On the compactness of subsets of digital pictures

✍ Scribed by P.V. Sankar; E.V. Krishnamurthy

• Publisher: Elsevier Science
• Year: 1978
• Weight: 290 KB
• Volume: 8
• Category: Article
• ISSN: 0146-664X
• DOI: 10.1016/s0146-664x(78)80021-5

✦ Synopsis

The ratio of the square of the perimeter P of a figure to its area A is the Euclidean measure of the noneompaetness of the figure. Tiffs ratio is also a natural measure of noncompaetness for digital pictures, provided that P and A are properly defined. This can be done based on classical results regarding evaluation of ehe area and perimeter of a polygon whose vertices are lattice points.