Underwater polarization-based single pixel imaging

This paper extends single pixel imaging (SPI) to underwater scenario. Backscattering, which is a limiting factor for underwater imaging, is analyzed for the SPI, and the forward model of SPI under backscattering is formulated. Inspired by the polarization-based descattering technique, we propose the two cross-polarization SPI detection scheme to eliminate the backscattering light. The descattered image is reconstructed from the cross-polarization data. Experimentally, we construct the underwater polarization-based single-pixel imaging system. And we test our scheme under different turbidity water. It is shown in experiments that our method can provide a clear image at turbid water of 32FTU, where the classical SPI has been severely contaminated by the backscattering, even under the best the polarization state.