Based on the piecewise rational interpolating polynomial monotonicity preserving interpolation, adopting the numerical quadrature to calculate the arc length s(i) at everyone of the ordered vector point on the parametric curve, an approximating scheme for the inverse one of are length function of the parametric curve is constructed, which passes through the n+1 points. A C-2 nearly arc-length parameterization is presented by substituting the approximating scheme for the parameter t. The nearly Arc-length Parameterization passes through the n+1 vector-valued points, and has its accurate arc len...
