Improved methods of estimating shape from shading using the light source coordinate system
Artificial Intelligence
The variational approach to shape from shading
Computer Vision, Graphics, and Image Processing
The Computation of Visible-Surface Representations
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Method for Enforcing Integrability in Shape from Shading Algorithms
IEEE Transactions on Pattern Analysis and Machine Intelligence
Calculating the reflectance map
Shape from shading
Numerical shape from shading and occluding boundaries
Shape from shading
Photometric invariants related to solid shape
Shape from shading
A provably convergent algorithm for shape from shading
Shape from shading
Shape from shading
Height and gradient from shading
International Journal of Computer Vision
CVGIP: Image Understanding
Estimation of Illuminant Direction, Albedo, and Shape from Shading
IEEE Transactions on Pattern Analysis and Machine Intelligence
Parametric Shape-from-Shading by Radial Basis Functions
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Reflectance and Shape from Images Using a Collinear Light Source
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Theoretical Analysis of Finite Difference Algorithms for Linear Shape from Shading
CAIP '01 Proceedings of the 9th International Conference on Computer Analysis of Images and Patterns
Incorporating Illumination Constraints in Deformable Models
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Direct Shape from Texture Using a Parametric Surface Model and an Adaptive Filtering Technique
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
A Multiresolution Approach for Shape from Shading Coupling Deterministic and Stochastic Optimization
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape-from-Shading Under Perspective Projection
International Journal of Computer Vision
A Two-Level Generative Model for Cloth Representation and Shape from Shading
IEEE Transactions on Pattern Analysis and Machine Intelligence
Numerical methods for shape-from-shading: A new survey with benchmarks
Computer Vision and Image Understanding
3D-spline reconstruction using shape from shading: Spline from shading
Image and Vision Computing
Shape from shading using graph cuts
Pattern Recognition
Spatial enhancement of digital terrain model using shape from shading with single satellite imagery
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartI
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The authors propose to combine a triangular element surface model with a linearized reflectance map to formulate the shape-from-shading problem. The main idea is to approximate a smooth surface by the union of triangular surface patches called triangular elements and express the approximating surface as a linear combination of a set of nodal basis functions. Since the surface normal of a triangular element is uniquely determined by the heights of its three vertices (or nodes), image brightness can be directly related to nodal heights using the linearized reflectance map. The surface height can then be determined by minimizing a quadratic cost functional corresponding to the squares of brightness errors and solved effectively with the multigrid computational technique. The proposed method does not require any integrability constraint or artificial assumptions on boundary conditions. Simulation results for synthetic and real images are presented to illustrate the performance and efficiency of the method.