This paper presents a brief overview of space variant image coding for stereoscopic media and reports on findings from a study using foveation for stereoscopic imaging. Foveation is a perceptually motivated approach to image coding based on the structure of human fovea and it is well studied in image and video processing domains. However it is less exploited for three-dimensional (3D) space even though it is potentially well suited also for 3D, e.g. for level of detail management in gaze contingent stereoscopic displays. In this paper results from a stereoscopic foveation implementation is presented in support of this argument. A brief discussion on computational as well as human factors for successful management and presentation of stereoscopic media is also provided based on current literature.