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Verification of the indoor GPS system, by comparison with calibrated coordinates and by angular reference

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Abstract

This paper details work carried out to verify the dimensional measurement performance of the Indoor GPS (iGPS) system; a network of Rotary-Laser Automatic Theodolites (R-LATs). Initially tests were carried out to determine the angular uncertainties on an individual R-LAT transmitter-receiver pair. A method is presented of determining the uncertainty of dimensional measurement for a three dimensional coordinate measurement machine. An experimental procedure was developed to compare three dimensional coordinate measurements with calibrated reference points. The reference standard used to calibrate these reference points was a fringe counting interferometer with the multilateration technique employed to establish three dimensional coordinates. This is an extension of the established technique of comparing measured lengths with calibrated lengths. The method was found to be practical and able to establish that the expanded uncertainty of the basic iGPS system was approximately 1 mm at a 95% confidence level. Further tests carried out on a highly optimized version of the iGPS system have shown that the coordinate uncertainty can be reduced to 0.25 mm at a 95% confidence level.

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Abbreviations

iGPS:

indoor GPS

R-LAT:

Rotary-Laser Automatic Theodolite

MCS:

Monte-Carlo Simulation

NPL:

The National Physical Laboratory

References

  • Anchini, R., Di Leo, G., Liguori, C., Paolillo, A., Pietrosanto, A., & Strazzullo, G. (2007). Metrological verification of 3D scanners: A preliminary approach. San Jose, CA, United States, SPIE - International Society for Optical Engineering, Bellingham WA, WA 98227-0010, United States.

  • ASME. (2006). Performance evaluation of laser-based spherical coordinate measurement systems. B89.4.19.

  • BSI – British Standards Institution. (2002). Geometrical product specifications (GPS)—acceptance and reverification tests for coordinate measuring machines (CMM)—Part 2: CMMs used for measuring size. BS EN ISO 10360-2:2002.

  • BSI (1995). General metrology—Part 3: Guide to the expression of uncertainty in measurement (GUM). PD 6461-3.

  • Calkins, J. M. (2002). Quantifying coordinate uncertainty fields in coupled spatial measurement systems mechanical engineering. Blacksburg: Virginia Polytechnic Institute and State University. PhD: 226.

  • Estler W. T., Edmundson K. L., Peggs G. N., Parker D. H. (2002) Large-scale metrology—an update. CIRP Annals—Manufacturing Technology 51(2): 587–609

    Article  Google Scholar 

  • Faro. (2007). Faro Laser Tracker Xi. 2008.

  • Flack D. (2001) Measurement good practice Guide No. 42: CMM verification. National Physical Laboratory, Teddington

    Google Scholar 

  • Hedges, T. M., Takagi, H., Pratt, T., & Sobel, M. J. (2003). Position measurement system and method using cone math calibration. U.S. Patent, Arc Second

  • Hughes, B., Forbes, A., Sun, W., Maropoulos, P. G., Muelaner, J. E., Jamshidi, J. & Wang Z. (2010). iGPS capability study. NPL Report. Teddington, NPL: 35.

  • Joshi, P., Imadabathuni, M., He, D., Al-Kateb, M. & Bechhoefer, E. (2009). Application of the condition based maintenance checking system for aircrafts. Journal of Intelligent Manufacturing 1–12.

  • Kapanoglu, M., Alikalfa, M., Ozkan, M., Yazıcı, A., & Parlaktuna, O. (2010) A pattern-based genetic algorithm for multi-robot coverage path planning minimizing completion time. Journal of Intelligent Manufacturing, 1–11.

  • Lau K., Hocken R., Haight W. (1985) Automatic laser tracking interferometer system for robot metrology. Interlaken, Switz

    Google Scholar 

  • Metris. (2007). Training document iGPS & WorkSpace.

  • Metris. (2007). WorkSpace.

  • Muelaner J. E., Wang Z., Jamshidi J., Maropoulos P. G., Mileham A. R., Hughes E. B., Forbes A. B. (2008) Study of the uncertainty of angle measurement for a rotary-laser automatic theodolite (R-LAT). IMechE Part B: Journal of Engineering Manufacture 223(B3): 217–229

    Google Scholar 

  • Muelaner J. E., Wang Z., Martin O., Jamshidi J., Maropoulos P. G. (2009) Estimation of uncertainty in three dimensional coordinate measurement by comparison with calibrated points. Measurement Science and Technology 21(025106): 9

    Google Scholar 

  • New River Kinematics. (2007). SpatialAnalyzer.

  • Richard, S. & Kendall, B. (2006). Chirped coherent laser radar system and method.

  • Schwenke H., Franke M., Hannaford J., Kunzmann H. (2005) Error mapping of CMMs and machine tools by a single tracking interferometer. CIRP Annals - Manufacturing Technology 54(1): 475–478

    Article  Google Scholar 

  • Tang, F., You I., Guo, S., Guo, M., & Ma, Y. (2010). A chain-cluster based routing algorithm for wireless sensor networks. Journal of Intelligent Manufacturing, 1–9.

  • Triggs, B., Mclauchlan, P., Hartley, R., & Fitzgibbon, A. (1999). Bundle adjustment—a modern synthesis. Vision algorithms: Theory and practice, international workshop on vision algorithms. Corfu, Greece

  • VDI/VDE-Gesellschaft Mess- und Automatisierungstechnik. (2002). Optical 3D measuring systems – Imaging systems with point-by-point probing. VDI/VDE 2634 Part 1.

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Correspondence to J. E. Muelaner.

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This is an expanded version of the paper originally presented at the 6th International Conference on Digital Enterprise Technology in Hong Kong 14–16 December 2009 and titled “Verification of the indoor GPS system by comparison with points calibrated using a network of laser tracker measurements”.

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Muelaner, J.E., Wang, Z., Martin, O. et al. Verification of the indoor GPS system, by comparison with calibrated coordinates and by angular reference. J Intell Manuf 23, 2323–2331 (2012). https://doi.org/10.1007/s10845-010-0488-y

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  • DOI: https://doi.org/10.1007/s10845-010-0488-y

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