English

Localized Geometric Query Problems

Computational Geometry 2015-03-19 v2

Abstract

A new class of geometric query problems are studied in this paper. We are required to preprocess a set of geometric objects PP in the plane, so that for any arbitrary query point qq, the largest circle that contains qq but does not contain any member of PP, can be reported efficiently. The geometric sets that we consider are point sets and boundaries of simple polygons.

Keywords

Cite

@article{arxiv.1111.2918,
  title  = {Localized Geometric Query Problems},
  author = {John Augustine and Sandip Das and Anil Maheshwari and Subhas C. Nandy and Sasanka Roy and Swami Sarvattomananda},
  journal= {arXiv preprint arXiv:1111.2918},
  year   = {2015}
}
R2 v1 2026-06-21T19:35:06.419Z