Algorithms for range-aggregate query problems involving geometric aggregation operations

  • Authors:
  • Prosenjit Gupta

  • Affiliations:
  • Algorithms and Computation Theory Laboratory, International Institute of Information Technology, Gachibowli, Hyderabad, India

  • Venue:
  • ISAAC'05 Proceedings of the 16th international conference on Algorithms and Computation
  • Year:
  • 2005

Quantified Score

Hi-index 0.00

Visualization

Abstract

We consider variations of the standard orthogonal range searching motivated by applications in database querying and VLSI layout processing. In a generic instance of such a problem, called a range-aggregate query problem we wish to preprocess a set S of geometric objects such that given a query orthogonal range q, a certain intersection or proximity query on the objects of S intersected by q can be answered efficiently. Efficient solutions are provided for point enclosure queries, 1-d interval intersection, 2-d orthogonal segment intersection and 1- and 2-d closest pair problems in this framework. Although range-aggregate queries have been widely investigated in the past for aggregation functions like average, count, min, max, sum etc. we consider geometric aggregation operations in this paper.