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M. Gavrilov, P. Indyk, R. Motwani, and S. Venkatasubramanian. Geometric pattern matching: A performance study. In Proc. of the 15th Annual ACM Symposium on Computational Geometry, pages 79--85, 1999.

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Dense Point Sets Have Sparse Delaunay Triangulations or ". . .. - Erickson (2002)   (2 citations)  (Correct)

....dense point sets in IR d , which have spread O(n 1=d ) Valtr and others [33, 59, 60, 61, 62] have established several combinatorial results for dense point sets that improve corresponding bounds for arbitrary point sets. For other combinatorial and algorithmic results related to spread, see [15, 23, 37, 41, 42, 47]. In Section 2, we prove that the Delaunay triangulation of any set of n points in IR 3 with spread has complexity O( 3 ) In particular, the Delaunay triangulation of any dense point set in IR 3 has only linear complexity. This bound is tight in the worst case for all = O( p n) and ....

M. Gavrilov, P. Indyk, R. Motwani, and S. Venkatasubramanian. Geometric pattern matching: A performance study. Proc. 15th Annu. ACM Sympos. Comput. Geom., 79-85, 1999.


A Sweep Line Algorithm for Nearest Neighbour Queries - Joao Dinis Departamento   (Correct)

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M. Gavrilov, P. Indyk, R. Motwani, and S. Venkatasubramanian. Geometric pattern matching: A performance study. In Proc. of the 15th Annual ACM Symposium on Computational Geometry, pages 79--85, 1999.

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