Asymptotically optimum recovery of smooth contours by Bézier curve Original Research Article

In some problem domains, it is important to minimize the visually perceived distance between a given curve and a Bézier curve approximating it. This paper provides an algorithm for constructing a parabolic Bézier curve approximation which deviates the least (asymptotically) from the given curve, according to the Hausdorff metric, which corresponds to minimal deviation as perceived by the human eye.