Geodesic
An Algorithm for a Simple Construction of Suboptimal Digital Convex Polygons
Yugoslav journal of operations research, Tome 2 (1992) no. 1, p. 73 .

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The relationship between the number of edges and the diameter of digital convex polygons was studied in the papers [6], [2], [3], [4], This paper give a linear algorithm (w.r.t. the number vertices) for a simple approximate construction of optimal digital convex polygons, that is, those digital convex polygons, which have the smallest possible diameter for a given number of edges. The algorithm partly uses the efficient construction [2] of a special sequence of optimal digital convex polygons. It constructs in a simplified manner the suboptimal (with error tolerance equal to 1) digital convex polygons. The proofs of this suboptimality can be found in the paper [4].
Keywords: 
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     author = {Dragan M. Acketa and Sne\v{z}ana Mati\'c-Keki\'c},
     title = {An {Algorithm} for a {Simple} {Construction} of {Suboptimal} {Digital} {Convex} {Polygons}},
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Dragan M. Acketa; Snežana Matić-Kekić. An Algorithm for a Simple Construction of Suboptimal Digital Convex Polygons. Yugoslav journal of operations research, Tome 2 (1992) no. 1, p. 73 . http://geodesic.mathdoc.fr/item/YJOR_1992_2_1_a6/