Unwrapping-free Fourier panoramic single-pixel imaging

Single-pixel imaging (SPI) is a novel imaging method, which can reconstruct the object information by a single-pixel detector with no spatial resolution. However, at present, the field of view (FOV) of SPI is limited to the illumination range of the projected patterns; thus, this technology cannot meet the imaging requirements of a large FOV or even 360° view in many vision-based fields. Therefore, in order to extend the illumination range of the projected pattern, as well as the FOV of SPI, here, we design an omnidirectional single-pixel imaging system (OSPIS) by adding a curved mirror, which can illuminate scenes with a 360° omnidirectional FOV. And, a retina-like annular pattern with log-polar structure is designed to match the geometry of the curved mirror. Further, to obtain the panoramic single-pixel images that are adapted to the human vision system, combing the imaging feature of SPI, an unwrapping-free Fourier panoramic singlepixel imaging (FFPSI) is proposed to remove the unwrapping process from the reconstructed omnidirectional images. The proposed FFPSI provides a new way for the application of SPI with large FOV, especially for real-time panoramic SPI.