New Approach for Measured Surface Localization Based on Umbilical Points

作     者：Xiao-Ping Xiao Ming Yin Liang Heng Guo-Fu Yin Zi-Sheng Li 

作者机构：School of Manufacturing Science and Engineering Sichuan University Center of Engineering and Technology Southwest University of Science and Technology School of Manufacturing Science and EngineeringSouthwest University of Science and Technology 

出 版 物：《Chinese Journal of Mechanical Engineering》 (中国机械工程学报（英文版）)

年 卷 期：2017年第30卷第5期

页      面：1203-1215页

核心收录：

学科分类：08[工学] 0804[工学-仪器科学与技术] 

基　　金：Supported by Science and Technology Supporting Projects of China(Grant No.2015BAF27B01) Sichuan Provincial Science and Technology Supporting Program of China(Grant Nos.2014GZ0119,2017GZ0350) Open Research Fund of Key Laboratory of Manufacturing and Automation,Xihua University(Grant No.S2jj2013-042) 

主　　题：Measured surface localization Umbilicalpoints and complex variable Similar surface patchesInitial and accurate localization 

摘      要：Measured surface localization （MSL） is one of the key essentials for the assessment of form error in pre- cision manufacturing. Currently, the researches on MSL have focused on the corresponding relation search between two surfaces, the performance improvement of localization algorithms and the uncertainty analysis of localization. However, low efficiency, limitation of localization algo- rithms and mismatch of multiple similarities of feature points with no prior are the common disadvantages for MSL. In order to match feature points quickly and fulfill MSL efficiently, this paper presents a new localization approach for measured surfaces by extracting the generic umbilics and estimating their single complex variables, describing the match methods of ambiguous relation at umbilics, presenting the initial localization process of one pair matched points, refining MSL on the basis of obtained closet points for some measured points by the improvement directed projection method. In addition, the proposed algorithm is simulated in two different types of surfaces,two different localization types and multiple similar sur- faces, also tested with the part of B-spline surface machined and bottle mould with no knowledge, finally the initial and accurate rigid body transformation matrix, localization errors between two surfaces and execution time are got. The experimental results show that the pro- posed method is feasible, more accurate in localization and high in efficiency. The proposed research can not only improve the accuracy and performance of form error assessment, but also provide an effective guideline for the integration of different types of measured surfaces.