Normalized quadrature four-frame phase shift algorithm based on crossed fringe patterns

Normalized quadrature four-frame phase shift algorithm based on crossed fringe patterns
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基于交叉条纹图案的归一化正交四帧相移算法

DOI:
10.1117/1.oe.58.3.035103
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发表时间:
2019-03
影响因子:
1.3
通讯作者:
Jiangang Zhao
Jiangang Zhao
中科院分区:
工程技术4区
文献类型:
--
作者:
Lei Tang;Dahai Li;Ruiyang Wang;Wuxiang Zhao;Jiangang Zhao

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抽象的。在相位测量偏转测量中,正弦条纹图案分别投射到镜面反射的测试表面上,由电荷耦合器件(CCD)相机记录由该表面反射的变形条纹。利用相移算法找出光源在显示器上与CCD上像素点对应的位置,从而计算被测元件上每个点的斜率,最后利用表面重建算法恢复被测元件的表面形状。传统的16步相移算法获取相位信息通常涉及一些复杂和耗时的过程,如水平方向和垂直方向的条纹投影。因此,为了避免这些步骤,提出了一种基于交叉条纹的四步相移算法。基于Gram-Schmidt正交化方法,只需4张交叉条纹即可同时确定两个方向的位相。通过数值仿真和实验验证了该算法的有效性。
Abstract. In the phase measurement deflectometry, sinusoidal fringe patterns are separately projected on a specular test surface, and the distorted fringes reflected by the surface are recorded by a charge-coupled device (CCD) camera. The phase shift algorithm is used to find the position of the light source on the display corresponding to the pixel point on the CCD, thereby calculating the slope of each point on the element to be tested, and finally retrieving the surface shape of the test element by using the surface reconstruction algorithm. The phase information is usually obtained by traditional 16-step phase-shifting algorithm, which involves certain complicated and time-consuming procedures, for instance, fringe projection in the horizontal and vertical directions. Therefore, to avoid these procedures, a four-step phase shift algorithm based on crossed fringes is proposed. Based on Gram–Schmidt orthonormalization method, only four crossed fringe patterns are needed to determine the phase in both directions simultaneously. Both numerical simulation and experiment are conducted to verify the validity of the algorithm.
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