| 周灿林*,李晓雷,司书春,李辉,雷振坤.基于参考面的包裹次数减少的最小不连续法加速[J].实验力学,2019,34(6):954~964 |
| 基于参考面的包裹次数减少的最小不连续法加速 |
| Acceleration of minimum discontinuity phase unwrapping algorithm based on wraps reduction with reference fringe |
| 投稿时间：2018-10-17 修订日期：2019-01-13 |
| DOI：10.7520/1001-4888-18-229 |
| 中文关键词: 相位去包裹 三维面形测量； 条纹分析； 傅里叶变换； 相移法； 最小不连续法 |
| 英文关键词:phase unwrapping three-dimensional (3D) surface measurement fringe analysis Fourier transform phase-shifting method minimum discontinuity phase unwrapping algorithm |
| 基金项目:国家自然科学基金(No:11672162; No:11772081)支持 |
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| 中文摘要: |
| 在投影栅三维形貌测量中，相位解调得到的相位主值包裹在 (-π,π)范围内，需要进行相位去包裹处理。Gdeisat提出了基于包裹次数减少的最小不连续相位去包裹加速,但无论是采用频域方法还是空域方法减少相位包裹次数，Gdeisat方法在实际操作中都存在操作复杂，计算量较大，精度有限的问题。针对以上问题，本文提出了一种基于参考面的包裹次数减少的最小不连续相位去包裹算法。首先分别投影和采集参考面和待测物面的变形条纹图，然后由四步相移法进行相位解调得到待测物和参考面的包裹相位；再由待测物和参考面的包裹相位，通过简单的复数除法运算，直接减少待测物包裹相位的包裹次数；最后利用最小不连续法去包裹，得到连续相位。该方法不仅省掉了Gdeisat方法中包裹次数减少的复杂操作，而且能消除测量系统的相位畸变。进行了实验验证，实验结果表明本文方法是可行的。 |
| 英文摘要: |
| In three-dimensional (3D) surface measurement of projected grating, the demodulated phase is wrapped within the range (-π, π), and the phase unwrapping becomes one of the critical steps for 3D shape measurements. In literature, Gdeisat et al. proposed an algorithm, which combined the minimum discontinuity phase unwrapping algorithm with wraps reduction to reduce its execution time. But the method needs to take a large amount of processing time to reduce the number of phase wraps by frequency or spatial domain algorithm with complex operation process and limited precision. In view of the above problems, we propose an improved method to accelerate the minimum discontinuity phase unwrapping algorithm based on wraps reduction with reference fringe. Firstly, four phase-shifting grating fringe patterns are projected onto the tested object and reference plane respectively by digital-light-processing (DLP) projector. The deformed fringe patterns are captured by a CCD camera. Secondly, the wrapped phases corresponding to the object and reference plane are determined by four-step phase shifting method, and the number of phase wraps corresponding to the object is reduced by a simple division operation. Then, the minimum discontinuity phase unwrapping algorithm is applied to the phase image of the object with the reduced number of wraps to obtain the continuous phase map. The proposed method not only eliminates the complex and exhaustive operation in the Gdeisat method, but also can directly remove the phase aberration of the system. Finally, the experiments are used to verify the feasibility of the proposed method. The results demonstrate that the proposed method works very well with high efficiency. |
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