Image reconstruction method from magnetic resonance signal

摘要

The method involves exciting a spin system through a high frequency pulse, and superimposing a phase dispersion on the spin system through switched gradients. A number of magnetic resonance signals with different phase dispersion are produced, sampled wrt their phase and digitized. The phase dispersions are chosen in such way, that the digitized sample values are unevenly divided at least in one direction in space. A linear equation system, based on the sample values and the known phase dispersions, is used to derive a signal for a spatial compartment of a predefined space. The linear equation system is solved for each desired pulse sequence based on known data of a gradient field strength to form a matrix which is subsequently used to determine image data based on sample values and associated phase dispersions by applying the same pulse sequence.