### Maximal visibility and unions of orthogonally starshaped sets

#### Abstract

Let S be an orthogonal polygon in the plane. For each point x in S,let denote the set of points which x sees via staircase paths and let(Error rendering LaTeX formula). For S simply connected, S is starshaped via staircase paths (i.e., orthogonally starshaped) if and only if S contains exactly one such closed set , and when this occurs is the staircase kernel of S. In general, if S contains exactly k such distinct closed set , then S is a union of k (or possibly fewer) orthogonally starshaped sets chosen from .

DOI Code:
10.1285/i15900932v24n1p1

Keywords:
Orthogonal polygons; Starshaped via staircase paths

Classification:
52A30

Full Text: PDF