Fast multiple information retrieval algorithm for X-ray grating-based Imaging

Hard X-ray grating-based imaging has the most potential in clinical applications because it works well with conventional X-ray tubes and provides multiple information (absorption, refraction and scattering) simultaneously. How-ever, grating-based imaging adopts a series of images to retrieve multiple information, which significantly increases the exposure time and doses compared with conventional X-ray imaging. An optimized three-image-based multiple information retrieval (TIB-MIR) algorithm is proposed for fast and low-dose grating-based imaging. The errors of the retrieved information are minimal in the case of three steps with equal intervals of 2π/3 within one period, which is equivalent to the 3-step fringe-scanning algorithm. Further-more, in the case of Poisson noise model and equal doses, the method can obtain equivalent image quality compared with fringe-scanning method.