1. A method, comprising: performing, by one or more computer devices: displaying, on a display device, a three-dimensional (3D) shape; translating a 3D drawing surface of the 3D shape to a two-dimensional (2D) representation of the 3D drawing surface based upon a geometry of the 3D drawing surface, the 3D drawing surface having an orientation that is independent of an orientation of the 3D shape; mapping the 2D representation to a drawing input device; receiving an input, on the drawing input device, indicating a drawing stroke relative to the 2D representation; converting the drawing stroke from the 2D representation to the 3D drawing surface according to the geometry of the 3D drawing surface; and generating a stereoscopic image pair according to the converted drawing stroke and depth information provided by the geometry of the 3D drawing surface.