On many occasions, people spontaneously or deliberately take the perspective of a person facing them rather than their own perspective. How is this done? Using a spatial perspective task in which participants were asked to identify objects at specific locations, we found that self-perspective judgments were faster for objects presented to the right, rather than the left, and for objects presented closer to the participants’ own bodies. Strikingly, taking the opposing perspective of another person led to a reversal (i.e., remapping) of these effects, with reference to the other person’s position (Experiment 1). A remapping of spatial relations was also observed when an empty chair replaced the other person (Experiment 2), but not when access to the other viewpoint was blocked (Experiment 3). Thus, when the spatial scene allows a physically feasible but opposing point of view, people respond as if their own bodies were in that place. Imagination can thus overcome perception.