A well-posed magnetic imaging method is disclosed that exploits the non-linear behavior of the characteristic time scale of the Neel relaxation for obtaining accurate high-spatial resolution images of magnetic tracers. The method includes placing an object in a selection field (static field) generated by three pairs of orthogonally arranged coil (drive coils), supplying prudently choice currents to the drive coils, a zero field voxel (ZFV) is formed that can be positioned anywhere in the local region of interest (ROI), switching the magnetizing field off, and collecting an image.