Propagation of an Unmodeled Additive Constant in Range Sensor Observations
Publication: Journal of Surveying Engineering
Volume 136, Issue 3
Abstract
The rangefinder offset, additive constant or zero error is the most basic systematic error affecting the accuracy range measurements. Recent investigations of different systems that feature range measurement have shown that minimally constrained self-calibration adjustments of observations corrupted by an unmodeled rangefinder offset yield near-linear patterns in the range-observation residuals. This paper explains the underlying mathematical cause of this phenomenon for the purpose of assisting systematic error model identification. As a result of the mathematical derivations a new improved (in terms of parameter correlation) method for estimating the rangefinder offset from the sum of residuals of a least-squares adjustment of biased range observations has been developed. The new method is successfully demonstrated on data collected with total stations and ultrawide band ranging radios over two one-dimensional baselines.
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Acknowledgments
This research was supported by the Natural Science and Engineering Research Council of Canada (NSERC). The writers thank G. MacGougan for data collection assistance.
References
Federal Communications Commission (FCC). (2005). “Revision of part 15 of the commission’s rules regarding ultra-wideband transmission systems.” Second Rep. and Order and Second Memorandum Option and Order in ET Docket No. 98-153, Washington, D.C.
Fédération Internationale des Géomètres (FIG). (1994). “Recommended procedures for routine checks of electro-optical distance meters.” FIG Technical Monograph 9, Frederiksberg, Denmark.
Gottwald, R. (2008). “Field procedures for testing terrestrial laser scanners (TLS)—A contribution to a future ISO standard.” Proc., FIG Working Week 2008, Fédération Internationale des Géomètres (FIG), Copenhagen, Denmark.
“High-end total stations.” (2009).GIM International, 23(6), 46–55.
Kahlmann, T., Remondino, F., and Ingensand, H. (2006). “Calibration for increased accuracy of the range imaging camera SwissRanger.” International Archives of Photogrammetry, Remote Sensing and Spatial Information Sciences, 36 (Part 5), 136–141.
Karel, W. (2008). “Integrated range camera calibration using image sequences from hand-held operation.” International Archives of Photogrammetry, Remote Sensing and Spatial Information Sciences, 37 (Part B5), 945–951.
Karel, W., and Pfeifer, N. (2009). “Range camera calibration based on image sequences and dense, comprehensive error statistics.” Proc., SPIE. 3D Imaging Metrology. Vol. 7239, SPIE, Bellingham, Wash., 72390D1.
Kelly, D., Reinhardt, S., Stanley, R., and Einhorn, M. (2002). “PulsON second generation timing chip: Enabling UWB through precise timing.” Proc., 2002 IEEE Conf. on Ultra Wideband Systems and Technologies, IEEE, Piscataway, N.J., 117–121.
Kersten, T. P., Sternberg, H., and Mechelke, K. (2005). “Investigations into the accuracy behaviour of the terrestrial laser scanning system Mensi GS100.” A. Grün and H. Kahmen, eds., Proc., Optical 3-D Measurement Techniques VII, Vol. I, 122–131.
Lange, R., and Seitz, P. (2001). “Solid-state time-of-flight range camera.” IEEE Transactions on Quantum Electronics., 37(3), 390–397.
Lichti, D. D. (2007). “Modelling, calibration and analysis of an AM-CW terrestrial laser scanner.” ISPRS J. Photogramm. Remote Sens., 61(5), 307–324.
Lichti, D. D. (2008). “Self-calibration of a 3D range camera.” Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci., 37(Part B5), 927–932.
Lichti, D. D., and Lampard, J. (2008). “Reflectorless total station self-calibration.” Surv. Rev., 40(309), 244–259.
Lichti, D. D., and Licht, M. G. (2006). “Experiences with terrestrial laser scanner modelling and accuracy assessment.” Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci., 36 (Part 5), 155–160.
MacGougan, G., O’Keefe, K., and Klukas, R. (2009). “UWB ranging and ranging measurement accuracy.” Measurement Science and Technology, 20(9), 1–13.
Mesa Imaging. (2009). SR4000 user’s manual version 0.1.2.2, Zürich, Switzerland.
Petroff, A., Rienhardt, R., Stanley, R., and Beeler, B. (2003). “PulsON P200 UWB radio: Simulation and performance results.” Proc., 2003 IEEE Conf. on Ultra Wideband Systems and Technologies, IEEE, Piscataway, N.J., 344–348.
Priam, Š., and Pecár, J. (1985). “Optimization of determining the additional constant of an electronic distance meter.” Stud. Geophys. Geod., 29(2), 127–138.
Reshetyuk, Y. (2006). “Calibration of terrestrial laser scanners Callidus 1.1, Leica HDS 3000 and Leica HDS 2500.” Surv. Rev., 38(302), 703–713.
Rüeger, J. M. (1976). “Remarks on the joint determination of zero error and cyclic error for EDM instrument calibration.” The Australian Surveyor, 28(2), 96–103.
Rüeger, J. M. (1990). Electronic distance measurement: An introduction, 3rd Ed., Springer, Heidelberg, Germany.
Rüeger, J. M. (2003). Electronic surveying instruments—A review of principles, problems and procedures, Univ. of New South Wales, Sydney, Australia.
Schneider, D., and Schwalbe, E. (2008). “Integrated processing of terrestrial laser scanner data and fisheye-camera image data.” Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci., 37 (Part B5), 1037–1043.
“Terrestrial laser scanners.” (2009). GIM International, 23(8), 62–67.
Voegtle, T., Schwab, I., and Landes, T. (2008). “Influences of different materials on the measurements of a terrestrial laser scanner (TLS).” Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci., 37 (Part B5), 1061–1066.
Information & Authors
Information
Published In
Journal of Surveying Engineering
Volume 136 • Issue 3 • August 2010
Pages: 111 - 119
Copyright
© 2010 ASCE.
History
Received: Jun 15, 2009
Accepted: Dec 23, 2009
Published online: Dec 29, 2009
Published in print: Aug 2010
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