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This paper introduces a single-pixel HyperSpectral (HS) imaging frameworkbased on Fourier Transform Interferometry (FTI). By combining a space-timecoding of the light illumination with partial interferometric observations of acollimated light beam (observed by a single pixel), our system benefits from(i) reduced measurement rate and light-exposure of the observed object comparedto common (Nyquist) FTI imagers, and (ii) high spectral resolution as desirablein, e.g., Fluorescence Spectroscopy (FS). From the principles of compressivesensing with multilevel sampling, our method leverages the sparsity "in level"of FS data, both in the spectral and the spatial domains. This allows us tooptimize the space-time light coding using time-modulated Hadamard patterns. Weconfirm the effectiveness of our approach by a few numerical experiments.

Compressive Hyperspectral Imaging: Fourier Transform Interferometry meets Single Pixel Camera