Abstract
ABSTRACT We discuss the uniqueness of 3-D shape recovery of a polyhedron from a single shading image, and pro—pose 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 isused as a constraint to limit the shape of polyhedron (for a concave 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.Keywords: Computer Vision, 3D Shape Recovery, Shape-from-Shading, Interreflection, Polyhedron. 1 Introduction Interpretation of line drawings [1][9] was developed toestimate the 3D shape of an object qualitatively. Shape- from-shading was proposed to recover the shape of an ob-ject with a smooth surface [10][13J• Because an obtained
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