The approximation of interval Bezier curves by a fuzzy rule-based system

Generally, we are interested in knots and control points as variables for finding a well Bezier model from many measuring data points. In this paper, we have selected good knots from given distributed data points on the basis of geometrical information such as curvature and bending of the curve. We have developed interval Bezier curves by estimating control points as an interval according to the knots which are selected by fuzzy rule basis. We have compared these curves and distributed data with the least squares error. We introduced, to the user the as interval Bezier curve, the one who has the minimum error toleration with variations in order to obtain most appropriate widths of Interval control points.