Abstract: The present disclosure generally relates to medical imaging and, more particularly, relates to systems, apparatus and methods for performing processing of relaxation data obtained by magnetic resonance (MR) T1-mapping of the liver or other visceral organs in the presence of elevated iron and elevated fat levels, and in the presence of off-resonance frequencies in the MR system. The processing results in corrected values of T1 relaxation times of extracellular liquid of the mapped visceral organ that would have been measured if iron content had been at normal levels, if there had been zero fat in the mapped visceral organ and/or there had been zero off-resonance frequencies in the MR system.