摘要
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 pr ocessing and reverse engineering. In B-spline curve fitting, the parametrizatio n of data points is a key problem. In this paper, an ICP-based algorithm to rec tify the parameter values of data points is presented. The ICP algorithm always converges monotonically to the nearest local minimum. The proof of the convergen ce theorem is given. The analysis of experimental results demonstrates the valid ity and robustness of our algorithm.
出处
《中国图象图形学报（A辑）》
CSCD
2000年第7期585-588,共4页
Journal of Image and Graphics
基金
国家自然科学基金!( 69775 0 0 5 )
国家教委跨世纪优秀人才基金
关键词
B样条
曲线拟合
迭代最近点
计算机图象处理
B-spline, Curve fitting, ICP(Iterative Closest Point), Parame ter rectification
