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Published February 11, 2026 | Version v1

Tatsuya Hull: A Four-Sector Geometric Filtering Algorithm for Linear-Time Convex Hulls

Authors/Creators

Description

THull is a four-sector geometric filtering algorithm for convex hulls.  

It reduces the expected input size by half at each step and achieves  

expected linear-time performance. Experiments show that THull outperforms  

Quickhull on natural datasets.

Files

A_Four_Sector_Geometric_Filtering_Algorithm_for_Linear_Time_Convex_Hulls.pdf