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Derivation of a Coordinate System of Three Laser Triangulation Sensors in a Plane

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Numerical Methods and Applications (NMA 2018)

Abstract

The paper discusses the derivation of an accurate coordinate measuring system based on the records of three fixed laser triangulation sensors done for a workpiece in movement.

The influence of the measurement and rounding inaccuracy on the identification accuracy using numerical simulation methods are assessed.

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Notes

  1. 1.

    An accuracy better than 0.01 mm could be considered as sufficient in practice.

  2. 2.

    Here the double precision data rounded to \(10^{-7}\) mm (1 Å) are considered to be “exact”.

  3. 3.

    The output format is slightly modified.

References

  1. Weckenmann A., Kraemer P., Hoffmann J.: Manufacturing metrology – state of the art and prospects. In: 9th International Symposium on Measurement and Quality Control (9th ISMQC), 21–24 November 2007, 7 p. IIT Madras (2007)

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  2. MTI Instruments. https://www.mtiinstruments.com/technology-principles/laser-triangulation-sensors/. Accessed 29 April 2018

  3. Micro-epsilon sensors. https://www.micro-epsilon.com/. Accessed 29 April 2018

  4. Berkovic, G., Shafir, E.: Optical methods for distance and displacement measurements. Adv. Opt. Photonics 4, 441–471 (2012). https://doi.org/10.1364/AOP.4.000441

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  5. AZO Sensors. An Introduction to Laser Triangulation Sensors. https://www.azosensors.com/article.aspx?ArticleID=523. Accessed 29 April 2018

  6. Gauge block. https://en.wikipedia.org/wiki/Gauge_block. Accessed 29 April 2018

  7. GNU Octave. https://www.gnu.org/software/octave/. Accessed 1 May 2018

  8. Matlab. https://www.mathworks.com/products/matlab.html. Accessed 1 May 2018

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Acknowledgements

Work supported within the project VEGA 1/0224/18 “Research and development of testing and measuring methods in coordinate metrology”. The authors are grateful to Gheorghe Adam for fruitful discussion and advice.

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Correspondence to Ján Buša .

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Buša, J., Dovica, M., Kačmár, L. (2019). Derivation of a Coordinate System of Three Laser Triangulation Sensors in a Plane. In: Nikolov, G., Kolkovska, N., Georgiev, K. (eds) Numerical Methods and Applications. NMA 2018. Lecture Notes in Computer Science(), vol 11189. Springer, Cham. https://doi.org/10.1007/978-3-030-10692-8_7

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  • DOI: https://doi.org/10.1007/978-3-030-10692-8_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-10691-1

  • Online ISBN: 978-3-030-10692-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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