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B\'ezier splines are widely available in various systems with the curves andsurface designs. In general, the B\'ezier spline can be specified with theB\'ezier curve segments and a B\'ezier curve segment can be fitted to anynumber of control points. The number of control points determines the degree ofthe B\'ezier polynomial. This paper presents a method which determines controlpoints for B\'ezier curves approximating segments of obtained imageoutline(non-parametric curve) by using the properties of cubic B\'ezier curves.Proposed method is a technique to determine the control points that hasgenerality and reduces the error of the B\'ezier curve approximation. Mainadvantage of proposed method is that it has higher accuracy and compressionrate than previous methods. The cubic B\'ezier spline is obtained from cubicB\'ezier curve segments. To demonstrate the various performances of theproposed algorithm, experimental results are compared.

On the mathematic modeling of non-parametric curves based on cubic B\'ezier curves