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Fourier-transform method of data compression and temporal fringe pattern analysis

机译:数据压缩的傅里叶变换方法和时间条纹图案分析

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摘要

Temporal fringe pattern analysis is invaluable in studies of transient phenomena but necessitates large data storage for two essential sets of data, i.e., fringe pattern intensity and deformation phase. We describe a compression scheme based on the Fourier-transform method for temporal fringe data storage that permits retrieval of both the intensity and the deformation phase. When the scheme was used with simulated temporal wavefront interferometry intensity fringe patterns, a high compression ratio of 10.77 was achieved, with a significant useful data ratio of 0.859. The average root-mean-square error in phase value restored was a low 0.0015 rad. With simulated temporal speckle interferometry intensity fringe patterns, the important paremeters varied with the modulation cutoff value applied. For a zero modulation cutoff value, the ratio of data points and the compression ratio values obtained were roughly the same as in wavelength interferometry, albeit the average root-mean-square error in the phase value restored was far higher. By increasing the modulation cutoff value we attained significant reduction and increase in the ratio of data points and the compression ratio, respectively, whereas the average root-mean-square error in the restored phase values was reduced only slightly.
机译:时空条纹图案分析对于瞬态现象的研究非常重要,但是需要存储大量数据来存储两组基本数据,即条纹图案强度和变形阶段。我们描述了一种基于傅立叶变换方法的压缩方案,用于时间条纹数据存储,该压缩方案允许同时检索强度和变形阶段。当该方案与模拟的时间波前干涉测量强度条纹图案一起使用时,可实现10.77的高压缩率,而有效数据比为0.859。恢复的相位值的平均均方根误差为0.0015 rad。利用模拟的时间散斑干涉法强度条纹图案,重要的参数会随着所应用的调制截止值而变化。对于零调制截止值,尽管恢复的相位值的平均均方根误差要高得多,但获得的数据点比率和压缩比率值与波长干涉法大致相同。通过增加调制截止值,我们分别实现了数据点比率和压缩率的显着减少和增加,而恢复的相位值中的平均均方根误差仅略有减少。

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