A computer program product may cause one or more processors to generate stereoscopic images of one or more 3D models within a 3D model space. As part of the generation of the stereoscopic images, special case surfaces that are non-flat and specularly reflective or refractive are rendered in a special manner. The special manner involves rendering a texture for the special case surface based on a third projection corresponding to a third viewpoint that is spaced from both a first viewpoint (i.e., a left eye viewpoint) and a second viewpoint (i.e., a right eye viewpoint). Accordingly, when rendering first and second images (i.e., images corresponding respectively to the first and second viewpoints), the texture corresponding to the third viewpoint may be applied to the special case surface in both the first and second images. As a result, the disparity between the stereoscopic images may be low enough that the special case surface may be readily fused by the human viewer and not become a visual problem or an area of unwanted visual focus for the viewer.