Fast algorithm of the robust Gaussian regression filter for areal surface analysis

作     者：Zeng, W. Jiang, X. Scott, P. J. 

作者机构：Univ Huddersfield Ctr Precis Technol Sch Comp & Engn Huddersfield HD1 3DH W Yorkshire England Taylor Hobson Ltd Leicester LE4 9JQ Leics England 

出 版 物：《MEASUREMENT SCIENCE AND TECHNOLOGY》 (测量科学与技术)

年 卷 期：2010年第21卷第5期

页      面：055108-055108页

核心收录：

学科分类：08[工学] 080401[工学-精密仪器及机械] 0804[工学-仪器科学与技术] 081102[工学-检测技术与自动化装置] 0811[工学-控制科学与工程] 

基　　金：EPSRC UK [EP/F032242/1] Royal Society European Research Council [ERC-2008-AdG 228117-Surfund] EPSRC [EP/F032242/1] Funding Source: UKRI 

主　　题：surface characterization areal surface analysis Gaussian regression filter fast algorithm robust filter 

摘      要：In this paper, the general model of the Gaussian regression filter for areal surface analysis is explored. The intrinsic relationships between the linear Gaussian filter and the robust filter are addressed. A general mathematical solution for this model is presented. Based on this technique, a fast algorithm is created. Both simulated and practical engineering data (stochastic and structured) have been used in the testing of the fast algorithm. Results show that with the same accuracy, the processing time of the second-order nonlinear regression filters for a dataset of 1024*1024 points has been reduced to several seconds from the several hours of traditional algorithms.