3D View Synthesis
The Image Factorization technique of extracting 3D geometry from 2D images is inherently limited by the amount of data received. One cannot, for example, create 3D geometry out of hidden parts of the object that was not in the initial image set.
However, there are ways of guessing at the hidden geometry and we now present one such technique at fooling the human visual system into extrapolating existing geometry into the hidden view to create the illusion of a complete geometrical model where only a partial one existed before. [Ferwerda, et al., 1997] describes in their SIGGRAPH paper "A Model of Visual Masking for Computer Graphics" that visual patterns can be used to mask artifacts in geometry such as tesselation. While we do not use their results directly per se, we use the principle prescribed to accomplish our illusion of continuity. Essentially, we mirrored the texture with C1 continuity across the polygonal mesh. The figures below illustrate the success of our implementation.
Figure Above: Correct Geometric and textural reconstruction of object
Figure Above: Synthesized view of the hidden portion of the object. Polygon mesh is acutally a single triangle made to look like 3 sides of a rectangular box.