A standard and linear fan-beam Fourier backprojection theorem [article]

Patricio Guerrero, Matheus Bernardi, Eduardo X. Miqueles
2021 arXiv   pre-print
In this work we propose a theoretical low-complexity formulation for the tomographic fan-beam backprojection in standard and linear geometries. The proposed formula is obtained from a recent backprojection theorem in the parallel case. Such formula is written as a Bessel-Neumann series representation in the frequency domain in polar coordinates. A mathematical proof is provided together with numerical simulations compared with conventional fan-beam backprojection representations to validate our
more » ... formulation showing more robustness when dealing with highly noisy data.
arXiv:1812.06519v3 fatcat:kexcv2xgqnfqhapjdyyb3xetsq