Compressive Hyperspectral Imaging: Fourier Transform Interferometry meets Single Pixel Camera

TL;DR

This paper presents a novel single-pixel hyperspectral imaging system combining Fourier Transform Interferometry with compressive sensing, achieving high spectral resolution with reduced measurement and light exposure.

Contribution

It introduces a compressive hyperspectral imaging framework that uses space-time coding and multilevel sampling to improve efficiency and spectral resolution in FTI-based systems.

Findings

Reduced measurement rate compared to traditional FTI

High spectral resolution suitable for fluorescence spectroscopy

Effective use of space-time coding with Hadamard patterns

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.