RT info:eu-repo/semantics/article
T1 A fast but ill-conditioned formal inverse to Radon transforms in 2D and 3D
A1 Marichal Hernández, José Gil
A1 Oliva García, Ricardo
A1 Gómez Cárdenes, Óscar
A1 Suárez Martín, Nelson
A1 Rodríguez Ramos, José Manuel
A2 Ingeniería Industrial
AB We present a formal inversion of the multiscale discrete Radon trasform, valid both for 2D and3D. With the transformed data from just one of the four quadrants of the direct 2D Radontransform, or one of the twelve dodecants, in case of 3D Radon transform, we can invert exactly and directly, with no iterations, the whole domain. The computational complexity of theproposed algorithms will be O(N log N). With N the total size of the problem, either square orcubic. But this inverse transforms are extremely ill conditioned, so the presence of noise in thetransformed domain turns them useless. Still we present both algorithms, and characterize itsweakness against noise.
YR 2022
FD 2022
LK http://riull.ull.es/xmlui/handle/915/27711
UL http://riull.ull.es/xmlui/handle/915/27711
LA en
DS Repositorio institucional de la Universidad de La Laguna
RD 03-may-2024