基于弦分布与频谱分析的相位误差校正

Phase error correction based on chord distribution and spectral analysis

  • 摘要: 针对条纹投影三维测量中物体局部镜面反射引起的饱和相位误差,以及投影仪与摄像机伽马效应导致的非线性误差,提出了一种基于弦分布与频谱分析的相位误差校正方法。首先,从理论上分析了饱和信号模型,并推导出了饱和相位误差的特性。其次,对饱和图像信号开展频谱分析,通过傅里叶变换实现饱和相位校正。最后,运用基于弦分布均衡化的相位误差校正算法,降低了伽马效应引起的非线性误差。该方法在不引入额外条纹图像的条件下,可同时抑制条纹投影三维测量中的饱和相位误差和非线性相位误差。仿真和实验结果验证了所提出方法的有效性。

     

    Abstract: To address the saturated phase error caused by the local specular reflection of the object, and the nonlinear error resulting from the gamma effect of the projector and the cameras in fringe projection three-dimensional (3D) measurement, a phase error correction method based on the string distribution and spectrum analysis was proposed. First, the saturated signal model was theoretically analyzed, and the characteristics of the saturated phase error were derived. Then, spectral analysis was performed on the saturated image signal, and the saturated phase correction was completed using Fourier transform. Finally, a phase error correction algorithm based on chord distribution equalization was employed to reduce the nonlinear error induced by the gamma effect. This method can simultaneously mitigate both saturated and nonlinear phase error in fringe projection 3D measurement without requiring any additional fringe image. Simulation and experimental results demonstrated the effectiveness of the proposed method.

     

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