On the importance of idempotence

  title={On the importance of idempotence},
  author={Sunil Arya and Theocharis Malamatos and David M. Mount},
Range searching is among the most fundamental problems in computational geometry. An n-element point set in Rd is given along with an assignment of weights to these points from some commutative semigroup. Subject to a fixed space of possible range shapes, the problem is to preprocess the points so that the total semigroup sum of the points lying within a given query range η can be determined quickly. In the approximate version of the problem we assume that η is bounded, and we are given an… CONTINUE READING
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