Abstract : This paper presents a numerically stable solution to a point-in-polygon problem by combining the orientation method and the uniform subdivision technique. We define first a quasi-closest point that can be locally found through the uniform subdivision cells, and then we provide the criteria for determining whether a point lies inside a polygon according to the quasi-closest point. For a large number of points to be tested against the same polygon, the criteria are employed to determine the inclusion property of an empty cell as well as a test point. The experimental tests show that the new method resolves the singularity of a test point on an edge without loss of efficiency. The GIS case study also demonstrates the capability of the method to identify which region contains a test point in a map.
https://hal.inria.fr/inria-00517936 Contributor : Thss TsinghuaConnect in order to contact the contributor Submitted on : Thursday, September 16, 2010 - 4:49:45 AM Last modification on : Thursday, February 3, 2022 - 11:17:49 AM Long-term archiving on: : Friday, December 2, 2016 - 4:50:42 AM