Issue No. 06 - June (1983 vol. 5)
R. L. Kashyap , School of Electrical Engineering, Purdue University, West Lafayette, IN 47907.
B. J. Oommen , School of Computer Science, Carleton University, Ottawa, Ont., Canada K1S 5B6.
A smoother version of a polygon ¿ is defined as a polygon which approximates ¿ according to a given criterion and which simultaneously has no more edges than ¿ itself. In this paper, a scale preserving smoothing algorithm is presented. The input to the algorithm is a polygon ¿ and the output is its smoothed version ¿. ¿, which contains all the scale information that ¿ contains, is called the linear minimum perimeter polygon (LMPP) of ¿ within a tolerance of. Using the quantity the degree of with ¿ approximates ¿ can be controlled. From the LMPP a representation for a polygon approximating ¿ can be procured, which is invariant to scale and translation changes. Examples of smoothing maps and characters have been presented.
B. J. Oommen and R. L. Kashyap, "Scale Preserving Smoothing of Polygons," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 5, no. , pp. 667-671, 1983.