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三种基本相位展开算法及其融合算法的性能比较

Performance Comparison of Three Basic Phase Unwrapping Algorithms and Their Hybrid Algorithms

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摘要

在现有的各种先进的计量技术[如光学干涉测量、光学三维传感、卫星雷达干涉测量(SAR)以及核磁共振成像(MRI)]中,二维相位展开是后期数据处理的关键步骤。通过仿真模拟存在噪声干扰的情况,比较了空间相位展开常用方法中的枝切法、最小不连续法、快速相位展开算法这三种算法的抗噪性能。结果显示相对于另外两种算法,最小不连续法具有较好的抗噪性能,但其耗时却远大于其他两种算法。综合三种算法的优缺点,提出将枝切法和快速相位展开算法分别与最小不连续法融合的两种算法。所提算法既利用了枝切法与快速相位展开算法展开速度快的优点,又利用了最小不连续法抗噪性能强的优点,使得融合后的两种算法展开速度提升的同时,又保证了相位展开的准确性。仿真模拟和实际实验结果验证了所提算法的有效性。

Abstract

Two-dimensional phase unwrapping is the key step of the later data processing in the existing advanced metrology technologies such as optical interferometry, optical three-dimensional sensing measurement, satellite radar interferometry (SAR), and magnetic resonance imaging (MRI). In this paper, the anti-noise performance of three common spatial phase unwrapping algorithms, branch-cut phase unwrapping algorithm, minimum discontinuity algorithm, and fast phase unwrapping algorithm, are compared by simulating the situation of noise interference. The result shows that the minimum discontinuity algorithm has the best performance in anti-noise, but its time consuming is far greater than the other two algorithms. Two hybrid algorithms, combining the minimum discontinuity algorithm with the branch-cut phase unwrapping algorithm and the fast phase unwrapping algorithm respectively, are proposed considering the advantages and disadvantages of the three algorithms mentioned above. In these two proposed algorithms, the advantages of fast speed of branch-cut phase unwrapping algorithm and fast phase unwrapping algorithm are fully taken into account, and the advantage of the strong anti-noise of the minimum discontinuity algorithm is also exploited. These two combined algorithms guarantee both the speed and accuracy of the phase unwrapping. The effectiveness of two combined algorithms is verified by the results of simulation and actual experiment.

Newport宣传-MKS新实验室计划
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中图分类号:TN247

DOI:10.3788/aos201838.0815006

所属栏目:“机器视觉检测与应用”专题

基金项目:国家自然科学基金( 61675141)

收稿日期:2018-01-25

修改稿日期:2018-03-10

网络出版日期:2018-03-19

作者单位    点击查看

韩宇:四川大学电子信息学院光电系, 四川 成都 610064
张启灿:四川大学电子信息学院光电系, 四川 成都 610064
吴应山:四川大学电子信息学院光电系, 四川 成都 610064

联系人作者:张启灿(zqc@scu.edu.cn); 韩宇(1476378790@qq.com);

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引用该论文

Han Yu,Zhang Qican,Wu Yingshan. Performance Comparison of Three Basic Phase Unwrapping Algorithms and Their Hybrid Algorithms[J]. Acta Optica Sinica, 2018, 38(8): 0815006

韩宇,张启灿,吴应山. 三种基本相位展开算法及其融合算法的性能比较[J]. 光学学报, 2018, 38(8): 0815006

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