Dipartimento Interateneo di Fisica Michelangelo Merlin, Universitá degli Studi di Bari Aldo Moro, Bari, Italy.
Phys Med. 2013 Sep;29(5):478-86. doi: 10.1016/j.ejmp.2012.12.008. Epub 2013 Jan 29.
Until recently, the hard X-ray, phase-sensitive imaging technique called grating interferometry was thought to provide information only in real space. However, by utilizing an alternative approach to data analysis we demonstrated that the angular resolved ultra-small angle X-ray scattering distribution can be retrieved from experimental data. Thus, reciprocal space information is accessible by grating interferometry in addition to real space. Naturally, the quality of the retrieved data strongly depends on the performance of the employed analysis procedure, which involves deconvolution of periodic and noisy data in this context. The aim of this article is to compare several deconvolution algorithms to retrieve the ultra-small angle X-ray scattering distribution in grating interferometry. We quantitatively compare the performance of three deconvolution procedures (i.e., Wiener, iterative Wiener and Lucy-Richardson) in case of realistically modeled, noisy and periodic input data. The simulations showed that the algorithm of Lucy-Richardson is the more reliable and more efficient as a function of the characteristics of the signals in the given context. The availability of a reliable data analysis procedure is essential for future developments in grating interferometry.
直到最近，人们一直认为硬 X 射线、相敏成像技术称为光栅干涉法只能提供真实空间的信息。然而，通过利用数据分析的替代方法，我们证明了可以从实验数据中提取角度分辨的超小角 X 射线散射分布。因此，除了真实空间之外，光栅干涉法还可以获取倒易空间信息。自然，所恢复数据的质量强烈依赖于所采用的分析程序的性能，在这种情况下，该程序涉及对周期性和噪声数据的反卷积。本文的目的是比较几种反卷积算法，以恢复光栅干涉法中的超小角 X 射线散射分布。我们定量比较了三种反卷积程序（即 Wiener、迭代 Wiener 和 Lucy-Richardson）在真实建模、噪声和周期性输入数据情况下的性能。模拟表明，在给定情况下，Lucy-Richardson 算法作为信号特征的函数，更可靠、更有效。可靠的数据分析程序的可用性对于光栅干涉法的未来发展至关重要。
