Model-based calibration routine for a triangulation sensor for inner radius measurements of cylindrical components

Research output: Chapter in book/report/conference proceedingConference contributionResearch

Authors

  • Rüdiger Beermann
  • Hagen Bossemeyer
  • Robin Diekmann
  • Markus Kästner
  • Eduard Reithmeier
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Details

Original languageEnglish
Title of host publicationOptics and Photonics for Advanced Dimensional Metrology
EditorsPeter J. de Groot, Richard K. Leach, Pascal Picart
Place of PublicationBellingham
PublisherSPIE
Number of pages11
ISBN (electronic)978-1-5106-3477-0
Publication statusPublished - 1 Apr 2020
EventOptics and Photonics for Advanced Dimensional Metrology - Online Only, France
Duration: 6 Apr 202010 Apr 2020

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume11352
ISSN (Print)0277-786X
ISSN (electronic)1996-756X

Abstract

None-tactile metrology systems for inner radius measurements of cylindrical objects with large diameters are often based on the triangulation principle, using a laser source as illumination unit and a camera as detection unit. Different approaches have been presented in the past in order to generate a complete profile section of the measurement object’s inner radius. A standard light-section sensor cannot provide a 360 view of the radius without sensor rotation around the cylinder axis. The additional rotational axis needs to be calibrated and the captured point clouds registered in a common coordinate frame. To spare the necessity of a rotational axis, we developed a prototype sensor based on the hardware approach suggested, e.g., by Yoshizawa et al., 1 using a cylinder cone mirror and a laser illumination unit in order to generate a ring beam projected onto the inner radius. In combination with a wide-angle camera, the laser line can be captured in one shot. We present a model-based calibration routine for the triangulation sensor by mathematically describing the laser light path. The cone mirror expands the laser light into a disc (plane) or into a cone – depending on the used mirror geometry. In our model, the light cone is parametrized by the right circular cone equation to reduce the number of unknowns in regression calculus. The necessary 3D support points to approximate the model parameter are gained by recording planar calibration pattern poses with and without laser line. The intersection calculation between the camera’s line-of-sight and the projected laser light geometry is derived, and the mathematical ambiguity in the line-cone intersection successfully solved. We present first experimental calibration and measurement data of a cylinder. By intentionally misaligning sensor and cylinder axes with arbitrarily chosen angles, the robustness of the suggested procedure is demonstrated.

Keywords

    3D measurement, Cone mirror, Cylinder, Inner radius measurement, Triangulation

ASJC Scopus subject areas

Cite this

Model-based calibration routine for a triangulation sensor for inner radius measurements of cylindrical components. / Beermann, Rüdiger; Bossemeyer, Hagen; Diekmann, Robin et al.
Optics and Photonics for Advanced Dimensional Metrology. ed. / Peter J. de Groot; Richard K. Leach; Pascal Picart. Bellingham: SPIE, 2020. 113520S (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11352).

Research output: Chapter in book/report/conference proceedingConference contributionResearch

Beermann, R, Bossemeyer, H, Diekmann, R, Kästner, M & Reithmeier, E 2020, Model-based calibration routine for a triangulation sensor for inner radius measurements of cylindrical components. in PJ de Groot, RK Leach & P Picart (eds), Optics and Photonics for Advanced Dimensional Metrology., 113520S, Proceedings of SPIE - The International Society for Optical Engineering, vol. 11352, SPIE, Bellingham, Optics and Photonics for Advanced Dimensional Metrology, 6 Apr 2020. https://doi.org/10.1117/12.2552729
Beermann, R., Bossemeyer, H., Diekmann, R., Kästner, M., & Reithmeier, E. (2020). Model-based calibration routine for a triangulation sensor for inner radius measurements of cylindrical components. In P. J. de Groot, R. K. Leach, & P. Picart (Eds.), Optics and Photonics for Advanced Dimensional Metrology Article 113520S (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11352). SPIE. https://doi.org/10.1117/12.2552729
Beermann R, Bossemeyer H, Diekmann R, Kästner M, Reithmeier E. Model-based calibration routine for a triangulation sensor for inner radius measurements of cylindrical components. In de Groot PJ, Leach RK, Picart P, editors, Optics and Photonics for Advanced Dimensional Metrology. Bellingham: SPIE. 2020. 113520S. (Proceedings of SPIE - The International Society for Optical Engineering). doi: 10.1117/12.2552729
Beermann, Rüdiger ; Bossemeyer, Hagen ; Diekmann, Robin et al. / Model-based calibration routine for a triangulation sensor for inner radius measurements of cylindrical components. Optics and Photonics for Advanced Dimensional Metrology. editor / Peter J. de Groot ; Richard K. Leach ; Pascal Picart. Bellingham : SPIE, 2020. (Proceedings of SPIE - The International Society for Optical Engineering).
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abstract = "None-tactile metrology systems for inner radius measurements of cylindrical objects with large diameters are often based on the triangulation principle, using a laser source as illumination unit and a camera as detection unit. Different approaches have been presented in the past in order to generate a complete profile section of the measurement object{\textquoteright}s inner radius. A standard light-section sensor cannot provide a 360 ◦ view of the radius without sensor rotation around the cylinder axis. The additional rotational axis needs to be calibrated and the captured point clouds registered in a common coordinate frame. To spare the necessity of a rotational axis, we developed a prototype sensor based on the hardware approach suggested, e.g., by Yoshizawa et al., 1 using a cylinder cone mirror and a laser illumination unit in order to generate a ring beam projected onto the inner radius. In combination with a wide-angle camera, the laser line can be captured in one shot. We present a model-based calibration routine for the triangulation sensor by mathematically describing the laser light path. The cone mirror expands the laser light into a disc (plane) or into a cone – depending on the used mirror geometry. In our model, the light cone is parametrized by the right circular cone equation to reduce the number of unknowns in regression calculus. The necessary 3D support points to approximate the model parameter are gained by recording planar calibration pattern poses with and without laser line. The intersection calculation between the camera{\textquoteright}s line-of-sight and the projected laser light geometry is derived, and the mathematical ambiguity in the line-cone intersection successfully solved. We present first experimental calibration and measurement data of a cylinder. By intentionally misaligning sensor and cylinder axes with arbitrarily chosen angles, the robustness of the suggested procedure is demonstrated. ",
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AU - Bossemeyer, Hagen

AU - Diekmann, Robin

AU - Kästner, Markus

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