OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 6 — Feb. 20, 2010
  • pp: 1001–1006

Method of rotation angle measurement in machine vision based on calibration pattern with spot array

Weimin Li, Jing Jin, Xiaofeng Li, and Bin Li  »View Author Affiliations

Applied Optics, Vol. 49, Issue 6, pp. 1001-1006 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (449 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We propose a method of rotation angle measurement with high precision in machine vision. An area scan CCD camera, imaging lens, and calibration pattern with a spot array make up the measurement device for measuring the rotation angle. The calibration pattern with a spot array is installed at the rotation part, and the CCD camera is set at a certain distance from the rotation components. The coordinates of the spots on the calibration pattern is acquired through the vision image of the calibration pattern captured by the CCD camera. At the initial position of the calibration pattern, the camera is calibrated with the spot array; the mathematical model of distortion error of the CCD camera is built. With the equation of coordinate rotation measurement, the rotation angle of the spot array is detected. In the theoretic simulation, noise of different levels is added to the coordinates of the spot array. The experiment results show that the measurement device can measure the rotation angle precisely with a noncontact method. The standard deviation of rotation angle measurement is smaller than 3   arc   sec . The measurement device can measure both microangles and large angles.

© 2010 Optical Society of America

OCIS Codes
(120.3930) Instrumentation, measurement, and metrology : Metrological instrumentation
(330.1880) Vision, color, and visual optics : Detection
(350.4600) Other areas of optics : Optical engineering
(150.1135) Machine vision : Algorithms
(150.1488) Machine vision : Calibration
(330.7325) Vision, color, and visual optics : Visual optics, metrology

ToC Category:
Machine Vision

Original Manuscript: September 11, 2009
Revised Manuscript: December 9, 2009
Manuscript Accepted: January 20, 2010
Published: February 17, 2010

Weimin Li, Jing Jin, Xiaofeng Li, and Bin Li, "Method of rotation angle measurement in machine vision based on calibration pattern with spot array," Appl. Opt. 49, 1001-1006 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. X. Dai, O. Sasaki, J. E. Greivenkamp, and T. Suzuki, “High accuracy wide range rotation angle measurement by the use of two parallel interference patterns,” Appl. Opt. 36, 6190-6195 (1997). [CrossRef]
  2. W. Wang, G. Liu, Z. Pu, and S. Chen, “Measurement of two-dimensional small angle by means of matrix CCD,” Semiconductor Optoelectron. 25, 134-138 (2004).
  3. C. Kuang, Q. Feng, B. Zhang, Z. Zhang, and S. Chen, “Measurement method of the roll angle,” Proc. SPIE 6150, 61502F (2006). [CrossRef]
  4. L. Li, Q. Yu, Z. Lei, and J. Li, “High-accuracy measurement of rotation angle based on image,” Acta Opt Sin. 25, 491-496(2005).
  5. Y. N. Kuichin, O. B. Vitrik, and A. V. Dyshlyuk, “Stabilized fiber optic sensor for remote measuring angle of inclination,” Proc. SPIE 6595, 65952G (2007). [CrossRef]
  6. C.-H. Liu, W.-Y. Jywe, and S. C. Tzeng, “Simple three-dimensional laser angle sensor for three-dimensional small-angle measurement,” Appl. Opt. 43, 2840-2845 (2004). [CrossRef] [PubMed]
  7. J. A. Muñoz-Rodríguez, A. Asundi, and R. Rodriguez-Vera, “Recognition of a light line pattern by Hu moments for 3-D reconstruction of a rotated object,” Opt. Laser Technol. 37, 131-138 (2005). [CrossRef]
  8. Z. Li, Y. Shi, C. Wang, and Y. Wang, “Accurate calibration method for a structured light system,” Opt. Eng. 47, 053604(2008). [CrossRef]
  9. X. Chen, J. Xi, Y. Jin, and J. Sun, “Accurate calibration for a camera-projector measurement system based on structured light projection,” Opt. Lasers Eng. 47, 310-319 (2009). [CrossRef]
  10. J. A. Muñoz-Rodríguez, “Shape connection by pattern recognition and laser metrology,” Appl. Opt. 47, 3590-3608 (2008). [CrossRef] [PubMed]
  11. J. A. Muñoz-Rodríguez, “Modeling of a mobile setup by networks for object contouring,” Opt. Eng. 47, 053605 (2008). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited