Polynomial Shape from Shading

author: Ady Ecker, Department of Computer Science, University of Toronto
published: July 19, 2010,   recorded: June 2010,   views: 6127


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We examine the shape from shading problem without boundary conditions as a polynomial system. This view allows, in generic cases, a complete solution for ideal polyhedral objects. For the general case we propose a semidefinite programming relaxation procedure, and an exact line search iterative procedure with a new smoothness term that favors folds at edges. We use this numerical technique to inspect shading ambiguities.

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