%J IEEE transactions on medical imaging %L upm55074 %P 2414-2427 %V 37 %T NOVIFAST: A Fast Algorithm for Accurate and Precise VFA MRI T1 Mapping %I IEEE %K T1 mapping; variable flip angle; SPGR; DESPOT1; relaxometry %N 11 %X 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. %R 10.1109/TMI.2018.2833288 %D 2018 %A Gabriel Ramos Llordén %A Gonzalo Vegas Sánchez-Ferrero %A Marcus Björk %A Floris Vanhevel %A Paul M. Parizel %A Raúl San José Estépar %A Arnold J. den Dekker %A Jan Sijbers