3 October 1996 Uniqueness of shape recovery of a polyhedron from a single shading image
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Abstract
We discuss the uniqueness of 3D shape recovery of a polyhedron from a single shading image, and propose an approach to uniquely determine the concave shape solution by using interreflections as a constraint. We show that if interreflection distribution is not considered, multiple convex (or concave) shape solutions usually exist for a pyramid with three or more visible facets. However, if interreflection distribution is used as a constraint to limit the shape of polyhedron, polyhedral shape can be uniquely determined. Interreflections, which were considered to be deleterious in conventional approaches, are an important constraint for shape-from-shading.
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Jun Yang, Jun Yang, Dili Zhang, Dili Zhang, Noboru Ohnishi, Noboru Ohnishi, Noboru Sugie, Noboru Sugie, } "Uniqueness of shape recovery of a polyhedron from a single shading image", Proc. SPIE 2899, Automated Optical Inspection for Industry, (3 October 1996); doi: 10.1117/12.253006; https://doi.org/10.1117/12.253006
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