A high accuracy algorithm of displacement measurement for a micro-positioning stage

A high accuracy displacement measurement algorithm for a two degrees of freedom compliant precision micro-positioning stage is proposed based on the computer micro-vision technique. The algorithm consists of an integer-pixel and a subpixel matching procedure. Series of simulations are conducted to verify the proposed method. The results show that the proposed algorithm possesses the advantages of high precision and stability, the resolution can attain to 0.01 pixel theoretically. In addition, the consuming time is reduced about 6.7 times compared with the classical normalized cross correlation algorithm. To validate the practical performance of the proposed algorithm, a laser interferometer measurement system (LIMS) is built up. The experimental results demonstrate that the algorithm has better adaptability than that of the LIMS.

[1]  Jong-Jae Lee,et al.  Real-Time Displacement Measurement of a Flexible Bridge Using Digital Image Processing Techniques , 2006 .

[2]  马立 Ma Li,et al.  Design of micro-positioning stage with flexure hinge , 2014 .

[3]  T. C. Chu,et al.  Three-dimensional displacement measurements using digital image correlation and photogrammic analysis , 1990 .

[4]  Zhao Shufan,et al.  Measurement of short shaft power based on a digital speckle correlation method , 2015 .

[5]  Xianmin Zhang,et al.  A planar 3-DOF nanopositioning platform with large magnification , 2016 .

[6]  Ole Sigmund,et al.  On the Design of Compliant Mechanisms Using Topology Optimization , 1997 .

[7]  Xianmin Zhang,et al.  Displacement measurement system for inverters using computer micro-vision , 2016 .

[8]  Anand Asundi,et al.  Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review , 2009 .

[9]  Peng Zhou,et al.  Subpixel displacement and deformation gradient measurement using digital image/speckle correlation (DISC) , 2001 .

[10]  Garry Berkovic,et al.  Optical methods for distance and displacement measurements , 2012 .

[11]  Xianmin Zhang,et al.  Level Set-Based Topology Optimization of Hinge-Free Compliant Mechanisms Using a Two-Step Elastic Modeling Method , 2014 .

[12]  Yuen Kuan Yong,et al.  Design, Identification, and Control of a Flexure-Based XY Stage for Fast Nanoscale Positioning , 2009, IEEE Transactions on Nanotechnology.

[13]  K. Abdel-Malek,et al.  Compliant mechanism design using multi-objective topology optimization scheme of continuum structures , 2005 .

[14]  Xianmin Zhang,et al.  Input coupling analysis and optimal design of a 3-DOF compliant micro-positioning stage , 2008 .

[15]  Jianwen Luo,et al.  A fast normalized cross-correlation calculation method for motion estimation , 2010, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[16]  Steven L. Tanimoto,et al.  Template matching in pyramids , 1981 .

[17]  Robert Bogue Three‐dimensional measurements: a review of technologies and applications , 2010 .

[18]  Du-Ming Tsai,et al.  Fast normalized cross correlation for defect detection , 2003, Pattern Recognit. Lett..

[19]  Bijan Shirinzadeh,et al.  Robust Adaptive Constrained Motion Tracking Control of Piezo-Actuated Flexure-Based Mechanisms for Micro/Nano Manipulation , 2011, IEEE Transactions on Industrial Electronics.

[20]  Xianmin Zhang,et al.  Design of single-axis flexure hinges using continuum topology optimization method , 2014 .

[21]  Jean-José Orteu,et al.  3-D computer vision in experimental mechanics , 2007 .

[22]  Kurt Maute,et al.  Level-set methods for structural topology optimization: a review , 2013 .

[23]  David J. Fleet,et al.  Performance of optical flow techniques , 1994, International Journal of Computer Vision.

[24]  G. Allaire,et al.  Structural optimization using sensitivity analysis and a level-set method , 2004 .

[25]  Mumin Song,et al.  Overview of three-dimensional shape measurement using optical methods , 2000 .

[26]  Hung-Lin Hsieh,et al.  Development of a grating-based interferometer for six-degree-of-freedom displacement and angle measurements. , 2015, Optics express.

[27]  Ole Sigmund,et al.  Topology synthesis of large‐displacement compliant mechanisms , 2001 .