A vision measurement model of laser displacement sensor and its calibration method

Abstract Laser displacement sensors (LDSs) use a triangulation measurement model in general. However, the non-linearity of the triangulation measurement model influences the measurement accuracy of the LDS, and the geometric parameters calibration process of the components of the LDS is tedious. In this paper, we present a vision measurement model of the LDS based on the perspective projection principle. Furthermore, a corresponding calibration method is proposed. A planar target with featured lines is moved by a 2D moving platform to some preset known positions. At each position, the world coordinates of calibration points are obtained by the cross ratio invariance principle and the linear array camera of the LDS is used for collecting target images. The simulations verify the effectiveness of the proposed model and the feasibility of the calibration method. The experimental results indicate that the calibration method achieves a calibration accuracy of 0.026 mm. Compared with the traditional measurement model, the vision measurement model of the LDS is more comprehensive and avoids a linear approximation procedure, and the corresponding calibration method is easily complemented.

[1]  Liang Bin High accuracy error compensation algorithm for star image sub-pixel subdivision location , 2010 .

[2]  Chiaki Tanaka,et al.  Locating and identifying splits and holes on sugi by the laser displacement sensor , 2003, Journal of Wood Science.

[3]  Toyohiko Hayashi,et al.  Calibration of Linear CCD Cameras Used in the Detection of the Position of the Light Spot , 1993 .

[4]  Chensong Dong A regression model for analysing the non-linearity of laser triangulation probes , 2012 .

[5]  Zhang Haibo,et al.  Laser Trianglation Displacement Measurement Method Using Prism-Based Optical Structure , 2008, 2008 IEEE Conference on Robotics, Automation and Mechatronics.

[6]  R. A. Owens,et al.  Calibrating a Structured Light Stripe System: A Novel Approach , 1999, International Journal of Computer Vision.

[7]  Kefu Xue,et al.  A non-linear transform technique for a camera and laser 3-D scanner , 1995, Proceedings of the IEEE 1995 National Aerospace and Electronics Conference. NAECON 1995.

[8]  Zhou Fu-qiang Uncertainty Analysis of Constructing Calibration Points Based on Invariance of Cross Ratio , 2006 .

[9]  Theodore D. Doiron,et al.  Performance evaluation experiments on a laser spot triangulation probe , 2012 .

[10]  Shin Oya Measurement of the vibrating shape of a bimorph deformable mirror using a laser displacement sensor , 2009 .

[11]  Chiaki Tanaka,et al.  Evaluation of surface smoothness by a laser displacement sensor II: comparison of lateral effect photodiode and multielement array , 2004, Journal of Wood Science.

[12]  Taira Miyasaka,et al.  Dimensional change measurements of conventional and flowable composite resins using a laser displacement sensor. , 2009, Dental materials journal.

[13]  G. Häusler,et al.  Laser triangulation: fundamental uncertainty in distance measurement. , 1994, Applied optics.

[14]  Guang Yong Yang,et al.  Nonlinear Optimization of Structure and Calibration for Scattered Triangulation Laser Displacement Measurement , 2011 .

[15]  Drago Bračun,et al.  A method for surface quality assessment of die-castings based on laser triangulation , 2008 .

[16]  Zhengyou Zhang,et al.  A Flexible New Technique for Camera Calibration , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[17]  Zhang Hong-tao Study on Calibration of Linear CCD Based on Two Steps , 2007 .