Localized Geometric Query Problems
John E. Augustine, Sandip Das, Anil Maheshwari, Subhas Chandra Nandy, Sasanka Roy, Swami Sarvattomananda · arXiv (Cornell University) · 2011
A new class of geometric query problems are studied in this paper. We are required to preprocess a set of geometric objects $P$ in the plane, so that for any arbitrary query point $q$, the largest circle that contains $q$ but does not contain any member of $P$, can be reported efficiently. The geometric sets that we consider are point sets and boundaries of simple polygons.