Applying PSD Analysis in Ring-Structured-Light 3D Measurement

Huiwen Leng, Chunguang Xu, Zhongwei Feng, D. Xiao
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Abstract

Error elimination is very important in 3D measurement with ring-structured-light. A method has been proposed, which includes the following procedures. First, acquire ring-structured-light images and extract their stripe center. Second, find the base-circle center of the stripe center locus by curve fitting, using the least squares method. Subsequently unfold the stripe center locus along its base-circle. In the waveform of the unfolded view, there exist an eccentricity error component and an ellipse shape error component. The frequencies of these two error components are different from the frequency of detail component. They can be separated in the unfolded view by power spectrum density (PSD) analysis. Based on their formation principles, eccentricity error and ellipse error can be separated and eliminated, and the accuracy of the measurement can be improved. Experiments have demonstrate its applicability.
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PSD分析在环结构光三维测量中的应用
在环结构光三维测量中,误差消除是一个非常重要的问题。提出了一种方法,其中包括以下步骤。首先,获取环状结构光图像并提取其条纹中心;其次,利用最小二乘法,通过曲线拟合求出条纹中心轨迹的基圆中心;然后沿着其基圆展开条纹中心轨迹。在展开视图的波形中,存在偏心误差分量和椭圆形状误差分量。这两个误差分量的频率与细节分量的频率不同。通过功率谱密度(PSD)分析,可以将它们从展开的视图中分离出来。根据偏心误差和椭圆误差的形成原理,可以分离和消除偏心误差和椭圆误差,提高测量精度。实验证明了该方法的适用性。
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