哈特曼法焦度测量模型的误差分析及修正

杨金龙,贾宏志,金涛,等. 哈特曼法焦度测量模型的误差分析及修正[J]. 光电工程,2021,48(3):200238. doi: 10.12086/oee.2021.200238
引用本文: 杨金龙,贾宏志,金涛,等. 哈特曼法焦度测量模型的误差分析及修正[J]. 光电工程,2021,48(3):200238. doi: 10.12086/oee.2021.200238
Yang J L, Jia H Z, Jin T, et al. Error model analysis and correlation correction of Hartmann's focimeter[J]. Opto-Electron Eng, 2021, 48(3): 200238. doi: 10.12086/oee.2021.200238
Citation: Yang J L, Jia H Z, Jin T, et al. Error model analysis and correlation correction of Hartmann's focimeter[J]. Opto-Electron Eng, 2021, 48(3): 200238. doi: 10.12086/oee.2021.200238

哈特曼法焦度测量模型的误差分析及修正

详细信息
    作者简介:
    通讯作者: 金涛(1985-),男,博士,副教授,主要从事精密测量的研究。E-mail: jintao@usst.edu.cn
  • 中图分类号: TN29

Error model analysis and correlation correction of Hartmann's focimeter

More Information
  • 为了减少屈光度测量误差,提高精度。本文针对哈特曼法焦度测量建立了较详细的误差模型,着重分析了光源的色散误差、入射光与透镜未垂直、光电探测器中心定位不准、透镜倾斜、光源光线主轴与透镜主轴未重合所引起的屈光度测量误差。结果表明,得出由于光电探测器上中心提取的不准确,会对最终的结果产生较大的误差。并由此提出了双重双线性插值结合拟合法来求取中心的方法,并证明了其有效性和准确性。

  • Overview: The focus meter mainly adopts the Hartmann diaphragm measurement method. The parallel light passes through the lens and the Hartmann diaphragm plate on the photodetector image. The spot image formed without the lens has a corresponding change in position, according to the position of the spot. The change in distance calculates the optical parameters of the lens' top power. This method can not only effectively reduce the error caused by human but also accurately measure the optical parameters of the lens. However, there is no complete error model for autofocus focal meters. Therefore, the relatively perfect error model analysis of the Hartmann measurement method is beneficial to the error correction of the subsequent focal meter measurement. The inaccuracy of the actual diopter measurement is caused by the dispersion error of the light source, the inaccurate of the photodetector's central positing, the tilt of lens, and the misalignment between the incidence axis and the main axis of the lens. Through the analysis of the error model, the inaccurate positioning of the CMOS photodetector centroid will lead to larger errors. Therefore, a dual bilinear method is proposed. Combining the interpolation method with the fitting method, one can find the center of mass, and it's the method is effectiveness and accuracy. The conclusion is obtained through analysis. The light source is the green LED light source. Ignoring the distance between the lens and the CMOS photodetector, the Abbe number correction can be eliminated and the complexity of the algorithm can be reduced, resulting in a small error in the final measurement result. For the errors caused by the lens tilt and the misalignment between the incidence axis and the main axis of the lens. The larger misalignment above the large diopter error, and it affects the accuracy of the experimental results. In the experiment, it is necessary to keep the lens and the incident light is perpendicular to each other. In practice, the error model described in this article can be used for correction. Moreover, if the location of the spot center of mass on the CMOS photodetector is inaccurate, a larger error will occur. Therefore, combining the fitting method in this article with the double bilinear interpolation can improve the accuracy of the spot center of mass and ensure the high positioning of the center of mass, ensuring the accuracy of the diopter measurement results.

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  • 图 1  哈特曼法测量模型

    Figure 1.  Measuring model for the Hartmann method

    图 2  透镜与光阑的实际位置关系图

    Figure 2.  Actual position diagram of the lens and diaphragm

    图 3  L1所引起的屈光度误差曲线

    Figure 3.  Curves of diopter error caused by neglecting L1

    图 4  透镜倾斜的测量模型

    Figure 4.  Measurement model of lens tilt

    图 5  透镜角度偏转导致的屈光度误差变化

    Figure 5.  Variation of diopter error caused by lens deflection

    图 6  主轴外光点射入透镜模型

    Figure 6.  A lens model for an external light spot of spindle

    图 7  光轴与透镜主轴的偏转角度导致的误差变化曲线

    Figure 7.  Error curve caused by the deflection angle between the optical axis and lens axis

    图 8  像素差导致的屈光度误差变化曲线

    Figure 8.  Diopter error curve caused by pixel difference

    图 9  算法的流程框图

    Figure 9.  Flow chart of the whole algorithm

    图 10  高斯光斑所对应的灰度图像

    Figure 10.  Gray image corresponding to the Gaussian spot

    图 11  高斯光斑所对应的二值化图像

    Figure 11.  Binary image corresponding to the Gaussian spot

    图 12  双线性插值算法示意图

    Figure 12.  Schematic diagram of the bilinear interpolation algorithm

    图 13  (a) 插值前高斯曲面图;(b) 插值前高斯曲面图

    Figure 13.  (a) Gauss surface figure before interpolation; (b) Gauss surface figure after interpolation

    图 14  (a) 插值前的图像边缘信息图;(b) 插值后的图像边缘信息图

    Figure 14.  (a) Image edge information before interpolation; (b) Image edge information after interpolation

    表 1  中心坐标及误差

    Table 1.  The results for centroid coordinates and error

    插值位置间距中心坐标中心定位误差di
    0.35(59.681,59.655)0.471
    0.3(59.892,59.857)0.180
    0.25(59.878,59.860)0.186
    0.2(59.877,59.841)0.201
    0.15(59.969,59.967)0.045
    0.1(59.928,59.887)0.134
    0.05(59.890,59.854)0.183
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  • [1]

    Mumzhiu A M, Strakun G I. Investigation of an automatic lensometer[J]. Meas Tech, 1972, 15(4): 538-541. doi: 10.1007/BF00823265

    [2]

    Cordero I. Understanding and caring for a lensmeter[J]. Comm Eye Health J, 2016, 29(94): 37. http://pubmedcentralcanada.ca/pmcc/articles/PMC5100475/

    [3]

    Barbosa E A, Silva D M, Nascimento C E, et al. Progressive power lens measurement by low coherence speckle interferometry[J]. Opt Lasers Eng, 2013, 51(7): 898-906. doi: 10.1016/j.optlaseng.2013.02.007

    [4]

    Aono Y, Negishi M, Takano J. Development of large aperture spherical lens with glass molding[J]. Proc SPIE, 2000, 4231: 16-23. doi: 10.1117/12.402759

    [5]

    Fu X H, Dong H, Jia Z H, et al. Research on processing technology of odd-form off-axis aspherical lens[J]. Proc SPIE, 2014, 9281: 92812F. doi: 10.1117/12.2068113

    [6]

    Ceyhan U, Henning T, Fleischmann F, et al. Measurements of aberrations of aspherical lenses using experimental ray tracing[J]. Proc SPIE, 2011, 8082: 80821K-1. http://www.spie.org/x648.xml?product_id=895009

    [7]

    杨并上, 廖海洋, 王涵. 数字投影式焦度计误差分析及校正方法[J]. 光学精密工程, 2004, 12(S1): 136-139.

    Yang B S, Liao H Y, Wang H. Error analysis and correction of digital projection focimeter[J]. Opt Precision Eng, 2004, 12(S1): 136-139.

    [8]

    朱林泉, 朱苏磊. 焦度计的测量误差和校正方法[J]. 仪器仪表学报, 2006, 27(S2): 1284-1285. https://www.cnki.com.cn/Article/CJFDTOTAL-YQXB2006S2107.htm

    Zhu L Q, Zhu S L. Measuring error and correcting method of the dioptometer[J]. Chin J Sci Instrum, 2006, 27(S2): 1284-1285. https://www.cnki.com.cn/Article/CJFDTOTAL-YQXB2006S2107.htm

    [9]

    赵俊奇, 郭智勇, 闫洁. 一种图像处理的全自动焦度计[J]. 光电工程, 2012, 39(3): 34-39. doi: 10.3969/j.issn.1003-501X.2012.03.007

    Zhao J Q, Guo Z Y, Yan J. An image processing auto lensmeter[J]. Opto-Electron Eng, 2012, 39(3): 34-39. doi: 10.3969/j.issn.1003-501X.2012.03.007

    [10]

    沈春花. 浅谈色散对焦度计检测的影响[J]. 北京生物医学工程, 2010, 29(5): 534-537. doi: 10.3969/j.issn.1002-3208.2010.05.22.

    Shen C H. Briefing the influence of dispersion on detecting lensmeter[J]. Beijing Biomed Eng, 2010, 29(5): 534-537. doi: 10.3969/j.issn.1002-3208.2010.05.22.

    [11]

    Snoeys W. Monolithic CMOS sensors for high energy physics[J]. Nucl Instrum Meth Phys Res Sect A Accel Spectrometers Detect Assoc Equip, 2019, 924: 51-58. doi: 10.1016/j.nima.2018.06.034

    [12]

    Mahato S B, de Ridder J, Meynants G, et al. Measuring intra-pixel sensitivity variations of a CMOS image sensor[J]. IEEE Sens J, 2018, 18(7): 2722-2728. doi: 10.1109/JSEN.2018.2798698

    [13]

    Song W T, Cheng J J, Liu Y, et al. Three-dimensional image authentication using binarized images in double random phase integral imaging[J]. Chin Opt Lett, 2019, 17(5): 21-25. http://www.cqvip.com/QK/85954X/20195/7002260960.html

    [14]

    Roy S, Bhattacharyya D, Bandyopadhyay S K, et al. An improved brain MR image binarization method as a preprocessing for abnormality detection and features extraction[J]. Front Comp Sci, 2017, 11(4): 717-727. doi: 10.1007/s11704-016-5129-y

    [15]

    Cheng M M, Liu Y, Lin W Y, et al. BING: Binarized normed gradients for objectness estimation at 300fps[J]. Comput Vis Med, 2019, 5(1): 3-20. doi: 10.1007/s41095-018-0120-1

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出版历程
收稿日期:  2020-06-28
修回日期:  2020-09-18
刊出日期:  2021-03-15

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