The variational approach to shape from shading
Computer Vision, Graphics, and Image Processing
Numerical recipes in C: the art of scientific computing
Numerical recipes in C: the art of scientific computing
Photometric method for determining surface orientation from multiple images
Shape from shading
The derivation of 3-D surface shape from shadows
Proceedings of a workshop on Image understanding workshop
International Journal of Computer Vision
Approximations for the maximum acyclic subgraph problem
Information Processing Letters
Toward Accurate Recovery of Shape from Shading Under Diffuse Lighting
IEEE Transactions on Pattern Analysis and Machine Intelligence
What Is the Set of Images of an Object Under All Possible Illumination Conditions?
International Journal of Computer Vision
Synthesizing bidirectional texture functions for real-world surfaces
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Shape from Shading: Provably Convergent Algorithms and Uniqueness Results
ECCV '94 Proceedings of the Third European Conference-Volume II on Computer Vision - Volume II
What Shadows Reveal about Object Structure
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Reflectance and Texture of Real-World Surfaces Authors
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
On 3-D Surface Reconstruction Using Shape from Shadows
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
MVIEW '99 Proceedings of the IEEE Workshop on Multi-View Modeling & Analysis of Visual Scenes
A neural network for recovering 3D shape from erroneous and few depth maps of shaded images
Pattern Recognition Letters
Shadow Graphs and 3D Texture Reconstruction
International Journal of Computer Vision - Special Issue on Texture Analysis and Synthesis
Surface detail in computer models
Image and Vision Computing
ShadowPix: Multiple Images from Self Shadowing
Computer Graphics Forum
Reconstruction of volumetric surface textures for real-time rendering
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
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We present a method to solve shape-from-shadow using shadow graphs which give a new graph-based representation for shadow constraints. It can be shown that the shadow graph alone is enough to solve the shape-from-shadow problem from a dense set of images. Shadow graphs provide a simpler and more systematic approach to represent and integrate shadow constraints from multiple images. To recover shape from a sparse set of images, we propose a method for integrated shadow and shading constraints. Previous shape-from-shadow algorithms do not consider shading constraints while shape-from-shading usually assumes there is no shadow. Our method is based on collecting a set of images from a fixed viewpoint as a known light source changes its position. It first builds a shadow graph from shadow constraints from which an upper bound for each pixel can be derived if the height values of a small number of pixels are initialized properly. Finally, a constrained optimization procedure is designed to make the results from shape-from-shading consistent with the upper bounds derived from the shadow constraints. Our technique is demonstrated on both synthetic and real imagery.