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On Point-inclusion Test in Convex Polygons and Polyhedrons

Mahdi Imanparast; Mehdi Kazemi Torbaghan

Volume 52, Issue 1 , June 2020, , Pages 197-207

https://doi.org/10.22059/jac.2020.77122

Abstract
  A new algorithm for point-inclusion test in convex polygons is introduced. The proposed algorithm answers the point-inclusion test in convex polygons in $\mathcal{O}(\log n)$ time without any preprocessing and with $\mathcal{O}(n)$ space. The proposed algorithm is extended to do the point-inclusion test ...  Read More