Phase error compensation for a 3-D shape measurement system based on the phase-shifting method
Phase error compensation for a 3-D shape measurement system based on the phase-shifting method
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DOI：
10.1117/12.631256
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发表时间：
2005-11
期刊：
影响因子：
--
通讯作者：
Song Zhang;Peisen Huang
中科院分区：
文献类型：
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作者：
Song Zhang;Peisen Huang
本文提出了一种新的相位误差补偿方法，以减小移相法中非正弦波形引起的测量误差。对于使用商用视频投影仪的3D形状测量系统，由于投影仪的非线性伽马曲线导致的投影条纹图案的非正弦性质导致了显著的相位测量误差，从而导致了形状测量误差。所提出的相位误差补偿方法是基于我们的发现，由条纹图案的非正弦波形引起的相位误差仅取决于投影仪伽马曲线的非线性。因此，如果校准投影仪的伽马曲线并计算由于伽马曲线的非线性引起的相位误差，则可以构造存储相位误差的查找表(LUT)以进行误差补偿。实验结果表明，使用该方法可以将测量误差减小到原来的1/10。除了相位误差补偿外，还提出了一种类似的方法来校正条纹图案的非正弦性，以便生成更准确的用于纹理映射的物体的平面图像。虽然纹理映射与计量学中的应用程序无关，但对于计算机视觉和计算机图形学中的应用程序很重要。
This paper describes a novel phase error compensation method for reducing the measurement error caused by non-sinusoidal waveforms in the phase-shifting method. For 3D shape measurement systems using commercial video projectors, the non-sinusoidal nature of the projected fringe patterns as a result of the nonlinear gamma curve of the projectors causes significant phase measurement error and therefore shape measurement error. The proposed phase error compensation method is based on our finding that the phase error due to the non-sinusoidal waveform of the fringe patterns depends only on the nonlinearity of the projector's gamma curve. Therefore, if the projector's gamma curve is calibrated and the phase error due to the nonlinearity of the gamma curve is calculated, a look-up-table (LUT) that stores the phase error can be constructed for error compensation. Our experimental results demonstrate that by using the proposed method, the measurement error can be reduced by 10 times. In addition to phase error compensation, a similar method is also proposed to correct the nonsinusoidality of the fringe patterns for the purpose of generating a more accurate flat image of the object for texture mapping. While not relevant to applications in metrology, texture mapping is important for applications in computer vision and computer graphics.