The variational approach to shape from shading
Computer Vision, Graphics, and Image Processing
Estimation of surface topography from SAR imagery using shape from shading techniques
Artificial Intelligence
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
Shape from shading: level set propagation and viscosity solutions
International Journal of Computer Vision
Computing Local Surface Orientation and Shape from Texture forCurved Surfaces
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
New Constraints on Data-Closeness and Needle Map Consistency for Shape-from-Shading
IEEE Transactions on Pattern Analysis and Machine Intelligence
High-Quality Texture Reconstruction from Multiple Scans
IEEE Transactions on Visualization and Computer Graphics
Automatic 3D Model Construction for Turn-Table Sequences
SMILE'98 Proceedings of the European Workshop on 3D Structure from Multiple Images of Large-Scale Environments
Shape-from-Shading Under Perspective Projection
International Journal of Computer Vision
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In this paper we show how the Mumford-Shah functional can be used to derive diffusion kernels that can be employed in the recovery of surface height in shape-from-shading. We commence from an initial field of surface normals which are constrained to fall on the Lambertian reflectance cone and to point in the direction of the local Canny edge gradient. We aim to find a path through this field of surface normals which can be used for surface height reconstruction. We demonstrate that the Mumford-Shah functional leads to a diffusion process which is a Markov chain on the field of surface normals. We find the steady state of the Markov chain using the leading eigenvector for the transition probability matrix computed from the diffusion kernels. We show how the steady state path can be used for height recovery and also for smoothing the initial field of surface normals.