Thomas Shermer and Godfried T. Toussaint Characterizations of StarShaped, LConvex, and Convex Polygons
121 - 127
2013
7
1
International Journal of Computer, Electrical, Automation, Control and Information Engineering http://waset.org/publications/7701
http://waset.org/publications/73
World Academy of Science, Engineering and Technology
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 starshaped, Lconvex, and convex polygons are characterized
in terms of weak visibility properties from internal chords and starshaped
subsets of P. A new Krasnoselskiitype characterization of
isothetic starshaped polygons is also presented.
International Science Index 73, 2013