基于傅里叶变换迭代的条纹延拓方法研究

Research on Fringe Region Spreading Method Based on Iterative Fourier Transform

傅里叶变换相位提取算法仅需一幅条纹图便可求解待测件的相位信息,相较于移相法相位提取算法具有实时测量的优点,但是傅里叶变换方法的测量精度较低。为了提升测量精度,研究了一种基于傅里叶变换迭代的条纹延拓方法。仿真实验表明,该方法能够有效抑制边缘效应,测量结果偏差的峰谷(PV)值从2.154 rad下降至0.083 rad,均方根(RMS)值从0.066 rad下降至0.003 rad。实物实验取得了理想的效果,进一步验证了该算法的可行性。

The phase extraction algorithm with Fourier transform only needs a single fringe pattern to solve the phase information of the component to be measured.Compared with the phase-shifting method,the phase extraction algorithm has the advantage of real-time measurement.However,the measurement accuracy of this algorithm is slightly low.In order to improve the measurement accuracy,a method of fringe region spreading based on iterative Fourier transform is researched in this paper.Simulation experiments show that this method can effectively suppress the edge effect,and the peak-to-valley(PV)value is reduced from 2.154 rad to 0.083 rad,and the root-mean-square(RMS)value is reduced from 0.066 rad to 0.003 rad.Satisfactory results are obtained in real experiment,which further verifies the feasibility of the algorithm.