| 基于快速傅里叶变换的四种相位解包裹算法 |
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| 引用本文： | 王华英,于梦杰,刘飞飞,刘佐强. 基于快速傅里叶变换的四种相位解包裹算法[J]. 强激光与粒子束, 2013, 25(5): 1129-1133. DOI: 10.3788/HPLPB20132505.1129 |
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| 作者姓名： | 王华英 于梦杰 刘飞飞 刘佐强 |
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| 作者单位： | 1.河北工程大学 信息与电气工程学院, 河北 邯郸 056038; |
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| 基金项目： | 国家自然科学基金项目(61077001,61144005);河北省自然科学基金项目(F2010001038,F2012402051,F2012402059);河北省科技支撑计划项目(09277101D);河北省教育厅科学研究重点项目(ZH2011241) |
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| 摘 要： | 为了快速准确地对含有噪声的包裹相位图进行相位展开，采用理论分析与计算机模拟及实验验证相结合的方法，对基于快速傅里叶变换（FFT）的四种典型算法四次FFT算法(4-FFT)、二次FFT算法（2-FFT）、四次离散余弦变换算法(4-DCT)及横向剪切干涉与FFT相结合的算法(LS-FFT)作了对比研究。结果表明:2-FFT算法运行速度最快，4-FFT算法次之，LS-FFT算法速度最慢；4-FFT算法对含有较强噪声和轻微欠采样的实验数据的处理效果是最好的；LS-FFT算法对强噪声数据的处理效果最差。
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| 关 键 词： | 相位解包裹 快速傅里叶变换 离散余弦变换 噪声 欠采样 |
| 收稿时间： | 2012-10-23; |
Four phase unwrapping algorithms based on fast Fourier transform |
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| Wang Huaying,Yu Mengjie,Liu Feifei,Liu Zuoqiang. Four phase unwrapping algorithms based on fast Fourier transform[J]. High Power Laser and Particle Beams, 2013, 25(5): 1129-1133. DOI: 10.3788/HPLPB20132505.1129 |
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| Authors: | Wang Huaying Yu Mengjie Liu Feifei Liu Zuoqiang |
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| Affiliation: | 1.School of Information and Electronic Engineering,Hebei University of Engineering,Handan 056038,China;2.College of Science,Hebei University of Engineering,Handan 056038,China |
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| Abstract: | In order to recover the noisy wrapped phase map rapidly and accurately, four typical algorithms based on fast Fourier transform, i.e. the algorithms respectively based on four fast Fourier transforms (4-FFT algorithm), two fast Fourier transforms (2-FFT algorithm), four discrete cosine transforms (4-DCT algorithm) and combination of lateral shearing and Fourier transform (LS-FFT algorithm), are compared through theoretical analysis, computer simulation and experimental verification. The results show that, the 2-FFT algorithm is the fastest, followed by the 4-FFT algorithm, and the LS-FFT algorithm is the slowest. For the strong noisy and slightly under-sampled wrapped phase map obtained by digital holographic experiments, the 4-FFT algorithm performs the best, while the LS-FFT algorithm does the worst. |
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| Keywords: | fast Fourier transform discrete cosine transform noise under-sampled |
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