Polyhedral Shape Recovery Based on Interreflections

We discuss the uniqueness of 3-D shape recovery of a polyhedron from a single shaded image. First, we analytically show that multiple convex (and concave) shape solutions usually exist for a simple polyhedron if interreflections are not considered. Then we propose a new approach to uniquely determine the shape solution using interreflections as a constraint. Interreflections, which were considered to be deleterious in shape-from-shading, are used as a constraint to determine the shape solution in our approach.

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