Explicit Compression Degradation Estimations for Low‐Sampling Single‐Pixel Imaging using Hadamard Basis

Abstract Single‐pixel imaging (SPI) is a promising imaging modality that enables 2D image acquisition using 1D photocurrent measurements. In SPI, the number of measurements strongly restricts image quality. Compressive sensing methods allow SPI reconstruction using undersampled measurements. Recent studies have focused on restoration schemes using implicit prior assumptions or data‐driven approaches. However, explicit compression degradation models for SPI are still unclear. Here, a degradation estimation technique is presented to explicitly describe compressive sampling for low‐sampling SPI reconstruction using Hadamard basis patterns. The compression degradation models are reflected by the results at different sampling ratios. A self‐supervised learning method is proposed to estimate explicit degradation models, which are mainly composed of blur kernels. Blur kernels varying with sampling ratios and corresponding SPI results are numerically and experimentally demonstrated. Furthermore, this approach is demonstrated for single‐pixel video imaging in dynamic scenes. It is anticipated that the compression degradation estimation technique will further promote the practical application of SPI.