Title :
A mathematical proof of a noise weighted FBP reconstruction algorithm
Author :
Zeng, Gengsheng L. ; Ya Li ; Zamyatin, Alexander
Author_Institution :
Dept. of Electr. Eng., Weber State Univ., Ogden, UT, USA
fDate :
Oct. 27 2013-Nov. 2 2013
Abstract :
This paper shows that the FBP algorithm is able to provide a solution to a weighted least-squares problem. Therefore, the projection noise model can be included in the FBP reconstruction. Bayesian information can also be incorporated in the FBP reconstruction.
Keywords :
Bayes methods; least squares approximations; signal reconstruction; Bayesian information; filtered backprojection; noise weighted FBP reconstruction algorithm; projection noise model; weighted least squares problem; Bayes methods; Convolution; Image reconstruction; Kernel; Linear programming; Noise; Transforms;
Conference_Titel :
Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC), 2013 IEEE
Conference_Location :
Seoul
Print_ISBN :
978-1-4799-0533-1
DOI :
10.1109/NSSMIC.2013.6829219
