An exemplary method for correcting inhomogeneities of the static magnetic field generated by the magnetic structure of a machine for acquiring nuclear magnetic resonance images includes determining the number, the position and the magnetic moment of dipoles compensating inhomogeneities of the magnetic field to be positioned on a positioning grid such that a function is minimized. The total magnetic moment of compensation dipoles for compensating the magnetic field inhomogeneity can be minimized in addition to minimizing a norm of the difference between an inhomogeneity vector of each of the magnetic field components and the linear combination of effect vectors corresponding to the magnetic field component of compensation dipoles.