光学学报, 2006, 26 (3): 393, 网络出版: 2006-04-20
利用贝叶斯估计法对双频投影条纹的相位进行修正
Phase Amending of Projected Double Spacial Frequency Fringes with Bayes Estimation Method
光学测量 双频投影条纹 级数坐标系 贝叶斯估计 相位修正 optical measurement projected double spacial frequency fringes fringe-order-coordinate Bayes estimation phase amending
摘要
为了进一步提高双频投影条纹的相位精度,提出以双频投影条纹的条纹级数为坐标建立级数坐标系的分析方法,使得条纹级数(或相位)及其误差的描述变得非常直观。在条纹级数坐标系内,利用贝叶斯估计的方法对相移法求解的条纹相位进行修正,使条纹相位精度得到进一步提高。仿真实验和真实实验证明了此方法的有效性。其中实际实验在利用本修正法修正后,相位均方误差从0.014 rad下降为0.009 rad,高度均方误差从0.058 mm下降为0.041 mm。
Abstract
In order to get higher accurate phase of the double spacial frequency fringes, a method that employs the orders of projected fringes as axises to establish fringe-order-coordinate is presented. It makes the description of the fringe orders (phase) and their errors very direct and simple. In the fringe-order-coordinate, Bayes estimation method is used to amend the phase, and the more accurate phase is obtained. Emulational tests and actual experiments show that this method is effectual. With the application of this amending method in the actual experiment, the MSE of phase decrease from 0.014 rad to 0.009 rad, and the mean square error (MSE) of height decreases from 0.058 mm to 0.041 mm.
李健兵, 雷志辉. 利用贝叶斯估计法对双频投影条纹的相位进行修正[J]. 光学学报, 2006, 26(3): 393. 李健兵, 雷志辉. Phase Amending of Projected Double Spacial Frequency Fringes with Bayes Estimation Method[J]. Acta Optica Sinica, 2006, 26(3): 393.