@article{upm55074, title = {NOVIFAST: A Fast Algorithm for Accurate and Precise VFA MRI T1 Mapping}, journal = {IEEE transactions on medical imaging}, year = {2018}, number = {11}, pages = {2414--2427}, month = {November}, author = {Gabriel Ramos Llord{\'e}n and Gonzalo Vegas S{\'a}nchez-Ferrero and Marcus Bj{\"o}rk and Floris Vanhevel and Paul M. Parizel and Ra{\'u}l San Jos{\'e} Est{\'e}par and Arnold J. den Dekker and Jan Sijbers}, volume = {37}, publisher = {IEEE}, keywords = {T1 mapping; variable flip angle; SPGR; DESPOT1; relaxometry}, abstract = {In quantitative magnetic resonance T1 mapping, the variable flip angle (VFA) steady state spoiled gradient recalled echo (SPGR) imaging technique is popular as it provides a series of high resolution T1 weighted images in a clinically feasible time. Fast, linear methods that estimate T1 maps from these weighted images have been proposed, such as DESPOT1 and iterative re-weighted linear least squares. More accurate, non-linear least squares (NLLS) estimators are in play, but these are generally much slower and require careful initialization. In this paper, we present NOVIFAST, a novel NLLS-based algorithm specifically tailored to VFA SPGR T1 mapping. By exploiting the particular structure of the SPGR model, a computationally efficient, yet accurate and precise T1 map estimator is derived. Simulation and in vivo human brain experiments demonstrate a twenty-fold speed gain of NOVIFAST compared with conventional gradient-based NLLS estimators while maintaining a high precision and accuracy. Moreover, NOVIFAST is eight times faster than the efficient implementations of the variable projection (VARPRO) method. Furthermore, NOVIFAST is shown to be robust against initialization.}, url = {https://oa.upm.es/55074/} }