Phase-controlled Fourier transform single-pixel hyperspectral imaging

We proposed a rapid single-pixel hyperspectral imaging system by combining phase-controlled Fourier transform spectroscopy (PC-FTS) and a DMD-modulated single-pixel imaging scheme. With efficient synchronization of the PC-FTS interferometer and DMD, the modulation speed was improved to 100 Hz. At 10% pixel sampling rate, the proposed system elapsed only 1 second to acquire modulated spectra for a 32 × 32 pixel hypercube reconstruction. High-quality spectral images could be obtained at 5% sampling rate using the TVAL3 algorithm, with SSIM exceeding 0.75 and PSNR exceeding 20 dB. The spectral resolution could reach 0.3 nm, and the spectrum extracted from the hyperspectral cube has a spectral accuracy of 0.11% with respect to that obtained from a commercial high-resolution FTS spectrometer. Complex spatial-spectral information from a plastic sample was measured for accurate PCA-based classification.