1. A point-in-polygon method based on a quasi-closest point
- Author
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Yang, Sheng, Yong, Jun-Hai, Sun, Jiaguang, Gu, Hejin, and Paul, Jean-Claude
- Subjects
- *
POLYGONS , *NUMERICAL analysis , *ROBUST control , *GEOGRAPHIC information systems , *CASE studies - Abstract
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. [Copyright &y& Elsevier]
- Published
- 2010
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