Planar Quadric Curve Reconstruction Based on Control Points Perturbation

A new algorithm is presented in this paper for piecewise quadric B-splines curve reconstruction from scattered data in a plane.The algorithm iteratively perturbs every control point to reshape the control net by inputting data points one by one.The final control net is obtained by solving a nonlinear optimal problem.A series of tests show that the algorithm will converge shortly after several iterations.The algorithm described here is simple,fast and intuitive,and achieves very good results when reconstructing curves from planar scattered data with different shapes and varying sampling errors.