A viscosity solutions approach to shape-from-shading
SIAM Journal on Numerical Analysis
Shape from shading: level set propagation and viscosity solutions
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Numerical Shape-From-Shading for Discontinuous Photographic Images
International Journal of Computer Vision
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
A Generic and Provably Convergent Shape-from-Shading Method for Orthographic and Pinhole Cameras
International Journal of Computer Vision
Integrative 3D modelling of complex carving surface
Computer-Aided Design
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The Shape-from-Shading models in image analysis lead to first order Hamilton-Jacobi equations which may have several weak solutions (in the viscosity sense). Moreover, for real images, these equations are highly discontinuous in the space variable. The lack of uniqueness and the irregularity of the coefficients involve some troubles when we try to compute a solution. In order to avoid these difficulties, here we use recent results in the theory of viscosity solutions to characterize the maximal solution of these equations. Moreover we describe an approximation procedure via smooth equations with a unique viscosity solution.