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On Point-inclusion Test in Convex Polygons and Polyhedrons | ||
Journal of Algorithms and Computation | ||
دوره 52، شماره 1، شهریور 2020، صفحه 197-207 اصل مقاله (302.28 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22059/jac.2020.77122 | ||
نویسندگان | ||
Mahdi Imanparast* 1؛ Mehdi Kazemi Torbaghan2 | ||
1Department of Computer Science, University of Bojnord, Bojnord, Iran | ||
2Department of Mathematics, University of Bojnord | ||
چکیده | ||
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 in convex polyhedrons in three dimensional space. This algorithm can solve the point-inclusion test in convex $3D$ polyhedrons in $\mathcal{O}(\log n)$ time with $\mathcal{O}(n)$ preprocessing time and $\mathcal{O}(n)$ space. | ||
کلیدواژهها | ||
Point-in-polygon؛ Point-inclusion test؛ Convex polygons؛ Convex polyhedrons؛ Preprocessing time | ||
آمار تعداد مشاهده مقاله: 647 تعداد دریافت فایل اصل مقاله: 447 |