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A note on point location in arrangements of hyperplanes
Authors:Ding Liu
Affiliation:Department of Computer Science, Princeton University, Princeton, NJ 08544, USA
Abstract:We give an algorithm for point location in an arrangement of n hyperplanes in Ed with running time poly(d,logn) and space O(nd). The space improves on the O(nd+ε) bound of Meiser's algorithm [Inform. and Control 106 (1993) 286] that has a similar running time.
Keywords:Computational geometry   Point location   Hyperplane arrangements
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