A Minimum Description Length Polygonal Approximation Method

Given a sequence of points in two dimensions, obtained by sampling the perimeter of a planar region, it is often of interest to approximate this set by piecewise linear curves or polygons. In this paper we take a Minimum Description Length (MDL) approach to this problem. The algorithm presented yields the polygonal approximation with the (globally) minimum description length to the given sequence of points for fixed initial and final endpoints. The execution time and space requirements of our algorithm are both $O(n^2 )$, where $n$ is the number of points. Experimental results demonstrating the behavior of the optimal algorithm under changes in noise and precision levels are shown.

By: Saibal Banerjee, Wayne Niblack and Myron Flickner

Published in: RJ10007 in 1996


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