摘要
采用弧度仪测量冰刀弧形具有方便,快捷等优点.对基于弧度仪的冰刀弧形测量与重构方法进行了深入研究,在弧形重构时对比了小弧段切触法,作者提出了基于曲率插值与拟合的迭代重构方法,后者明显优于前者.由于迭代重构得到的冰刀弧形是由大量的型值点表达,故探究了型值点集的圆弧样条拟合方法,对影响拟合误差的圆弧样条参数进行了理论分析和推导,得到了这些参数的调整方法.采用该拟合算法,大幅度地简化了迭代重构得到的冰刀弧形表达,极大地方便了冰刀弧形的描述与加工.上述成果在作者开发的数控冰刀弧形重构系统中得到了应用.
It is convenient and quick when using radian meter to measure skates arc. Measurement and reconstruction method for skate-arc were further studied. In arc reconstruction, the small arc-segment contact method was compared with the iterative reconstruction based on curvature interpolation and fitting put forward in this paper. The latter was obviously superior to the former. The skate arc shape generated from the above iterative reconstruction was expressed by use of a large number of data points, so arc-spline fitting method for data points was deeply studied. These parameters to affect the fitting error of arc- spline were detailedly analyzed and deduced. The adjustment method about these parameters was obtained. When using this fitting method, the skate arc expression generated from iterative reconstruction was greatly simplified. It＇ s very convenient for description and processing for skate arc shape. The above achievement was applied in the NC skates reconstruction system developed by the author.
出处
《湖南科技大学学报（自然科学版）》
北大核心
2017年第3期22-28,共7页
Journal of Hunan University of Science And Technology：Natural Science Edition
基金
湖南省自然科学基金资助项目(13JJ4082)
湖南省科技计划资助项目(2010TP4003-6
2012TP4023-4)
关键词
冰刀测量
冰刀弧形重构
迭代修正
圆弧样条拟合
skate measurement
reconstruction for skate-arc
iterative correction
arc-spline fitting
