Optics and Precision Engineering, Volume. 22, Issue 12, 3247(2014)

Datum axis fitting for tolerances based on 3D convex hulls

GUO Chong-ying*... LIU Jian-hua, TANG Cheng-tong, JIANG Ke and LIU Hai-bo |Show fewer author(s)
Author Affiliations
  • [in Chinese]
  • show less
    References(25)

    [1] [1] ZHAGN Q, FAN K C, LI Z. Evaluation method for spatial straightness errors based on minimum zone condition [J]. Precision Engineering, 1999,23(4): 264-272.

    [2] [2] CHATTERJEE G, ROTH B. On Chebychev fits for pairs of lines and polygons with specified internal angles[J]. Precision Engineering, 1997,21(1): 43-56.

    [3] [3] CALVOA R, GMEZA E, DOMINGO R. Circle fitting from the polarity transformation regression [J]. Precision Engineering, 2013,37(4): 908-917.

    [4] [4] YUAN G Y, JIANG ZH D. The new algorithm to evaluate revaluate perpendicularity errors of axis to axisp [J]. Journal of Xi’an Jiao Tong University, 1995 29(7): 98-103.(in Chinese)

    [5] [5] LI H F, JIANG X Q, ZHANG Y, et al.. A practical algorithm for computing cylindricity error in the rectangular coordinates [J]. Chinese Journal of scientific Instrument, 2002,23(4): 424-426.(in Chinese)

    [6] [6] YAO N X, WANG D L, KANG D CH. A study on the practical mathematical model for evaluating the profile error of revolving solid [J]. Acta Metrological Sinica, 1991,01(24): 262-268.(in Chinese)

    [8] [8] LAI J Y, CHEN I H. Minimum zone evaluation of circles and cylinders[J]. International Journal of Machine Tools Manufacture, 1996,36(4): 435-451.

    [9] [9] LEI X Q, SONG H W, XUE Y J, et al.. Method for cylindricity error evaluation using geometry optimization searching algorithm [J]. Measurement, 2011, 44(9): 1556-1563.

    [10] [10] LAI H, JYWE W. Precision modeling of form errors for cylindricity evaluation using genetic algorithms [J]. Precision Engineering, 2000,24(4): 310–319.

    [11] [11] WEN X L, ZHAO Y B, WANG D X, et al.. Adaptive Monte Carlo and GUM methods for the evaluation of measurement uncertainty of cylindricity error [J]. Precision Engineering, 2013, 37(4): 856-864.

    [12] [12] CHERAGHI S H, JIANG G H, AHAMD J S. Evaluating the geometric characteristics of cylindrical features[J]. Precision Engineering, 2003,27(2): 195-204.

    [16] [16] LI Z F, CUI CH C, CHE R CH,et al.. Comparison of genetic algorithm based evaluation of roundness with evaluation of roundness based on least squared method [J]. Opt. Precision Eng., 2003,11(3): 257-261.

    [17] [17] HUANG J. Exact minimum zone solution for three-dimensional straightness evaluation problems[J]. Precision Engineering, 1999,23(3): 204-208.

    [18] [18] HUANG J. Exact solution for the roundness evaluation problems [J]. Precison Engineering, 1999, 23(1): 2-8.

    [19] [19] ENDRIASA D H, HSI-YUNG F, JI M, et al.. A combinatorial optimization approach for evaluating minimum-zone spatial straightness errors[J]. Measurement, 2012,45(5): 1170-1179.

    [20] [20] SHUNMUGAM M S,VENKAIAH N. Evaluation of form data using computational geometric techniques—Part II: Cylindricity error[J]. International Journal of Machine Tools & Manufacture, 2007,47(7): 1237–1245.

    [21] [21] WANG J H, CHEN CH. Analyzing efficiency of datum deleting of α—hull in evaluation of roundness error [J]. Journal of Xi’an Technological University,2009,29(5): 424-427.(in Chinese)

    [22] [22] WANG L, WANG J H. A new technology to delete sample datum in the process of evaluating roundness error [J]. Journal of Xi’an institute of technology,2002,22(3): 193-199.(in Chinese)

    [23] [23] Dimensioning and tolerancing [M].New York: N.Y., ASME,2009.

    [24] [24] WANG J Y, WANG CH W, TU CH H, et al.. Computational Geometry and Its Applications [M]. Beijing: Science Press, 2011,9.(in Chinese)

    [25] [25] WANG J, LIU J H, LIU W D, et al.. Modeling technology of tolerance zone in virtual environment [J]. Computer Integrated Manufacturing Systems, 2012,18(12): 2595-2603.(in Chinese)

    CLP Journals

    [1] SHI Zhao-yao, JIANG Hai-yang, ZHANG Min. Multi-scale representation for skin models in geometrical product specifications[J]. Optics and Precision Engineering, 2016, 24(7): 1647

    Tools

    Get Citation

    Copy Citation Text

    GUO Chong-ying, LIU Jian-hua, TANG Cheng-tong, JIANG Ke, LIU Hai-bo. Datum axis fitting for tolerances based on 3D convex hulls[J]. Optics and Precision Engineering, 2014, 22(12): 3247

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category:

    Received: Mar. 13, 2014

    Accepted: --

    Published Online: Jan. 13, 2015

    The Author Email: Chong-ying GUO (guocy912@126.com)

    DOI:10.3788/ope.20142212.3247

    Topics