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Search: authors:"Pankaj K. Agarwal"

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Union of Hypercubes and 3D Minkowski Sums with Random Sizes

Aviv University, and by the Hermann Minkowski-MINERVA Center for Geometry at Tel Aviv University 3 Pankaj K. Agarwal 4 Micha Sharir Let T = {41, . . . , 4n} be a set of of n pairwise-disjoint triangles

Approximate Nearest Neighbor Search Amid Higher-Dimensional Flats

We consider the Approximate Nearest Neighbor (ANN) problem where the input set consists of n k-flats in the Euclidean Rd, for any fixed parameters k<d, and where, for each query point q, we want to return an input flat whose distance from q is at most (1 + epsilon) times the shortest such distance, where epsilon > 0 is another prespecified parameter. We present an algorithm that...