Generation method of partitional horizontal uneven fringes

Yi Dan; SHAO Meng; FAN Jing-jing; DAI Shi-jie

doi:10.3788/OPE.20152313.0769

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Generation method of partitional horizontal uneven fringes

更新时间：2020-08-13

- Generation method of partitional horizontal uneven fringes
- Optics and Precision Engineering Vol. 23, Issue 10z, Pages: 768-775(2015)
- 作者机构：
  
  河北工业大学机器人及自动化研究所, 天津 300130
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20152313.0769
  CLC： TP391.4
- Received：02 June 2015，
  
  Revised：30 June 2015，
  
  Published：14 November 2015
- 稿件说明：
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易丹, 邵猛, 范京京等. 横向分区非均匀条纹生成算法[J]. 光学精密工程, 2015,23(10z): 768-775

YI Dan, SHAO Meng, FAN Jing-jing etc. Generation method of partitional horizontal uneven fringes[J]. Editorial Office of Optics and Precision Engineering, 2015,23(10z): 768-775
易丹, 邵猛, 范京京等. 横向分区非均匀条纹生成算法[J]. 光学精密工程, 2015,23(10z): 768-775 DOI： 10.3788/OPE.20152313.0769.

YI Dan, SHAO Meng, FAN Jing-jing etc. Generation method of partitional horizontal uneven fringes[J]. Editorial Office of Optics and Precision Engineering, 2015,23(10z): 768-775 DOI： 10.3788/OPE.20152313.0769.

摘要

由于三维测量系统中投影仪倾斜投影横向均匀条纹时会在参考平面上产生双向畸变非均匀条纹

故本文提出了一种横向分区非均匀条纹生成方法以降低投影横向条纹测量误差。这种方法使用分区函数描述非均匀条纹像素-相位之间的关系。投影横向分区非均匀条纹时

能够在参考平面上得到周期分布均匀的条纹

从而改善相位展开结果中像素-相位之间的非线性关系

提高测量精度。对高度为50 mm的平面进行的仿真实验表明

投影该种非均匀条纹测量误差均值为0.4099 mm

均匀条纹测量误差均值为2.5235 mm。对高度为50 mm的球体进行的仿真实验表明

投影均匀条纹的测量结果对称度误差为3.1%~9.3%

而投影分区非均匀条纹时

对称度误差为0.03%~1.6%。得到的结果显示

提出的横向分区非均匀正弦条纹能够明显提高投影横向正弦条纹的测量精度。

Abstract

As the oblique angle projection of horizontal even fringes on a reference plane will generate uneven fringes with bidirectional distortion

this paper proposes a method to generate horizontal partitional uneven sine fringes to reduce the measuring errors of horizontal even fringes. With the proposed method

this kind of uneven fringes' pixel-phase relationship was described by partitional function. When this kinds of fringes were projected

the even fringes with uniform distribution could be obtained on the reference plane. So the nonlinear relation between the pixel and the phase could be improved in phase unwrapping results and the measuring accuracy would be optimized. A simulation experiment on a plane with a height of 50 mm shows that the mean value of uneven fringe projection measurement error is 0.4099 mm

and the mean value of even fringes is 2.5235 mm. Moreover

that for a globe with a height of 50 mm shows that the symmetry error ranges from 3.1% to 9.3% for projecting even fringes

whereas that ranges from 0.03% to 1.6% for projecting uneven fringes. The measurement accuracy has be increased by horizontal partitional uneven fringes projection.

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references

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