Transmissive single-pixel grayscale object imaging

Single-pixel imaging (SPI) has emerged as a promising technique in computational optics. In transmissive SPI schemes, light must propagate through the imaged object, requiring continuous transmittance values from 0 to 1. Nevertheless, the absence of commercially available submicron array devices featuring tunable transmittance severely restricts the development of grayscale target reconstruction in transmissive systems. To address this limitation, a physically realizable method based on base conversion and checkerboard tiling is proposed, decomposing continuous grayscale information into binary primitives. Through sampling and reconstruction by an SPI system, binary images are generated, after which the grayscale distribution is restored, enabling reflection-independent continuous grayscale recovery. The efficacy of the proposed method is validated via multiple evaluation metrics alongside reconstruction algorithms, including compressive sensing total variation. Experimental results confirm high-fidelity grayscale reconstruction under transmissive conditions.