@article{(Open Science Index):https://publications.waset.org/pdf/7701, title = {Characterizations of Star-Shaped, L-Convex, and Convex Polygons}, author = {Thomas Shermer and Godfried T. Toussaint}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Computer and Information Engineering}, volume = {7}, number = {1}, year = {2013}, pages = {121 - 127}, ee = {https://publications.waset.org/pdf/7701}, url = {https://publications.waset.org/vol/73}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 73, 2013}, }