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ZHOU Jing-bo, SUN Tao. Robustness and precision evaluation of the form error of micro-structured surfaces using real coded genetic algorithm[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2012, 21(4): 479-486.
Citation: ZHOU Jing-bo, SUN Tao. Robustness and precision evaluation of the form error of micro-structured surfaces using real coded genetic algorithm[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2012, 21(4): 479-486.

Robustness and precision evaluation of the form error of micro-structured surfaces using real coded genetic algorithm

  • Received Date:2011-08-29
  • To obtain the form error of micro-structured surfaces robustly and accurately, a form error evaluation method was developed based on the real coded genetic algorithm (RCGA). The method employed the average squared distance as the matching criterion. The point to surface distance was achieved by use of iterative method and the modeling of RCGA for the surface matching was also presented in detail. Parameter selection for RCGA including the crossover rate and population size was discussed. Evaluation results of series simulated surfaces without form error show that this method can achieve the accuracy of root mean square deviation ( Sq)less than 1 nm and surface profile error ( St)less than 4.nm. Evaluation of the surfaces with different simulated errors illustrates that the proposed method can also robustly obtain the form error with nano-meter precision. The evaluation of actual measured surfaces further indicates that the proposed method is capable of precisely evaluating micro-structured surfaces.
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  • [1]
    Brinksmeier E, Preuss W, Gessenharter A. Manufacturing of calibration standard by diamond turning //Proceedings of 2nd Euspen Interational conference. Turin, Italy: EUSPEN, 2001:680-683.
    [2]
    Gao W, Araki T, Kiyono S, et al. Precision nano-fabrication and evaluation of a large area sinusoidal grid surface for a surface encoder [J]. Precision Engneering, 2003, 27(3): 289-298.
    [3]
    Liua K H, Chenb M F, Panb C T, et al. Fabrication of various dimensions of high fill-factor micro-lens arrays for OLED package [J]. Sensors and Actuators A, 2010, 159(1):126-134.
    [4]
    Gao W, Tano M, Sato S, et al. On-machine measurement of a cylindrical surface with sinusoidal micro-structures by an optical slope sensor[J]. Precision Engineering, 2006, 30(3): 274-279.
    [5]
    Huang C N, Li L, Yi A Y. Design and fabrication of a micro Alvarez lens array with a variable focal length[J]. Microsystem Technologies, 2009, 15(4):559-563.
    [6]
    Chen C A, Chen C M , Chen J R . Toolpath generation for diamond shaping of aspheric lens array [J]. Journal of Material Processing Technology, 2007(192): 194-199.
    [7]
    Zhang X D, Fang F Z, Wang H B, et al. Ultra-precision machining of sinusoidal surfaces using the cylindrical coordinate method [J]. Journal of Micromechanics and Microengineering, 2009, 19(5):054004.
    [8]
    Cheung C F, Li H F, Lee W B, et al. An integrated form characterization method for measuring ultra-precision freeform surfaces [J]. International Journal of Machine Tools and Manufacture, 2007, 47(1):81-91.
    [9]
    Yu D P, Zhong X, Wong Y S. An automatic form error evaluation method for characterizing micro-structured surfaces [J].Measurement Science and Technology, 2011, 22: 015105.
    [10]
    Li Y, Gu P. Feature-based alignment and comparison between portion and whole of free-formsurfaces [J]. CIRP Annals, 2005, 54(1):135-138.
    [11]
    Jiang X Q, Zhang X C, Scott P J. Template matching of freeform surfaces based on orthogonal distance fitting for precision metrology [J]. Measurement Science and Technology, 2010, 21:045101.
    [12]
    Besl P J, McKay N D. A method for registration of 3-D shapes [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1992, 14 (2):239-56.
    [13]
    Liu Y H. Improving ICP with easy implementation for free form surface matching [J]. Pattern Recognition, 2004, 37(2):211-226.
    [14]
    Zhang Z. Iterative point matching for registration of free-form curves and surfaces [J]. International Journal of Computer Vision, 1994, 13(2):119-152.
    [15]
    Campbell R J, Flynn P J. A survey of free-form object representation and recognition techniques [J]. Computer Vision and Image Understanding, 2001, 81(2): 166-210.
    [16]
    Lai H Y, Jywe W Y, Chen C K, et al. Precision modeling of form errors for cylindricity evaluation using genetic algorithms [J]. Precision Engineering, 2000, 24(4): 310-319.
    [17]
    Cui C C, Li B, Huang F G. Genetic algorithm-based form error evaluation [J]. Measurement Science and Technology, 2007, 18:1818-1822.
    [18]
    Wen X L, Xia Q G, Zhao Y B. An effective genetic algorithm for circularity error unified evaluation [J]. International Journal of Machine Tools & Manufacture, 2006, 46 (14):1770-1777.
    [19]
    Michalewicz Z.Genetic algorithms+data structures evolution programs [M]. New York: Springer, 1996:97-105.
    [20]
    Zhou J B, Sun T, Wang X H. Research on a simulation system for diamond turning of optical components with micro-structured surfaces //Proceedings of SPIE, Dalian, China: SPIE,2010:76551Z.
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