The stereoscopic display apparatus (300) comprises a source of illumination (101, 103) for emitting light, an imaging system (104) for imaging the source of illumination at a viewing region, a spatial light modulator (106) for modulating light from the source of illumination (101, 103) with two-dimensional images, and a control unit (108) for controlling a relative position of the “active” source of illumination (101, 103) related to the imaging system (104). The stereoscopic display apparatus (300) further comprises means to vary the relative position of the “active” source of illumination (101, 103) in three directions which are orthogonal to each other, without physically moving a light source (302-310) for inducing the source of illumination (101, 103) to emit light