Alternative Fan-beam Backprojection and Adjoint Operators
Numerical Analysis
2023-02-07 v4 Numerical Analysis
Abstract
We present in this work alternative analytic formulations for the fan-beam tomographic backprojection operation and its associated adjoint transform in standard (equiangular) and linear (equidistant) detector geometries. The proposed formulations are obtained from a recent backprojection theorem in parallel tomography. Such formulations are written as a Bessel-Neumann series in the frequency domain that can be implemented as an matrix multiplication. Proofs are provided together with numerical simulations compared with conventional fan-beam backprojection representations showing more robustness when dealing with highly noisy data.
Keywords
Cite
@article{arxiv.1812.06519,
title = {Alternative Fan-beam Backprojection and Adjoint Operators},
author = {Patricio Guerrero and Matheus Bernardi and Eduardo X. Miqueles},
journal= {arXiv preprint arXiv:1812.06519},
year = {2023}
}