On the compactness of subsets of digital pictures

Sankar , P. V. ; Krishnamurthy, E. V. (1978) On the compactness of subsets of digital pictures Computer Graphics and Image Processing, 8 (1). pp. 136-143. ISSN 0146-664X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S01466...

Related URL: http://dx.doi.org/10.1016/S0146-664X(78)80021-5


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

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