  B\'ezier splines are widely available in various systems with the curves and
surface designs. In general, the B\'ezier spline can be specified with the
B\'ezier curve segments and a B\'ezier curve segment can be fitted to any
number of control points. The number of control points determines the degree of
the B\'ezier polynomial. This paper presents a method which determines control
points for B\'ezier curves approximating segments of obtained image
outline(non-parametric curve) by using the properties of cubic B\'ezier curves.
Proposed method is a technique to determine the control points that has
generality and reduces the error of the B\'ezier curve approximation. Main
advantage of proposed method is that it has higher accuracy and compression
rate than previous methods. The cubic B\'ezier spline is obtained from cubic
B\'ezier curve segments. To demonstrate the various performances of the
proposed algorithm, experimental results are compared.
