title: Non-Iterative Reconstruction with a Prior for Undersampled Radial MRI Data.
abstract: This paper develops an FBP-MAP (Filtered Backprojection, Maximuma Posteriori) algorithm to reconstruct MRI images from under-sampled data. An objective function is first set up for the MRI reconstruction problem with a data fidelity term and a Bayesian term. The Bayesian term is a constraint in the temporal dimension. This objective function is minimized using the calculus of variations. The proposed algorithm is non-iterative. Undersampled dynamic myocardial perfusion MRI data were used to test the feasibility of the proposed technique. It is shown that the non-iterative Fourier reconstruction method effectively incorporates the temporal constraint and significantly reduces the angular aliasing artifacts caused by undersampling. A significant advantage of the proposed non-iterative Fourier technique over the iterative techniques is its fast computation time.
authors.affiliation: Utah Center for Advanced Imaging Research (UCAIR), Department of Radiology, University of Utah, Salt Lake City, UT 84108, USA.
authors.forename: Gengsheng L
authors.initials: GL
authors.lastname: Zeng
authors.affiliation: Department of Mathematics, Utah Valley University, Orem, UT 84058, USA.
authors.forename: Ya
authors.initials: Y
authors.lastname: Li
authors.affiliation: Utah Center for Advanced Imaging Research (UCAIR), Department of Radiology, University of Utah, Salt Lake City, UT 84108, USA.
authors.forename: Edward V R
authors.initials: EV
authors.lastname: DiBella
keywords: Constrained image reconstruction; analytical reconstruction algorithm; radial sampled MRI; tomography; undersampled MRI