Image Analysis Using Multigrid Relaxation Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
The variational approach to shape from shading
Computer Vision, Graphics, and Image Processing
A Shape From Shading Analysis for a Single Perspective Image of a Polyhedron
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape from shading using the facet model
Pattern Recognition
Height and gradient from shading
International Journal of Computer Vision
CVGIP: Image Understanding
International Journal of Computer Vision
Visual reconstruction with discontinuities using variational methods
Image and Vision Computing
Shape from shading with perspective projection
CVGIP: Image Understanding
Tracking level sets by level sets: a method for solving the shape from shading problem
Computer Vision and Image Understanding
Generalization of the Lambertian model and implications for machine vision
International Journal of Computer Vision
Computer Vision and Image Understanding
Shape from shading and photometric stereo using surface approximation by Legendre polynomials
Computer Vision and Image Understanding
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
Ambiguous Shape from Shading with Critical Points
Journal of Mathematical Imaging and Vision
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Shape from Shading with a Linear Triangular Element Surface Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
An Algorithm for the Global Solution of the Shape-from-Shading Model
ICIAP '97 Proceedings of the 9th International Conference on Image Analysis and Processing-Volume I - Volume I
Shadows and shading flow fields
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Incorporating Illumination Constraints in Deformable Models
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Coupled Lighting Direction and Shape Estimation from Single Images
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
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
A Multiresolution Approach for Shape from Shading Coupling Deterministic and Stochastic Optimization
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Shape from Shading: A Well-Posed Problem?
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
A graph-spectral approach to shape-from-shading
IEEE Transactions on Image Processing
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In this work, we describe an original method of solving the shape from shading (SFS) problem, which relies on the marriage of two simple ideas. On the one hand, we propose to modelize the scene by a parametric surface, namely a 3D-spline. The key advantage is that boundary conditions are no longer required to render the problem well-posed. On the other hand, we introduce the concept of ''useful domain'': this is a sufficient set of pixels, whose greylevels are in accordance with the SFS hypotheses, which allows to solve the SFS problem on the whole reconstruction domain. The proposed method is described for both formulations of SFS, corresponding to orthographic and perspective projections. We can thus validate our method on synthetic as well as on real images.