A Differentiated Registration Method for Complex Surfaces

Article Preview

Abstract:

Different error requirements on different surfaces are necessary in many situations. If the registration between the measured dataset and the nominal surface is performed ignoring these differences, an inaccurate result could occur due to the surfaces which have low precision. An improper registration even results in false verdict. So the differentiated registration is of significance in precision engineering. In this paper, a new registration method taking into consideration of the different error requirements is proposed. Firstly surfaces are classified based on different error requirement. Then, appropriate weight factors are iteratively given to these surfaces. Based on the change relationship of error and weight factors, the algorithm controls the error distribution by optimizing the weighted least squares. Our method has the great flexibility in distributing the error, which is suitable for engineering applications. The experiment demonstrates the validity.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1635-1638

Citation:

Online since:

October 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] P.J. Besl, N.D. McKay, A method for registration of 3-d shapes, IEEE Transactions on PAMI. 14 (2) (1992)239-256.

Google Scholar

[2] Y.D. Li, P.H. Gu, Inspection of free-form shaped parts, Robotics and Computer-Integrated Manufacturing. 21 (2005) 421-430.

DOI: 10.1016/j.rcim.2004.11.015

Google Scholar

[3] X. Yi, L.M. Ma, L. Zexiang, A Geometric Algorithm for Symmetric Workpiece Localization, Proceedings of the 7thWorld Congress on Intelligent Control and Automation, June 25 - 27, 2008, Chongqing, China.

DOI: 10.1109/wcica.2008.4592864

Google Scholar

[4] Y.F. Dai, S.Y. Chen N.H. Kang, et al, Error calculation for corrective machining with allowance requirements, Int J Adv Manuf Technol. 49 (2010) 635-641.

DOI: 10.1007/s00170-009-2437-5

Google Scholar

[5] Y.W. Sun, J.T. Xu, D.M. Guo, et al, A unified localization approach for machining allowance optimization of complex curved surfaces, Precision Engineering. 33 (2009) 516-523.

DOI: 10.1016/j.precisioneng.2009.02.003

Google Scholar

[6] S.J. Yan, Y.F. Z, F.Y. P, et al, Research on the localisation of the workpieces with large sculptured surfaces in NC machining, International Journal of Advanced Manufacturing Technology. 23(5-6) (2004) 429-435.

DOI: 10.1007/s00170-003-1897-2

Google Scholar

[7] J.F. Chatelain, A level-based optimization algorithm for complex part localization, Precision Engineering. 29 (2) (2005) 197-207.

DOI: 10.1016/j.precisioneng.2004.07.002

Google Scholar

[8] X.Y. Zhu, H. Ding, M.Y. Wang, Form error evaluation: an iterative reweighted least squares algorithm, Trans ASME J Manuf Sci Eng. 126(3) (2004) 535-541.

DOI: 10.1115/1.1765144

Google Scholar