  We propose a scheme for two-dimensional (2D) atom localization in a
four-level tripod system under an influence of two orthogonal standing-wave
fields. Position information of the atom is retained in the atomic internal
states by an additional probe field either of a standing or of a running wave.
It is shown that the localization factors depend crucially on the atom-field
coupling that results in such spatial structures of populations as spikes,
craters and waves. We demonstrate a high-precision localization due to
measurement of population in the upper state or in any ground state.
