稳健样条滤波快速算法及其在磨损表面的应用研究
2021-02-23
作者:张一兵1,许家铭1,胡瑞2 单位:1武汉理工大学;2南昌工程学院
摘要:基于国际标准 ISO/TS16610-22中提出的样条滤波理论,针对磨损表面形貌数据量庞大导致滤波方程
求解时间长的问题,提出了一种基于追赶法的样条滤波快速算法。通过对磨损表面的仿真和实验测量数据的滤波
进行计算,结果表明:该算法计算效率高、占用内存少;将该算法应用于基于 M估计的稳健样条滤波求解中,既能
有效避免因磨损表面畸变特征引起的滤波失真,又能获得较高的计算效率。
关键词:磨损表面;样条滤波;稳健性;粗糙度;M估计
中图分类号:TG702;TH117.1 文献标志码:A
DOI:10.3969/j.issn.1000-7008.2021.01.018
ResearchandApplicationonFastAlgorithm ofRobustSplineFiltering
inWearingSurface
ZhangYibing,XuJiaming,HuRui
Abstract:BasedonthesplinefilteringtheoryproposedintheinternationalstandardISO/TS1661022,afastalgo
rithmofsplinefilteringbasedonthecatchupmethodisproposedtosolvetheproblemthatthelargeamountofwornsurface
topographydataleadstoalongtimetosolvethefilterequation.Thecalculationresultsofthesimulationofthewornsurface
andthefilteringcalculationoftheexperimentalmeasurementdatashowthatthealgorithmhashighcalculationefficiency
andlessmemory.ThealgorithmisappliedtotherobustsplinefilteringsolutionbasedonMestimation,whichcaneffectively
avoidthedistortioncharacteristicsofthewornsurfaceandalsoobtainhighercalculationefficiency.
Keywords:wornsurface;splinefiltering;robustness;roughness;Mestimate