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Localized Geometric Query Problems

2011/11/12 by John Augustine, Augustine, John, Sandip Das +9
Computer Science · #Computational Geometry (cs.CG) #Computational Geometry and Mesh Generation #Data Management and Algorithms #FOS: Computer and information sciences #Graph Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.1111.2918

openalex publication_date 2011/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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