A Be´zier curve builder implemented in APL2

The Be´zier representation of curves is commonly used in computer graphics. A different, less advanced way of representing a curve is that of using a polyline, i.e., a sequence of short straight lines. This paper describes a “curve builder” that ...

This paper presents a simple method for approximating a rational Bezier curve with Bezier curve sequence, whose control points are those of degree-elevated rational Bezier curves. It is proved that the derivatives with any given degree of the Bezier ...

The problem of approximating rational curves by polynomial curves is studied in this paper. A simple method of approximation, which uses the control points of the degree-elevated curve to approximate the original rational curve, is introduced at first. ...