Iterative versus non-iterative image reconstruction methods for sparse magnetic resonance imaging

Iterative Reconstruction Concepts for Magnetic Resonance Imaging

Iterative reconstruction is a relatively new concept for the calculation of medical images, which is based on formulating the reconstruction process mathematically as an inverse problem and solving it with a numerical optimization method. Driven by recent success for dose reduction in CT, iterative reconstruction is currently receiving strong interest also in the MRI community. The first part o...

An Assessment of Iterative Reconstruction Methods for Sparse Ultrasound Imaging

Ultrasonic image reconstruction using inverse problems has recently appeared as an alternative to enhance ultrasound imaging over beamforming methods. This approach depends on the accuracy of the acquisition model used to represent transducers, reflectivity, and medium physics. Iterative methods, well known in general sparse signal reconstruction, are also suited for imaging. In this paper, a d...

Progressive Magnetic Resonance Image Reconstruction Based on Iterative Solution of a Sparse Linear System

Image reconstruction from nonuniformly sampled spatial frequency domain data is an important problem that arises in computed imaging. Current reconstruction techniques suffer from limitations in their model and implementation. In this paper, we present a new reconstruction method that is based on solving a system of linear equations using an efficient iterative approach. Image pixel intensities...

Iterative Reconstruction Methods for Non-cartesian Mri

For magnetic resonance imaging (MRI) with Cartesian k-space sampling, a simple inverse FFT usually suffices for image reconstruction. More sophisticated image reconstruction methods are needed for non-Cartesian k-space acquisitions. Regularized least-squares methods for image reconstruction involve minimizing a cost function consisting of a least-squares data fit term plus a regularizing roughn...

Iterative methods for solving non linear Fokker-Planck equation