Image Analysis Using Multigrid Relaxation Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
The variational approach to shape from shading
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Visual reconstruction
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IEEE Transactions on Pattern Analysis and Machine Intelligence
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Estimation of Illuminant Direction, Albedo, and Shape from Shading
IEEE Transactions on Pattern Analysis and Machine Intelligence
Physically Based Adaptive Preconditioning for Early Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonlinearities and Noise Reduction in 3-Source Photometric Stereo
Journal of Mathematical Imaging and Vision
On Poisson Solvers and Semi-Direct Methods for Computing Area Based Optical Flow
IEEE Transactions on Pattern Analysis and Machine Intelligence
The 2-D Leap-Frog: Integrability, Noise, and Digitization
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The 2-D leap-frog: integrability, noise, and digitization
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Noise Reduction in Surface Reconstruction from a Given Gradient Field
International Journal of Computer Vision
Recovering the Shading Image under Known Illumination
CRV '04 Proceedings of the 1st Canadian Conference on Computer and Robot Vision
Shape Representation and Classification Using the Poisson Equation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Structure-preserving manipulation of photographs
Proceedings of the 5th international symposium on Non-photorealistic animation and rendering
Efficient gradient-domain compositing using quadtrees
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Stereo Image Analysis of Non-Lambertian Surfaces
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Integrating the Normal Field of a Surface in the Presence of Discontinuities
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Denoising images: non-linear leap-frog for shape and light-source recovery
Proceedings of the 11th international conference on Theoretical foundations of computer vision
Surface reconstruction from multiple images filtering non-Lambert regions
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Enhancing sparsity using gradients for compressive sensing
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Photometric stereo for dynamic surface orientations
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part I
Shape representation and classification using the Poisson equation
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
What is the range of surface reconstructions from a gradient field?
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
A Gauss-Newton Method for the Integration of Spatial Normal Fields in Shape Space
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Static and dynamic 3D facial expression recognition: A comprehensive survey
Image and Vision Computing
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ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part VII
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Direct analytical methods are discussed for solving Poisson equations of the general form Delta u=f on a rectangular domain. Some embedding techniques that may be useful when boundary conditions (obtained from stereo and occluding boundary) are defined on arbitrary contours are described. The suggested algorithms are computationally efficient owing to the use of fast orthogonal transforms. Applications to shape from shading, lightness and optical flow problems are also discussed. A proof for the existence and convergence of the flow estimates is given. Experiments using synthetic images indicate that results comparable to those using multigrid can be obtained in a very small number of iterations.