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arXiv · 1111.2918

Localized Geometric Query Problems

John Augustine·Sandip Das·Anil Maheshwari·Subhas C. Nandy·Sasanka Roy·Swami Sarvattomananda
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Abstract

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.

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John Augustine, Sandip Das, Anil Maheshwari, Subhas C. Nandy, Sasanka Roy, Swami Sarvattomananda. 2011-11-12. Localized Geometric Query Problems. https://arxiv.org/abs/1111.2918

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