用于荧光光谱傅里叶变换干涉测量的多级照明编码
Multilevel Illumination Coding for Fourier Transform Interferometry in Fluorescence Spectroscopy
摘要：
傅里叶变换干涉测量（FTI）是用于获取超光谱（HS）数据的干涉测量过程。最近，已经观察到，在称为编码照明-FTI（CI-FTI）的过程中，可以在FTI采集之前对突出显示（生物）样本的光源进行编码。这将HS数据重建转化为由HS数据的稀疏性正则化的压缩感知（CS）问题。CI-FTI结合了FTI的高光谱分辨率和生物学中减少曝光成像的优势。本文利用CS理论中最近发展起来的多级采样方案，使CI-FTI的编码策略适应荧光光谱（FS）中HS数据的光谱稀疏结构。这种结构实际上是从FS中使用的实际荧光染料的光谱特征中提取的。因此，最佳照明编码以及理论上的恢复保证。我们进行了大量的数值实验的合成和实验数据表明，所提出的理论的忠实性实验观察。
英文摘要：
Fourier Transform Interferometry (FTI) is an interferometric procedure for acquiring HyperSpectral (HS) data. Recently, it has been observed that the light source highlighting a (biologic) sample can be coded before the FTI acquisition in a procedure called Coded Illumination-FTI (CI-FTI). This turns HS data reconstruction into a Compressive Sensing (CS) problem regularized by the sparsity of the HS data. CI-FTI combines the high spectral resolution of FTI with the advantages of reduced-light-exposure imaging in biology. In this paper, we leverage multilevel sampling scheme recently developed in CS theory to adapt the coding strategy of CI-FTI to the spectral sparsity structure of HS data in Fluorescence Spectroscopy (FS). This structure is actually extracted from the spectral signatures of actual fluorescent dyes used in FS. Accordingly, the optimum illumination coding as well as the theoretical recovery guarantee are derived. We conduct numerous numerical experiments on synthetic and experimental data that show the faithfulness of the proposed theory to experimental observations.
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