截面轮廓曲线分段约束拟合  

Fitting Planar Curves with Restraint Method

作　　者：胡魁贤[1] 严宏志[1] 朱自冰[2] 杨振容[2] 蒋燕英[2] 

机构地区：[1]中南大学机电工程学院,湖南长沙410083 [2]中国航空动力机械研究所,湖南株洲412004

出　　处：《计算机工程与科学》2009年第7期53-56,共4页Computer Engineering & Science

基　　金：国家973计划资助项目(2005CB724104)

摘　　要：本文以线段和圆弧为逼近基元对封闭的截面曲线进行分段拟合,给出了曲线的拟合算法和逼近误差的分析表达式。在对截面曲线分界点进行迭代寻优后,得到了综合累积误差最小的分界点,并以此进行截面曲线的分段拟合;针对拟合所得的曲线,提出了具体的约束修正方法。通过实例分析表明,该算法简单有效,能较好地解决以线段和圆弧为基元的截面曲线拟合问题。Demarcation points from a curve with the least number of segments （lines and arcs） are extracted, and each of them can be fitted into a line or arc with the least errors. As a result, the method of curve fitting with geometric constraints is discussed. Finally, an example of cross-section reconstruction is given to show the method can represent well a curve with lines and arcs,and the algorithm is effective and robust.

关 键 词：曲线拟合 分界点 误差分析 几何约束 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]