The invention represents a new form of stereoscopically-rendered three-dimensional model and various methods for constructing, manipulating, and displaying these models. The model consists of one or more stereograms applied to a substrate, where the shape of the substrate has been derived from the imagery or from the object itself, and the stereograms are applied to the substrate in a specific way that eliminates parallax for some points and reduces it in others. The methods offered can be (conservatively) 400 times more efficient at representing complex surfaces than conventional modelling techniques, and also provide for independent control of micro and macro parallaxes in a stereoscopically-viewed scene, whether presented in a VR environment or in stereo film or television.