Posterior regularization method for phase removal of shale nano-structure imaging in space domain

X-Ray computed tomography is a non-destructive method that used, among many applications, to study the size, shape, 3D structures and interconnections of pores in shale. We use phase retrieval methods deal with “edge enhancement” effect caused by shift. The process can be described transport-of-intensity equation (TIE). But this an ill-posed problem. existing focus on frequency domain. To tackle ill-posedness, we propose new whose main idea solve problem space domain regularization technique. synthetic shale model simulate projection data. Then apply three retrieve phase: conventional domain, direct solving iterative Tikhonov Finally, standard filtered back-projection (FBP) present outcome. By analyzing results, find advantages method: more stability fewer artifacts under noise perturbations. shows relative errors are nearly 1% traditional based hence promising for practical data processing.