  This review discusses the problem of reconstruction of surface magnetic field
topologies of early-type stars with a focus on mapping methods utilising
information content of high-resolution spectropolarimetric observations. Basic
principles of the Zeeman Doppler imaging tomographic mapping technique are
outlined and its recent applications to magnetic early-type stars are
summarised. The current observational and modelling challenges faced by the
studies of surface magnetic fields in these stars are also discussed.
