一般样条滤波器及其在表面计量中的应用  

A General Spline Filter and Its Applications in Surface Metrology

作　　者：朴伟英[1] 袁怡宝[2] 林海军[1] 许景波[1] 

机构地区：[1]哈尔滨理工大学,哈尔滨150080 [2]哈尔滨工业大学,哈尔滨150001

出　　处：《中国机械工程》2015年第20期2729-2732,共4页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(61179024);黑龙江省基金资助项目(12541152)

摘　　要：提出了样条滤波器的一般化表达式,由该表达式可以构造线性样条滤波器、稳健样条滤波和一般样条滤波器。一般样条滤波器保留了部分线性样条滤波器的特性,又具有稳健性。采用Tucky估计,分别采用一般样条滤波器、线性样条滤波器与稳健样条滤波器在表面计量中进行了对比实验,实验结果表明:当表面存在明显的深谷和尖峰时,采用稳健样条滤波器更为合适;当表面近似服从正态分布时,三种滤波器得到的表面粗糙度参数比较接近。A general expression of spiine filter was proposed and the linear spline filter, robust spline filter and general spline filter could be derived from this expression. The general spline filter kept the characteristics of the linear spline filter partly, and had the characteristics of robustness. Using Tucky estimation,all of the three kinds of spline filter were compared in surface metrology. The experimental results show that the rubost spline filter is more suitable while there are some deep valleys and high peaks in the surface; the roughness parameters of all spline filters are close while the surface approximately fits normal distribution.

关 键 词：表面计量 样条滤波器 稳健性 滤波中线 

分 类 号：TB921[一般工业技术—计量学]