ABSTRACT
While approximating a curve by a polygon it is necessary to have a measure of closeness. The error norms are used as a measure of closeness, Most commonly used norms are the maximum error (L
ing algorithms for polygonal approximation of digital curve use either the maximum error or the integral square error. In the polygonal approximation schemes where approximation errors are controlled indirectly, the maximum error is controlled by the criterion function. We wish you to show that though the most commonly used norms are integral square error and the maximum error but it is also possible to use the sum of absolute errors (L1 norm) as a measure of closeness. The procedure [123] that we present here is conceptually and technically.
