Reconstruction of Voxels with Position- and Angle-Dependent Weightings
Computer Vision and Pattern Recognition
2020-10-28 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2010.14205,
title = {Reconstruction of Voxels with Position- and Angle-Dependent Weightings},
author = {Lina Felsner and Tobias Würfl and Christopher Syben and Philipp Roser and Alexander Preuhs and Andreas Maier and Christian Riess},
journal= {arXiv preprint arXiv:2010.14205},
year = {2020}
}
Comments
This paper was originally published at the 6th International Conference on Image Formation in X-Ray Computed Tomography (CTmeeting 2020)