Approximation of parametric curves by Moving Least Squares method

In this work we propose a method to approximate a parametric curve in Rd. Some distinct points in Rd are given, we assume that these points belong to a parametric curve and our aim is to approximate these data by Moving Least Squares method. We mention several applications of the proposed method to emphasize the importance of the work, also Root Mean Squares errors and Hausdorff distances between the exact curve and its approximation are presented to demonstrate the efficiency and reliability of the method.