Abstract
This paper introduces a single-pixel HyperSpectral (HS) imaging framework based on Fourier Transform Interferometry (FTI). By combining a space-time coding of the light illumination with partial interferometric observations of a collimated light beam (observed by a single pixel), our system benefits from (i) reduced measurement rate and light-exposure of the observed object compared to common (Nyquist) FTI imagers, and (ii) high spectral resolution as desirable in, e.g., Fluorescence Spectroscopy (FS). From the principles of compressive sensing with multilevel sampling, our method leverages the sparsity "in level" of FS data, both in the spectral and the spatial domains. This allows us to optimize the space-time light coding using time-modulated Hadamard patterns. We confirm the effectiveness of our approach by a few numerical experiments.
Abstract (translated)
本文介绍了一种基于傅立叶变换干涉测量（FTI）的单像素高光谱（HS）成像框架。通过将光照的空时编码与准直光束的部分干涉测量结果（由单个像素观察）相结合，我们的系统得益于（i）与普通物相比，观测物体的测量速率和曝光率降低（奈奎斯特（Nyquist）FTI成像器，和（ii）在例如荧光光谱（FS）中所需的高光谱分辨率。从多级采样的压缩感知原理出发，我们的方法利用了FS数据的“水平”稀疏性，包括光谱和空间域。这使我们能够使用时间调制的Hadamard模式优化时空光编码。我们通过一些数值实验证实了我们方法的有效性。
URL
https://arxiv.org/abs/1809.00950
