Details
Original language | English |
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Title of host publication | Optics and Photonics for Advanced Dimensional Metrology |
Editors | Peter J. de Groot, Richard K. Leach, Pascal Picart |
Place of Publication | Bellingham |
Publisher | SPIE |
Number of pages | 11 |
ISBN (electronic) | 978-1-5106-3477-0 |
Publication status | Published - 1 Apr 2020 |
Event | Optics and Photonics for Advanced Dimensional Metrology - Online Only, France Duration: 6 Apr 2020 → 10 Apr 2020 |
Publication series
Name | Proceedings of SPIE - The International Society for Optical Engineering |
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Volume | 11352 |
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
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
- Mathematics(all)
- Applied Mathematics
- Engineering(all)
- Electrical and Electronic Engineering
- Computer Science(all)
- Computer Science Applications
Cite this
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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 proceeding › Conference contribution › Research
}
TY - GEN
T1 - Model-based calibration routine for a triangulation sensor for inner radius measurements of cylindrical components
AU - Beermann, Rüdiger
AU - Bossemeyer, Hagen
AU - Diekmann, Robin
AU - Kästner, Markus
AU - Reithmeier, Eduard
PY - 2020/4/1
Y1 - 2020/4/1
N2 - 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.
AB - 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.
KW - 3D measurement
KW - Cone mirror
KW - Cylinder
KW - Inner radius measurement
KW - Triangulation
UR - http://www.scopus.com/inward/record.url?scp=85105503433&partnerID=8YFLogxK
U2 - 10.1117/12.2552729
DO - 10.1117/12.2552729
M3 - Conference contribution
T3 - Proceedings of SPIE - The International Society for Optical Engineering
BT - Optics and Photonics for Advanced Dimensional Metrology
A2 - de Groot, Peter J.
A2 - Leach, Richard K.
A2 - Picart, Pascal
PB - SPIE
CY - Bellingham
T2 - Optics and Photonics for Advanced Dimensional Metrology
Y2 - 6 April 2020 through 10 April 2020
ER -