Optimal control with state-space constraint II
SIAM Journal on Control and Optimization
Wavelength selection for synthetic image generation
Computer Vision, Graphics, and Image Processing
Computer Vision, Graphics, and Image Processing
Shape from shading
Uniqueness in shape from shading
International Journal of Computer Vision
Shape from shading as a partially well-constrained problem
CVGIP: Image Understanding
A viscosity solutions approach to shape-from-shading
SIAM Journal on Numerical Analysis
Tracking level sets by level sets: a method for solving the shape from shading problem
Computer Vision and Image Understanding
Computer Vision and Image Understanding
On convergence in the methods of Strat and of Smith for shape from shading
International Journal of Computer Vision
Computer Vision and Image Understanding
IEEE Transactions on Pattern Analysis and Machine Intelligence
Optimal Algorithm for Shape from Shading and Path Planning
Journal of Mathematical Imaging and Vision
Shape from Shading: Provably Convergent Algorithms and Uniqueness Results
ECCV '94 Proceedings of the Third European Conference-Volume II on Computer Vision - Volume II
Shape from Shading and Viscosity Solutions
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Towards 3D Reconstruction of Endoscope Images using Shape from Shading
SIBGRAPI '00 Proceedings of the 13th Brazilian Symposium on Computer Graphics and Image Processing
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
Global Shape from Shading for an Endoscope Image
MICCAI '99 Proceedings of the Second International Conference on Medical Image Computing and Computer-Assisted Intervention
A Divide-and-conquer Strategy in Shape from Shading Problem
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
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
A Generic and Provably Convergent Shape-from-Shading Method for Orthographic and Pinhole Cameras
International Journal of Computer Vision
Vector-valued image regularization with PDE's: a common framework for different applications
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Recovering Shape by Shading and Stereo Under Lambertian Shading Model
International Journal of Computer Vision
Making Shape from Shading Work for Real-World Images
Proceedings of the 31st DAGM Symposium on Pattern Recognition
A new technique for the digitization and restoration of deteriorated photographic negatives
Journal on Image and Video Processing - Special issue on image and video processing for cultural heritage
User-guided shape from shading to reconstruct fine details from a single photograph
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part I
Geodesic Methods in Computer Vision and Graphics
Foundations and Trends® in Computer Graphics and Vision
Approximating 3D facial shape from photographs using coupled statistical models
CIARP'06 Proceedings of the 11th Iberoamerican conference on Progress in Pattern Recognition, Image Analysis and Applications
Fast marching method for generic shape from shading
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Perspective Shape from Shading: Ambiguity Analysis and Numerical Approximations
SIAM Journal on Imaging Sciences
Template-Based conformal shape-from-motion-and-shading for laparoscopy
IPCAI'12 Proceedings of the Third international conference on Information Processing in Computer-Assisted Interventions
Reconstruction of 3d surface and restoration of flat document image from monocular image sequence
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part IV
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We propose a new method for the Lambertian Shape From Shading (SFS) problem based on the notion of Crandall-Lions viscosity solution. This method has the advantage of requiring the knowledge of the solution (the surface to be reconstructed) only on some part of the boundary and/or of the singular set (the set of the points at maximal intensity). Moreover it unifies in an unique mathematical formulation the works of Rouy et al. [34, 50], Falcone et al. [21], Prados et al. [46, 48, 49], based on the notion of viscosity solutions and the work of Dupuis and Oliensis [17] dealing with classical solutions and value functions. Also, it allows to generalize their results to the "perspective SFS" problem recently simultaneously introduced in [13,46,55].While the theoretical part has been developed in [44], in this paper we give some stability results and we describe numerical schemes for the SFS based on this method. We construct provably convergent and robust algorithms. Finally, we apply our SFS method to real images and we suggest some real-life applications.