Wielgus M, Patorski K
Institute of Micromechanics and Photonics, Warsaw University of Technology, Warsaw, Poland.
Appl Opt. 2011 Oct 1;50(28):5513-23. doi: 10.1364/AO.50.005513.
We propose an application for a bidimensional empirical mode decomposition and a Hilbert transform algorithm (BEMD-HT) in processing amplitude modulated fringe patterns. In numerical studies we investigate the influence of parameters of the algorithm and a fringe pattern under study on the demodulation results to optimize the procedure. A spiral phase method and the angle-oriented partial Hilbert transform are introduced to the BEMD-HT and tested. A postprocessing filtration method for BEMD-HT is proposed. Results of processing experimental data, such as vibration mode patterns obtained by time-average interferometry, correspond richly with numerical findings. They compare very well with the results of our previous investigations using the temporal phase-shifting (TPS) method and the continuous wavelet transform (CWT). Not needing to perform phase-shifting represents significant simplification of the experimental procedure in comparison with the TPS method.
我们提出了一种将二维经验模态分解和希尔伯特变换算法（BEMD-HT）应用于处理调幅条纹图案的方法。在数值研究中，我们研究了算法参数和所研究的条纹图案对解调结果的影响，以优化该过程。将螺旋相位法和角度定向部分希尔伯特变换引入到BEMD-HT中并进行了测试。提出了一种用于BEMD-HT的后处理滤波方法。处理实验数据的结果，如通过时间平均干涉测量获得的振动模态图案，与数值结果非常吻合。它们与我们之前使用时间相移（TPS）方法和连续小波变换（CWT）的研究结果相比非常出色。与TPS方法相比，无需进行相移显著简化了实验过程。
