提出了一种新的基于单幅彩色正弦光栅投影的三维形貌测量方法。利用计算机产生一幅正弦条纹图和两幅单一强度图分别通过红绿蓝(RGB)三个通道合成为一幅彩色条纹图，并由液晶投影仪投影到被测物体表面，彩色变形条纹由彩色电荷耦合器件（CCD）采集并保存在计算机中。对畸变的彩色条纹进行三色分离处理，利用其中的红色条纹分量与蓝色背景相除消除不均匀反射率的影响，进而通过条纹强度正则化与修正的反正弦算法得到物体的三维形貌。对投影仪的非线性输出响应导致条纹强度的非正弦性提出了修正方法，提高了单幅条纹图形貌测量精度。最后给出了实验结果，并与传统的四步相移方法相比较，验证了新方法的有效性。

A novel fringe projection profilometry based on one snapshot color sinusoidal fringe pattern is proposed. One color fringe pattern encoded with a sinusoidal fringe and two uniform intensity patterns is projected by a digital video projector and the deformed fringe pattern is recorded by a color charge coupled device (CCD) camera. The captured color fringe pattern is separated into its red, green, blue (RGB) components and division operation is applied to red and blue channels to reduce the effect of non-uniform reflectivity. Shape information of the tested object is decoded by applying an arcsine algorithm to the normalized fringe pattern. A simple technique is introduced to compensate for nonlinear intensity response of the digital video projector. The experimental results and the comparison with four-step phase-shifting method demonstrate the validity of the proposed method.