TY - JOUR
T1 - Accurate Attenuation Correction for Algebraic Reconstruction Technique in SPECT
AU - Elie Nasr
JO - Journal of Computational Mathematics
VL - 3
SP - 401
EP - 417
PY - 2010
DA - 2010/06
SN - 28
DO - http://doi.org/10.4208/jcm.2009.10-m2873
UR - https://global-sci.org/intro/article_detail/jcm/8527.html
KW - Single-photon emission computed tomography, Attenuated radon transform,
Algebraic reconstruction technique, Attenuation correction.
AB - <p style="text-align: justify;">We present a new iterative reconstruction algorithm to improve the algebraic reconstruction technique (ART) for the Single-Photon Emission Computed Tomography. Our method is a generalization of the Kaczmarz iterative algorithm for solving linear systems of equations and introduces exact and implicit attenuation correction derived from the attenuated Radon transform operator at each step of the algorithm. The performances of the presented algorithm have been tested upon various numerical experiments in presence of both strongly non-uniform attenuation and incomplete measurements data. We also tested the ability of our algorithm to handle moderate noisy data. Simulation studies demonstrate that the proposed method has a significant improvement in the quality of reconstructed images over ART. Moreover, convergence speed was improved and stability was established, facing noisy data, once we incorporate filtration procedure in our algorithm.</p>