<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Multilateration measurement using laser trackers suffers from a cumbersome solution method for high-precision measurements. Errors are induced by the self-calibration routines of the laser tracker software. This paper describes an optimization solution model for laser tracker multilateration measurement, which effectively inhibits the negative effect of this self-calibration, and further, analyzes the accuracy of the singular value decomposition for the described solution model. Experimental verification for the solution model based on laser tracker and coordinate measuring machine (CMM) was performed. The experiment results show that the described optimization model for laser tracker multilateration measurement has good accuracy control, and has potentially broad application in the field of laser tracker spatial localization.</p></abstract>

Multilateration measurement using laser trackers suffers from a cumbersome solution method for high-precision measurements. Errors are induced by the self-calibration routines of the laser tracker software. This paper describes an optimization solution model for laser tracker multilateration measurement, which effectively inhibits the negative effect of this self-calibration, and further, analyzes the accuracy of the singular value decomposition for the described solution model. Experimental verification for the solution model based on laser tracker and coordinate measuring machine (CMM) was performed. The experiment results show that the described optimization model for laser tracker multilateration measurement has good accuracy control, and has potentially broad application in the field of laser tracker spatial localization.

Optimization Method for Solution Model of Laser Tracker Multilateration Measurement

Beijing Engineering Research Center of Precision Measurement Technology and Instruments, College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100000, China

Measurement Science Review

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Multilateration measurement using laser trackers suffers from a cumbersome solution method for high-precision measurements. Errors are induced by the...

Optimization Method for Solution Model of Laser Tracker Multilateration Measurement

Published Online: Aug 19, 2016

Page range: 205 - 210

Received: Jan 03, 2016

Accepted: Aug 10, 2016

DOI: https://doi.org/10.1515/msr-2016-0025

Keywords
Multilateration measurement, solution model, singular value decomposition, laser tracker

© 2016 Hongfang Chen et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Optimization Method for Solution Model of Laser Tracker Multilateration Measurement

Published Online: Aug 19, 2016

Page range: 205 - 210

Received: Jan 03, 2016

Accepted: Aug 10, 2016

DOI: https://doi.org/10.1515/msr-2016-0025

KeywordsMultilateration measurement, solution model, singular value decomposition, laser tracker

© 2016 Hongfang Chen et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Multilateration measurement, solution model, singular value decomposition, laser tracker