We have developed a technique to fully characterize an arbitrary potential energy of an atom trap. The characterization allows one to measure the symmetry of the trap, a determining factor in many trapped atom applications. Created through a magneto-optical trap and evaporative cooling, a cold atom cloud is first loaded into our weakly-confined time-orbiting potential (TOP) trap. The whole atom cloud is then optically pumped into a dark state, an energy level that does not interact with the probe laser light. A selected part of the atom cloud is reactivated by a repump light which optically pump the atoms back into a state that can be probed. The repump light is shaped into a light sheet 168 µm thick. The reactivated region interacts with the probe laser light to create a fluorescence image. Since the light sheet is much thinner than the atom cloud, which is roughly 2 mm wide, the fluorescence image obtained is a cross-section of the atom cloud. A movable light sheet allows us to generate crosssection images of the cloud at different positions. A composite image of all the crosssection images shows the complete potential profile of our atom trap. This is similar to tomographic imaging used in medical imaging. We have verified the technique with two other methods: direct oscillation measurement at varying amplitude and numerical simulation of the atom trap. The technique is able to measure the potential up to the fourth-order terms in spatial coordinates. A complete characterization of the atom trap's symmetry will allow us to develop an atomic Foucault pendulum, a novel application for trapped atoms.