In one embodiment of the present invention, a method for processing a 2D
or 3D reconstruction image is disclosed which is recorded by a magnetic
resonance device, including a gradient coil that generates a gradient
field, and is distortion--corrected with regard to a given
non-linearity--leading to an image distortion--of the gradient field
using an algorithm that processes the measurement signals at different
measurement points lying in the imaging volume, which algorithm, with
respect to each signal processed by it, processes the first input value
describing the real gradient field given at the real measurement point of
the signal, in which method, for inverse transformation of the
distortion-corrected reconstruction image into a distortion-uncorrected
reconstruction image, use is made of the first algorithm or a second
algorithm corresponding to the first algorithm, which, with respect to
each signal processed by it, is given as second input value such a value
which describes a fictitious gradient field at the respective distorted
measurement point at which the processed signal appears, which is
increased or decreased by the non-linear field component of the real
gradient field compared with the linear ideal gradient field.