Surface descriptions from stereo and shading
Image and Vision Computing
The variational approach to shape from shading
Computer Vision, Graphics, and Image Processing
Direct methods in the calculus of variations
Direct methods in the calculus of variations
Shape from shading in the light of mutual illumination
Image and Vision Computing - Special issue: 5th Alvey vision meeting
Uniqueness in shape from shading
International Journal of Computer Vision
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
A viscosity solutions approach to shape-from-shading
SIAM Journal on Numerical Analysis
Impossible and ambiguous shading patterns
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Radiosity and realistic image synthesis
Radiosity and realistic image synthesis
Recovering the shape of polyhedra using line-drawing analysis and complex reflectance models
Computer Vision and Image Understanding - Special issue on physics-based modeling and reasoning in computer vision
Recovering high dynamic range radiance maps from photographs
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
International Journal of Computer Vision
Rendering with radiance: the art and science of lighting visualization
Rendering with radiance: the art and science of lighting visualization
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
A ray tracing solution for diffuse interreflection
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
A signal-processing framework for inverse rendering
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Radiosity and Global Illumination
Radiosity and Global Illumination
Shape from Shading and Viscosity Solutions
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
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
From Few to Many: Generative Models for Recognition Under Variable Pose and Illumination
FG '00 Proceedings of the Fourth IEEE International Conference on Automatic Face and Gesture Recognition 2000
Modeling the interaction of light between diffuse surfaces
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Creation of Real Images which are Valid for the Assumptions Made in Shape from Shading
ICIAP '99 Proceedings of the 10th International Conference on Image Analysis and Processing
Advanced Global Illumination
SHAPE FROM SHADING: A METHOD FOR OBTAINING THE SHAPE OF A SMOOTH OPAQUE OBJECT FROM ONE VIEW
SHAPE FROM SHADING: A METHOD FOR OBTAINING THE SHAPE OF A SMOOTH OPAQUE OBJECT FROM ONE VIEW
Projector-based three dimensional graphics
Projector-based three dimensional graphics
Physically Based Rendering: From Theory to Implementation
Physically Based Rendering: From Theory to Implementation
Shape-from-Shading Under Perspective Projection
International Journal of Computer Vision
Shape from Shading: A Well-Posed Problem?
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
Exposing digital forgeries by detecting inconsistencies in lighting
MM&Sec '05 Proceedings of the 7th workshop on Multimedia and security
Fast and detailed approximate global illumination by irradiance decomposition
ACM SIGGRAPH 2005 Papers
Radiance Caching for Efficient Global Illumination Computation
IEEE Transactions on Visualization and Computer Graphics
A Generic and Provably Convergent Shape-from-Shading Method for Orthographic and Pinhole Cameras
International Journal of Computer Vision
A Cortical Mechanism for Triggering Top-Down Facilitation in Visual Object Recognition
Journal of Cognitive Neuroscience
Numerical methods for shape-from-shading: A new survey with benchmarks
Computer Vision and Image Understanding
Shadows in Three-Source Photometric Stereo
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part I
Surface radiance correction for shape from shading
Pattern Recognition
Integrating surface normal vectors using fast marching method
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
Shape-From-Shading Using the Heat Equation
IEEE Transactions on Image Processing
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The shading on curved surfaces is a cue to shape. Current computer vision methods for analyzing shading use physically unrealistic models, have serious mathematical problems, cannot exploit geometric information if it is available, and are not reliable in practice. We introduce a novel method of accounting for variations in irradiance resulting from interreflections, complex sources and the like. Our approach uses a spatially varying source model with a local shading model. Fast spatial variation in the source is penalised, consistent with the rendering community's insight that interreflections are spatially slow. This yields a physically plausible shading model. Because modern cameras can make accurate reports of observed radiance, our method compels the reconstructed surface to have shading exactly consistent with that of the image. For inference, we use a variational formulation, with a selection of regularization terms which guarantee that a solution exists. Our method is evaluated on physically accurate renderings of virtual objects, and on images of real scenes, for a variety of different kinds of boundary condition. Reconstructions for single sources compare well with photometric stereo reconstructions and with ground truth.