Spotting, Tracking algorithm and the remoteness
The-Point-in-Polygon-Problem (P.I.P.)
Keywords:
polygon, the triangulation, tracking algorithm, The neighboring Point, the remoteness, Closest Point, Quadratic optimization, Optimization, Algorithm
Abstract
On this paper we present a solution to detect and know if a point M is inside a polygon ( A(k), k∈{1,...,n} ) or outside. We are going to give a very simple, practical and explicit method of the triangulation of a convex polygon (convex polyhedron) after a definition and the concretization of the order relation of the points of a polygon in a plane following a well-chosen orientation in before and an arbitrary point of the vertices of the polygon. In the case where the point M is outside the polygon, a simple optimization method will be applied to determine the distance between the point M and the polygon A(1), ..., A(n) and the point P of the border of the polygon closest to M ”The neighboring Point”.References
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- El-Salamony, M., Guaily, A. (2020). Enhanced Modified-Polygon Method for Point-in-Polygon Problem. In: Farouk, M., Hassanein, M. (eds) Recent Advances in Engineering Mathematics and Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-39847-7 4.
- Saalfeld, A. It doesn’t make me nearly as CROSS Some advantages of the point-vector representation of line segments in automated cartography. Geographical Information Systems 1(4):379-386 DOI: 10.1080/02693798708927823 (1987).
- Taylor, G. Point in polygon test. Survey Review 32(254):479-484 DOI: 10.1179/003962694791964997 (1994).
- Nordbeck, S. & Rystedt, B. Computer cartography point in polygon programs. Bit Numerical Mathematics, 7(1), 39–64.(1967).
- El-Salamony, M., Guaily, A. (2020). Enhanced Modified-Polygon Method for Point-in-Polygon Problem. In: Farouk, M., Hassanein, M. (eds) Recent Advances in Engineering Mathematics and Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-39847-7 4.
Published
2024-07-22
How to Cite
Arbai, A., Chaouki, A. M., & Bellekbir, A. (2024). Spotting, Tracking algorithm and the remoteness. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-1893
Issue
Section
Research Articles
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