Simplex Range Searching Revisited: How to Shave Logs in Multi-Level Data Structures

Timothy M. Chan, Da Wei Zheng · Society for Industrial and Applied Mathematics eBooks · 2023

We revisit the classic problem of simplex range searching and related problems in computational geometry. We present a collection of new results which improve previous bounds by multiple logarithmic factors that were caused by the use of multi-level data structures. Highlights include the following:

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