A simple polygon P is LR-visible if there are two points s, t on the boundary of P such that every point on the clockwise boundary of P from s to t is visible from some point of the other boundary of P from t to s and visa versa. In this paper, we give a simple, explict characterization of LR-visibility polygons. It is obtained by mapping the structure of non-redundant components used in determining LR-visibility into a set of directed chords of a circle. Using our characterization, we further develop a simple O(n) time algorithm for determining whether a given polygon is LR-visible. This greatly simplifies the existing algorithms for determining whether a simple polygon is LR-visible and for reporting all pairs s and t which admit LR-visibility as well. © 2011 Springer-Verlag.
CITATION STYLE
Tan, X., Zhang, J., & Jiang, B. (2011). Simple characterization of LR-visibility polygons. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7033 LNCS, pp. 176–187). https://doi.org/10.1007/978-3-642-24983-9_18
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