Method for dividing and developing a Bézier curve

Abstract

Abstract A method for dividing and developing a Bézier curve by making use of a control computer, an error calculator, a Bézier curve divider and an output device is improved. The improved method consists of the steps of: (a) inputting coordinates of end points and control points of a Bézier curve to the control computer; (b) calculating squares of distances of the input control points from a straight line connecting the end points, as errors; (c) dividing the curve into two parts and newly inputting coordinates of end points and control points of a Bézier curve by employing the dividing point on the Bézier curve and one of the end points in the step (b) respectively as new end points, in the event that the error calculated in the Step (b) exceeds a tolerable range; (d) repeating the steps (b) and (c) with respect to the control points and end points of the curve input in the step (c) until the errors calculated in the step (b) fall in the tolerable range; and (e) connecting the end points of the respective divided curves to develop the original curve; the calculation and evaluation of the errors in the step (b) being carried out with respect to the respective control points.

Inventors

• 👤 Tadahiro c/o Nagoya Tech.Inst.of Matsukawa

Bibliographic Details