A Method for Enforcing Integrability in Shape from Shading Algorithms
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Direct Analytical Methods for Solving Poisson Equations in Computer Vision Problems
IEEE Transactions on Pattern Analysis and Machine Intelligence
Height and gradient from shading
International Journal of Computer Vision
International Journal of Computer Vision
From Few to Many: Illumination Cone Models for Face Recognition under Variable Lighting and Pose
IEEE Transactions on Pattern Analysis and Machine Intelligence
Gradient domain high dynamic range compression
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
An Algebraic Multigrid Approach for Image Analysis
SIAM Journal on Scientific Computing
Shape and albedo from multiple images using integrability
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Noise Reduction in Surface Reconstruction from a Given Gradient Field
International Journal of Computer Vision
Removing photography artifacts using gradient projection and flash-exposure sampling
ACM SIGGRAPH 2005 Papers
Removing photography artifacts using gradient projection and flash-exposure sampling
ACM SIGGRAPH 2005 Papers
An Algebraic Approach to Surface Reconstruction from Gradient Fields
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 - Volume 01
Shapelets Correlated with Surface Normals Produce Surfaces
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)
Deterministic edge-preserving regularization in computed imaging
IEEE Transactions on Image Processing
Scene completion using millions of photographs
ACM SIGGRAPH 2007 papers
Restoring 2D Content from Distorted Documents
IEEE Transactions on Pattern Analysis and Machine Intelligence
View invariant head recognition by Hybrid PCA based reconstruction
Integrated Computer-Aided Engineering
Scene completion using millions of photographs
Communications of the ACM
Interactive normal reconstruction from a single image
ACM SIGGRAPH Asia 2008 papers
Time-resolved 3d capture of non-stationary gas flows
ACM SIGGRAPH Asia 2008 papers
Shadows in Three-Source Photometric Stereo
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part I
Median Photometric Stereo as Applied to the Segonko Tumulus and Museum Objects
International Journal of Computer Vision
Photometric stereo using LCD displays
Image and Vision Computing
GradientShop: A gradient-domain optimization framework for image and video filtering
ACM Transactions on Graphics (TOG)
Direct shape-from-shading with adaptive higher order regularisation
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
View invariant head recognition by hybrid PCA based reconstruction
AMFG'07 Proceedings of the 3rd international conference on Analysis and modeling of faces and gestures
Enhancing sparsity using gradients for compressive sensing
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Error-tolerant image compositing
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part I
Photometric stereo from maximum feasible Lambertian reflections
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part IV
Bottom-up segmentation for ghost-free reconstruction of a dynamic scene from multi-exposure images
Proceedings of the Seventh Indian Conference on Computer Vision, Graphics and Image Processing
Synthetic shape reconstruction combined with the FT-based method in photometric stereo
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part I
Interactive editing of massive imagery made simple: Turning Atlanta into Atlantis
ACM Transactions on Graphics (TOG)
A color to grayscale conversion considering local and global contrast
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part IV
Diffusion of geometric affinity for surface integration
SSPR'06/SPR'06 Proceedings of the 2006 joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
Multi-scale integration of slope data on an irregular mesh
PSIVT'11 Proceedings of the 5th Pacific Rim conference on Advances in Image and Video Technology - Volume Part I
A robust multi-scale integration method to obtain the depth from gradient maps
Computer Vision and Image Understanding
Static and dynamic 3D facial expression recognition: A comprehensive survey
Image and Vision Computing
Parallel gradient domain processing of massive images
EG PGV'11 Proceedings of the 11th Eurographics conference on Parallel Graphics and Visualization
Removing the example from example-based photometric stereo
ECCV'10 Proceedings of the 11th European conference on Trends and Topics in Computer Vision - Volume Part II
A 3D Imaging Framework Based on High-Resolution Photometric-Stereo and Low-Resolution Depth
International Journal of Computer Vision
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part III
Reconstructing shape from dictionaries of shading primitives
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part IV
Error-Tolerant Image Compositing
International Journal of Computer Vision
Reconstructing an image from its edge representation
Digital Signal Processing
Robust 3D face capture using example-based photometric stereo
Computers in Industry
Real-time recovery of moving 3D faces for emerging applications
Computers in Industry
International Journal of Computer Vision
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We propose a generalized equation to represent a continuum of surface reconstruction solutions of a given non-integrable gradient field. We show that common approaches such as Poisson solver and Frankot-Chellappa algorithm are special cases of this generalized equation. For a N × N pixel grid, the subspace of all integrable gradient fields is of dimension N2 – 1. Our framework can be applied to derive a range of meaningful surface reconstructions from this high dimensional space. The key observation is that the range of solutions is related to the degree of anisotropy in applying weights to the gradients in the integration process. While common approaches use isotropic weights, we show that by using a progression of spatially varying anisotropic weights, we can achieve significant improvement in reconstructions. We propose (a) α-surfaces using binary weights, where the parameter α allows trade off between smoothness and robustness, (b) M-estimators and edge preserving regularization using continuous weights and (c) Diffusion using affine transformation of gradients. We provide results on photometric stereo, compare with previous approaches and show that anisotropic treatment discounts noise while recovering salient features in reconstructions.