Digital Picture Processing
Digital metrics: A graph-theoretical approach
Pattern Recognition Letters
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For a digital image D let the cover of D be defined by C(D) = @S"P"."Q"@e"Dd(P,Q) where d is the city block distance. Formulas are obtained for C(D) for various shapes including upright line segments, rectangles, isosceles triangles and diamonds. It is shown that certain images can be recognized from their cover values in the presence of additional geometric symmetry conditions.