The imaging quality of the conventional single-pixel-imaging (SPI) technique seriously degrades at a low sampling rate. To tackle this problem, we propose an efficient sampling method and a high-quality real-time image reconstruction strategy: first, different from the conventional simple circular path sampling strategy or variable density random sampling technique, the proposed method samples the Fourier spectrum using the spectrum distribution of the image, that is, sampling the significant spectrum coefficients first, which will help to improve the image quality at a relevantly low sampling rate; second, to handle the long image reconstruction time caused by the iterative algorithm, the sparsity of the image and the alternating direction optimization strategy are combined to ameliorate the reconstruction process in the image gradient space. Compared with the state-of-the-art techniques, the proposed method significantly improves the imaging quality and achieves real-time reconstruction on the time scale of milliseconds.
Generally, the imaging quality of Fourier single-pixel imaging (FSI) will severely degrade while achieving high-speed imaging at a low sampling rate (SR). To tackle this problem, a new, to the best of our knowledge, imaging technique is proposed: firstly, the Hessian-based norm constraint is introduced to deal with the staircase effect caused by the low SR and total variation regularization; secondly, based on the local similarity prior of consecutive frames in the time dimension, we designed the temporal local image low-rank constraint for the FSI, and combined the spatiotemporal random sampling method, the redundancy image information of consecutive frames can be utilized sufficiently; finally, by introducing additional variables to decompose the optimization problem into multiple sub-problems and analytically solving each one, a closed-form algorithm is derived for efficient image reconstruction. Experimental results show that the proposed method improves imaging quality significantly compared with state-of-the-art methods.
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