基于三角测量原理的条纹投影轮廓测量系统中，倾斜投影到参考平面上的条纹将产生周期展宽现象，引起相位失真甚至影响测量精度。论文以条纹位置为控制变量推导出条纹周期校正的线性数学模型，通过简便的标定获得模型参数，由此反算出新的待投影条纹，并在参考平面上获得周期分布的投影条纹。实验结果表明校正后的条纹周期变化范围在±0.1像素内，并且该方法能够获得更为精确的三维轮廓测量结果。

In the fringe projection profilometry system based on triangulation principle, the fringe projected on the reference plane always produces the period broaden phenomenon, which can cause phase distortion and even affect the measuring accuracy. The fringe position was taken as the control variable to derive the linear mathematical model of fringe period correction. The model parameters were obtained with a simple and convenient calibration process. Then the new projected fringe was calculated according to the correction model, and the periodic distribution fringe was obtained on the reference plane. The experimental results show that the varying range of the fringe period after correction is within ±0.1 pixel, and this method can obtain the more accurate 3D profile measurement results.