Reconstruction of Voxels with Position- and Angle-Dependent Weightings
This addresses a fundamental limitation in voxel reconstruction for medical imaging or tomography, but appears incremental as it builds on known iterative approaches.
The paper tackled the reconstruction problem of voxels with position- and angle-dependent weightings, which makes standard filtered backprojection inapplicable. They derived an iterative solution and experimentally demonstrated its superiority over closed-form solutions.
The reconstruction problem of voxels with individual weightings can be modeled a position- and angle- dependent function in the forward-projection. This changes the system matrix and prohibits to use standard filtered backprojection. In this work we first formulate this reconstruction problem in terms of a system matrix and weighting part. We compute the pseudoinverse and show that the solution is rank-deficient and hence very ill posed. This is a fundamental limitation for reconstruction. We then derive an iterative solution and experimentally show its uperiority to any closed-form solution.