基于快速傅里叶变换的相位解包裹算法  

Phase Unwrapping Algorithms Based on Fast Fourier Transform

作　　者：张志会[1] 王华英[2] 刘佐强[1] 黄敏[3] 刘飞飞[1] 于梦杰[1] 赵宝群[2] 

机构地区：[1]河北工程大学信息与电气工程学院,河北邯郸056038 [2]河北工程大学理学院,河北邯郸056038 [3]河北工程大学机电学院,河北邯郸056038

出　　处：《激光与光电子学进展》2012年第12期59-65,共7页Laser & Optoelectronics Progress

基　　金：国家自然科学基金(61077001;61144005);河北省自然科学基金(F2010001038;F2012402059);河北省科技支撑计划(09277101D);河北省教育厅科学研究重点项目(ZH2011241)资助课题

摘　　要：为了能够同时处理含有较强噪声和欠采样区域的包裹相位图,对基于快速傅里叶变换的4种典型相位解包裹算法的速度、准确性及适用范围等相关问题进行了深入的研究,并且通过计算机模拟分析了该类算法中的4种经典算法的抗噪能力和处理含有欠采样情况的能力。结果表明,对于含有强噪声的数据,基于四次快速傅里叶变换算法的效果最好,基于横向剪切干涉和傅里叶变换相结合的算法效果最差;对于含有欠采样的数据,基于横向剪切干涉和傅里叶变换相结合的算法效果最好,基于四次快速傅里叶变换算法次之;对同时含有噪声和欠采样区域的实验数据,基于四次快速傅里叶变换的相位解包裹算法精度最高。In order to process the wrapped phase map with strong noise and under-sampled area simultaneously, four kinds of phase unwrapping algorithms based on fast Fourier transform are studied in depth and the speed, accuracy and the range of applications are expounded. The effective of denoising and dealing with the under-sampled situations of four kinds of algorithms are verified by computer simulations and experimental demonstrations. The results demonstrate that when the data contain strong noises, the quartic Fourier transform algorithm is the best, the combination algorithm based on lateral shearing interferometry and Fourier transform is the worst. While the data have under-sampled areas, the combination algorithm based on lateral shearing interferometry and Fourier transform is the best, followed by the quartic Fourier transform algorithm. When the experimental data contain both noises and under-sampled areas, the quartic Fourier transform algorithm can obtain the highest-precision results.

关 键 词：全息术 相位解包裹算法 快速傅里叶变换 欠采样 噪声 

分 类 号：O438.1[机械工程—光学工程]