Optimal ordering strategy of Hadamard measurement basis for single-pixel imaging

Single-pixel imaging (SPI) uses single-pixel detectors to detect two-dimensional images, breaking through the limitations of traditional imaging methods on imaging dimensions and resolution. SPI can achieve large-bandwidth signal responses from near-ultraviolet to far-infrared and even terahertz bands, which provides a solution to the imaging needs of some complex environmental conditions. However, SPI sacrifices imaging time in exchange for spatial resolution limits its application and development. In order to increase the imaging speed and improve the imaging quality, this paper proposes a new ordering of the Hadamard basis, which can restore image information with high quality in low sampling regime. Simulation verifies that 64. 64 pixels image can be completely reconstructed at a sampling rate of 12.5%. A single-pixel imaging experiment based on time-correlated single photon counting techniques (TCSPC) was designed to record the reflection and total reflection phenomenon of light propagating in water, 64. 64 pixels image could be reconstructed well under 12.5% sampling rate.