Numerical Comparison of Two Main Parametric Methods in Curve Approximation

This article has conducted deep research to the subdivision curve parametrization scheme of the literature [1]. It first uses 4-point interpolatory subdivision scheme to carry on k times subdivision to the initial control polygon \( \{ P_{i}^{0} \}_{i = 0}^{n} \) of subdivision curve parametrization scheme, after calculates the parameter value of these sampled point, then makes a comprehensive numerical comparison between the subdivision curve parametrization and the chordal parametrization which has been considered the best parametrization method with Parametric cubic spline interpolation scheme.