In the fast 3D shape measurement, it is an important factor to use the least number of fringe patterns to get the wrapped phase and the wrapped phase is always required to be retrieved to absolute phase. But the process of phase unwrapping may affect the quality of absolute phase. Besides absolute phase retrieval is time-costing especially for high-speed 3D shape measurement. This paper proposes a fast measurement method based on Fourier transform profilometry and stereo vision. Because of the property of stereo vision, every point can find its corresponding point in the wrapped phase. This method can reconstruct 3D surface without phase unwrapping. In order to further increase the measurement speed and overcome the gamma effect of projector, the dithering fringe pattern is used. To resist false matching, the original image matching constraint gives a rough parallax. Phase matching and sub-pixel parallax optimization are used to reduce the matching errors. In order to confirm the phase value of points which are at the edge of wrapped phase, average phase value is calculated. A white mask is measured based on the proposed method. The results from every step show the effect of different functions. To better show the effect of the proposed method, a white house is measured and the measurement is compared with LSSM and MFH. In order to further to show the advantage of the proposed method, discontinuous blocks and continuous blocks are measured. The average height, RMS, average error, maximum error are compared with the method which uses absolute phase to match the corresponding points. Experiment results verify the feasibility of the proposed method and it can measure complex objects with high speed and accuracy. This paper uses Fourier transform and stereo vision to get wrapped phase and reconstruct 3D shape without phase unwrapping. The proposed method contains three part: phase matching, edge points detection and sub-pixel parallax optimization. By comparing matching precision, the proposed method can get high quality surface. Because the process of measurement only need one frame of deformed fringe pattern to get the wrapped phase and the matching process does not need phase unwrapping, the proposed method has the potential to be used in fast measurement.

中文翻译：

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使用傅立叶变换和立体视觉进行高速3D形状测量

在快速3D形状测量中，使用最少数量的条纹图案来获得包裹相位是一个重要因素，并且总是需要将包裹相位恢复到绝对相位。但是相位展开的过程可能会影响绝对相位的质量。除了绝对相位检索外，还需要花费时间，特别是对于高速3D形状测量。本文提出了一种基于傅立叶变换轮廓图和立体视觉的快速测量方法。由于立体视觉的特性，每个点都可以在包裹阶段找到其对应点。该方法可以重建3D表面而无需相位展开。为了进一步提高测量速度并克服投影仪的伽玛效应，使用了抖动条纹图案。为了抵制错误匹配，原始图像匹配约束给出了大致的视差。相位匹配和亚像素视差优化用于减少匹配误差。为了确定在包裹相位边缘的点的相位值，计算平均相位值。基于所提出的方法测量白色掩模。每个步骤的结果均显示了不同功能的效果。为了更好地显示所提出方法的效果，对白宫进行了测量，并将其与LSSM和MFH进行了比较。为了进一步显示所提出方法的优点，测量了不连续块和连续块。将平均高度，RMS，平均误差，最大误差与使用绝对相位匹配对应点的方法进行比较。实验结果证明了该方法的可行性，可以快速，准确地测量复杂物体。本文使用傅立叶变换和立体视觉获得包裹相位并重建3D形状而无需相位展开。该方法包括三个部分：相位匹配，边缘点检测和子像素视差优化。通过比较匹配精度，该方法可以得到高质量的表面。由于测量过程仅需要一帧变形条纹图案即可得到包裹相位，而匹配过程则不需要相位解缠，因此该方法具有用于快速测量的潜力。本文使用傅立叶变换和立体视觉获得包裹相位并重建3D形状而无需相位展开。该方法包括三个部分：相位匹配，边缘点检测和子像素视差优化。通过比较匹配精度，该方法可以得到高质量的表面。由于测量过程只需要一帧变形条纹图案就可以得到包裹相位，而匹配过程则不需要相位解缠，因此该方法具有用于快速测量的潜力。本文使用傅立叶变换和立体视觉获得包裹相位并重建3D形状而无需相位展开。该方法包括三个部分：相位匹配，边缘点检测和子像素视差优化。通过比较匹配精度，该方法可以得到高质量的表面。由于测量过程只需要一帧变形条纹图案就可以得到包裹相位，而匹配过程则不需要相位解缠，因此该方法具有用于快速测量的潜力。