The invention relates to a magnetic resonance imaging system (100, 400) comprising a memory (134) for storing machine executable instructions (140) and MRF pulse sequence commands (142). The MRF pulse sequence commands are configured for controlling the magnetic resonance imaging system to acquire MRF magnetic resonance data (144) according to a magnetic resonance fingerprinting protocol. The memory further contains a Fourier transformed magnetic resonance finger printing dictionary (150). The Fourier transformed magnetic resonance finger printing dictionary comprises entries for at least one intrinsic property (152). The magnetic resonance imaging system further comprises a processor (130) for controlling the magnetic resonance imaging system. Execution of the machine executable instructions causes the processor to: acquire (200) MRF magnetic resonance data (144) descriptive of a region of interest (109) by controlling the magnetic resonance imaging system with the MRF pulse sequence commands, wherein the region of interest is divided into voxels; construct (202) an MRF signal (146) for each of the voxels using the MRF magnetic resonance data; construct (204) a Fourier transformed MRF signal (148) by Fourier transforming the MRF signal for each of the voxels; and determine (206) the least one intrinsic property for each of the voxels using the Fourier transformed MRF signal and the Fourier transformed magnetic resonance finger printing dictionary. The Fourier transformed MRF signal is truncated to a predetermined number of terms before determining the at least one intrinsic property.