System and method for is described, for mapping (" QSM ") using magnetic resonance imaging (" MRf ") and the susceptibility of the quantity of the processing method once to localize. The localized region that one field-shift map is disturbed based on local field is processed. Field-moving area of these localization uses established QSM algorithms, or processed using direct dipole inversion techniques, calculates the sensitivity distribution in the area of the field displacement information from localization. When localized region corresponds to field-shift map subvolumnes, it can produce and be combined to a composite quantitative susceptibility figure local susceptibility figure. By calculating the susceptibility distribution base in area on field-mobile message of localization, the remaining streak artifacts in susceptibility figure are constrained to the individual volume that they are initiated from it, their propagation is therefore eliminated by image.