Some Remarks on Perspective Shape-from-Shading Models

摘要

The Shape-from-Shading problem is a classical problem in image processing. Despite the huge amount of articles that deal with it, few real applications have been developed because the usual assumptions considered in the theory are too restrictive. Only recently two new PDE models have been proposed in order to include in the model the perspective deformation of the image, this allows to drop the unrealistic assumption requiring that the point of view is very far from the object. We compare these two models and present two semi-Lagrangian approximation schemes which can be applied to compute the solution. Moreover, we analyze the effect of various boundary conditions on the first order equations corresponding to the models. Some test problems on real and virtual images are presented.