A viscosity solutions approach to shape-from-shading
SIAM Journal on Numerical Analysis
Discontinuous solutions of a Hamilton-Jacobi equation with infinite speed of propagation
SIAM Journal on Mathematical Analysis
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
A New Perspective [on] Shape-from-Shading
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
"Perspective Shape from Shading" and Viscosity Solutions
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Towards Shape from Shading under Realistic Photographic Conditions
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 2 - Volume 02
Reconstruction of Medical Images by Perspective Shape-from-Shading
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 3 - Volume 03
Shape from shading for the digitization of curved documents
Machine Vision and Applications
Perspective Shape from Shading with Non-Lambertian Reflectance
Proceedings of the 30th DAGM symposium on Pattern Recognition
Fast Shape from Shading for Phong-Type Surfaces
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Making Shape from Shading Work for Real-World Images
Proceedings of the 31st DAGM Symposium on Pattern Recognition
Perspective Shape from Shading: Ambiguity Analysis and Numerical Approximations
SIAM Journal on Imaging Sciences
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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.