%0 Journal Article %A Thomas Shermer and Godfried T. Toussaint %D 2013 %J International Journal of Computer and Information Engineering %B World Academy of Science, Engineering and Technology %I Open Science Index 73, 2013 %T Characterizations of Star-Shaped, L-Convex, and Convex Polygons %U https://publications.waset.org/pdf/7701 %V 73 %X A chord of a simple polygon P is a line segment [xy] that intersects the boundary of P only at both endpoints x and y. A chord of P is called an interior chord provided the interior of [xy] lies in the interior of P. P is weakly visible from [xy] if for every point v in P there exists a point w in [xy] such that [vw] lies in P. In this paper star-shaped, L-convex, and convex polygons are characterized in terms of weak visibility properties from internal chords and starshaped subsets of P. A new Krasnoselskii-type characterization of isothetic star-shaped polygons is also presented. %P 121 - 127