A smoothed version of a polygon xi is defined as a polygon which approximates xi according to a given criterion and which simultaneously has no more edges than xi itself. In this paper, a scale preserving smoothing algorithm is presented. The algorithm is called the Linear Minimum Perimeter Polygon (LMPP). From the LMPP a representation for a polygon approximating xi can be procured, which is invariant to scale and translation changes. Examples involving the Great Lakes of North America have been included which demonstrate the applicability of the smoothing technique. -from Authors

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Oommen, J, & Kashyap, R.L. (R. L.). (1983). Scale preserving smoothing of islands and lakes. Proc. 6th international symposium on automated cartography. Vol II. Automated cartography: international perspectives on achievements and challenges, Ottawa, Oct. 1983, 243–251.