
22 Nearest neighbor searching and applications – Arya - 1995
21 Learning Indexing Functions for 3-D Model-Based Object Recognition – Beis, Lowe - 1994
20 A fast k nearest neighbor finding algorithm based on the ordered partition – Kim, Park - 1986
19 Fitting parametrized three-dimensional models to images – Lowe - 1991
10 Invariance - a new framework for vision – Forsyth, Mundy, et al. - 1990
10 Closest Point Search in High Dimensions – Nene, Nayar - 1996
4 Approximative Fast Nearest Neighbor Recognition – Miclet, Dabouz - 1983
2 Affine invariant modelbasedobject recognition – Lamdan, Schwartz, et al.
2 An efficient branch-and-bound nearest neighbour classifier – Neimann, Goppert - 1988
2 Efficient model library access by projectively invariant indexing functions – Forsyth - 1992