提出了一种利用互补条纹实现位置变形检测及补偿的新方法。该方法可以用于校正物体在线检测中因定位不精确而带来的测量误差。首先利用参考物体并根据散乱点相位插值算法生成互补条纹；然后投射到被测物体表面，计算未发生形状变形处的相位，即为由产品定位不精确引起的相位变化量。利用此相位差与深度映射关系可将待测物体绝对相位转化为其三维信息，同时根据基于重叠区最小二乘迭代原理计算出待测物体定位误差量，最后利用刚体变换方法补偿待测物体的位置变形。计算机模拟及实验结果验证了该方法的正确性、有效性和可行性。

An approach is presented to detect and compensate position variation, which adopts complemented fringe projection technique. It can effectively solve the problem of measurement error aroused by inexact positioning in the in-line inspection. Firstly, complemented fringe relative to referenced sample are generated and projected onto its surface. Then the fringe pattern images are captured. Secondly, fringe analysis techniques are adopted to acquire the phase when referenced sample is perfect positioned; the same way is employed onto the product which is inaccurate positioning. The phase of non-distortion and overlap area are chosen to compute difference caused by the inexactly positioning. This phase differences are added to the absolute phase for referenced sample to obtain a new absolute phase after positioning error, 3D coordinate of actual product are acquired using phase and depth mapping relation. At last, position variations are computed by least squares overlap iteration, and the rigid transform is employed to compensate error. Simulation analysis and experimental results prove the validity and feasibility of the approach.