Model-Based Image Reconstruction for MRI

Magnetic resonance imaging (MRI) is a sophisticated and versatile medical imaging modality. The inverse FFT has served the MR community very well as the conventional image reconstruction method for k-space data with full Cartesian sampling. And for well sampled non-Cartesian data, the gridding method with appropriate density compensation factors is fast and effective. But when only under-sampled data is available, or when non-Fourier physical effects like field inhomogeneity are important, then gridding/FFT methods for image reconstruction are suboptimal, and iterative algorithms based on appropriate models can improve image quality, rat the price of increased computation. This article reviews the use of iterative algorithms for model-based MR image reconstruction.