摘要
针对条纹投影偏折法中需要多次迭代进行面形恢复,提出一种结合快速傅里叶变换(FFT)算法与泽尼克(Zernike)模式拟合的算法(FFT-泽尼克)。数值仿真结果表明,直接使用泽尼克模式拟合,需要迭代15次,用时1min以上,而使用FFT-泽尼克算法,迭代5次已收敛到理想精度。在保证计算精度在纳米量级的情况下,计算时间也缩短了近2/3。
The basic principle of projected fringes deflectometry is to measure the point-to-point relations of coordinates among free-form surface,camera and projection screen,and then compute the reconstructed surface with calculated slope data iteratively.In order to reduce the calculating time of the wavefront reconstruction without losing accuracy,a fast Fourier transform（FFT）-Zernike combined algorithm was proposed.The simulated result demonstrates the proposed algorithm can decrease the iterative procedure to 5times using less than 20seconds,compared with the traditional Zernike modal algorithm which has 15iteration times using more than 1minute.In addition,the calculating time is cut by two-thirds with the accuracy achieving the order of nanometer.
出处
《应用光学》
CAS
CSCD
北大核心
2013年第4期614-618,共5页
Journal of Applied Optics
基金
国家科技重大专项(02专项)资助课题(2009ZX02205)
