A Method for Enforcing Integrability in Shape from Shading Algorithms
IEEE Transactions on Pattern Analysis and Machine Intelligence
Constraining Object Features Using a Polarization Reflectance Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
Estimation of Illuminant Direction, Albedo, and Shape from Shading
IEEE Transactions on Pattern Analysis and Machine Intelligence
Where and Why Local Shading Analysis Works
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape from Shading with a Linear Triangular Element Surface Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Discontinuity-Adaptive Smoothness Priors in Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Intensity- and Gradient-Based Stereo Matching Using Hierarchical Gaussian Basis Functions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Reflectance and Shape from Images Using a Collinear Light Source
International Journal of Computer Vision
Closed Form Solution of Local Shape from Shading at Critical Points
International Journal of Computer Vision
Symmetric Shape-from-Shading Using Self-ratio Image
International Journal of Computer Vision
Densification of Digital Terrain Elevations Using Shape from Shading with Single Satellite Imagery
ICCS '01 Proceedings of the International Conference on Computational Science-Part II
Optimization of DTM Interpolation Using SFS with Single Satellite Imagery
The Journal of Supercomputing
A neural network for recovering 3D shape from erroneous and few depth maps of shaded images
Pattern Recognition Letters
A Two-Level Generative Model for Cloth Representation and Shape from Shading
IEEE Transactions on Pattern Analysis and Machine Intelligence
Modelling and Simulation in Engineering
Multiple-view shape extraction from shading as local regression by analytic NN scheme
Mathematical and Computer Modelling: An International Journal
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In this paper, we present a new method of shape from shading by using radial basis functions to parameterize the object depth. The radial basis functions are deformed by adjusting their centers, widths, and weights such that the intensity errors are minimized. The initial centers and widths are arranged hierarchically to speed up convergence and to stabilize the solution. Although the smoothness constraint is used, it can be eventually dropped out without causing instabilities in the solution. An important feature of our parametric shape-from-shading method is that it offers a unified framework for integration of multiple sensory information. We show that knowledge about surface depth and/or surface normals anywhere in the image can be easily incorporated into the shape from shading process. It is further demonstrated that even qualitative knowledge can be used in shape from shading to improve 3D reconstruction. Experimental comparisons of our method with several existing ones are made by using both synthetic and real images. Results show that our solution is more accurate than the others.