Aiming at the difficulty in X-ray focusing, small field of view and the low sensitivity for the X-ray imaging, a spherically collimated X-ray counting imaging method was proposed based on the concept of single-pixel camera. The spatial X-ray star maps that are sparse in the airspace were measured under the function of binary sparse observation matrix, and reconstructed rapidly by the use of TVAL3 algorithm. Finally, a series of simulations were designed to evaluate the performance of the reconstruction in Peak Signal to Noise Ratio (PSNR), Bhattacharyya Coefficient and Pearson Correlation Coefficient (PCC). The results demonstrate that the PSNR and PCC of the reconstructed image are respectively 27.1992 and 0.94273 for the sparse ratio 0.05.
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