Height and Gradient from Shading

Abstract
The method described here for recovering the shape of a surface from a shaded image can deal with complex, wrinkled surfaces. Integrability can be enforced easily because both surface height and gradient are represented (A gradient field is integrable if it is the gradient of some surface height function). The robustness of the method stems in part from linearization of the reflectance map about the current estimate of the surface orientation at each picture cell (The reflectance map gives the dependence of scene radiance on the gradient; or, equivalently, surface orientation). The new scheme can find an extract solution of a given shape-from-shading problem even though a regularizing term is scheduled. Keywords: Photoclinometry; Smoothness; Photography; Depth and shape; Cartography; Shape from shading; Variational methods; Digital elevation models.

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