在计算机仿真分析投影仪伽马非线性特性对包裹相位波动误差影响的基础上，提出一种面向相移结构光测量的相位波动误差补偿方法。该方法采用二次多项式最小二乘拟合的方法近似输出条纹光强分布，实现包裹相位波动误差的补偿，减小投影仪非线性导致的系统测量误差。此方法简单，运算量小，不依赖环境光源及投影仪、摄像机具体参数，具有很强的通用性。实验结果表明，该方法可大大降低由伽马非线性产生的相位波动误差，补偿后平均相位波动误差小于补偿前的1/5，解包查表误码率比补偿前减少14.5倍。

Based on simulation of the influence of gamma nonlinearity of the projector on phase error, a method of phase error compensation for structural light measurement based on phase shifting is put forward. In this method, quadratic polynomial is used to approximate the intensity of the captured images, meanwhile least square fitting method is used to compensate the phase error, and in this way, system error caused by the gamma nonlinearity of the projector is reduced greatly. Because it doesn′t depend on environmental light, camera parameters or DLP parameters, this method has superiority in aspects of universality, complexity and calculation speed. Experimental results show that this method reduces greatly the phase error caused by the gamma nonlinearity of the projector. The average phase error is 5 times smaller than that before error compensation, meanwhile the bit error rate of unwrapping based on look-up table method is reduced 14.5 times.