曲线拟合在图象处理、逆向工程应用等领域中有着重要意义.由于对于B样条参数曲线拟合,数据点的参数化直接影响着拟合的精度,因此提出了一种基于迭代最近点的方法来优化修正数据点的参数,并且证明了应用该方法进行曲线拟合具有局部收敛性.通过实验分析,验证了方法的正确性和鲁棒性.

Curve fitting has been applied in many fields such as image processing and reverse engineering. In B-spline curve fitting, the parametrization of data points is a key problem. In this paper, an ICP-based algorithm to rectify the parameter values of data points is presented. The ICP algorithm always converges monotonically to the nearest local minimum. The proof of the convergence theorem is given. The analysis of experimental results demonstrates the validity and robustness of our algorithm.