A Robust Gaussian Filtering Method in Surface Measurement Based on Gross Error Estimation
XU Jing-bo1,NIE Jia-li2,WANG Sheng1,XU Jin1
1.School of Measure-control Technology & Communication Engineering, Harbin University of Science and Technology, Harbin, Heilongjiang 150080, China
2.Harbin Dongan Auto Engine Co. Ltd, Harbin, Heilongjiang 150060, China
Abstract:A new robust filtering method for surface measurement is presented, which combines closely gross error estimation with Gaussian filtering method. Firstly, the abnormal signal is judged, identified and corrected by kσ criterion, and the corresponding algorithm is described in detail. Then Gaussian filter is designed through moving average approximation method to establish the mean line of surface profile. Finally, surface roughness profile is separated based on the original profile and the obtained mean line. The method has simple algorithm which is easy to realize, it can effectively restrain surface abnormal signal, and achieves robust filtering.
[1]ISO 16610-2006 Geometrical product specifications (GPS)-Filtration-Part 1: Overview and basic concepts[S].
[2]Jiang X J, Whitehouse D J. Technological shifts in surface metrology[J]. CIRP Annals-Manufacturing Technology, 2012,61:815-836.
[3]Dobrzanski P, Pawlus P. Digital filtering of surface topography: Part I[J]. Prec Eng, 2010,34(3): 647-650.
[4]Dobrzanski P, Pawlus P. Digital filtering of surface topography: Part II[J]. Prec Eng, 2010,34(3): 651-658.
[5]Markov B N, Shulepov A V. Robust filtering algorithms for roughness profiles[J]. Measurement Techniques,2015,58(7):730-735.
[6]任志英,高诚辉,林建兴,等. 复合评定法在三维粗糙表面评定中的应用[J].计量学报,2014, 35(5): 414-419.
[7]马晓骎,马戎,张雪萍,等.平台珩磨加工参数对缸孔表面粗糙度的影响[J].机械设计与研究,2015,(3):114-117.
[8]刘斌,冯其波,匡萃方.表面粗糙度测量方法综述[J].光学仪器,2004,26(5):54-58.
[9]余剑.高精度智能测量系统中粗大误差的处理技术[J].测试技术学报,2003,17(3):258-261.
[10]宋美娇,唐常杰,乔少杰,等.基于局部K-距离的靶场异常数据检测算法[J].四川大学学报(自然科学版),2008,45(6):1337-1340.
[11]许景波,袁怡宝,朴伟英,等.表面粗糙度测量中的高斯滤波快速算法[J].计量学报,2005,26(4):309-312.
[12]Cheney W, Light W. 逼近理论[M]. 北京:机械工业出版社,2004.
[13]Janecki D. Gaussian filters with profile extrapolation[J]. Prec Eng. 2011,35(4): 602~606.
[14]Golestan S, Ramezani M, Guerrero J M, et al. Moving average filter based phase-locked loops: performance analysis and design guidelines[J]. IEEE Transactions on Power Electronics, 2014,29(6):2750-2763.
[15]International Organization for Standardization. ISO 13565-1:1996 Geometrical Product Specifi cations(GPS). Surface Texture: Profile Method; Surfaces Having Stratified Functional Properties. Part I: Filtering and General Measurement Conditions[S].