On the perimeter of fat objects

We show that the size of the perimeter of (, )-covered objects is a linear function of the diameter. Specifically, for an (, )-covered object O, per(O) c diam(O) sin2 , for a positive constant c. One easy consequence of the result is that every point on the boundary of such an object sees a constant fraction of the boundary. Locally

• Type: Conference
• Year: 2010
• Where: CCCG
• Authors: Prosenjit Bose, Otfried Cheong, Vida Dujmovic
• Keywords: )-covered Object, )-covered Object O, CCCG 2010, Computational Geometry, Positive Constant C