A New Sense for Depth of Field
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape from random planar features
Computer Vision, Graphics, and Image Processing
Integrability disambiguates surface recovery in two-image photometric stereo
International Journal of Computer Vision
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
SIAM Journal on Scientific Computing
Rank-Two Relaxation Heuristics for MAX-CUT and Other Binary Quadratic Programs
SIAM Journal on Optimization
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
Shape from Texture without Boundaries
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
A linear-time heuristic for improving network partitions
DAC '82 Proceedings of the 19th Design Automation Conference
Binary Partitioning, Perceptual Grouping, and Restoration with Semidefinite Programming
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Non-Approximability for Quadratic Programs
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
A Semidefinite Programming Based Polyhedral Cut and Price Approach for the Maxcut Problem
Computational Optimization and Applications
Combining Cues: Shape from Shading and Texture
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 2
Shape from Shading: Recognizing the Mountains through a Global View
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 2
Algorithm 875: DSDP5—software for semidefinite programming
ACM Transactions on Mathematical Software (TOMS)
Graph seriation using semi-definite programming
GbRPR'05 Proceedings of the 5th IAPR international conference on Graph-Based Representations in Pattern Recognition
Probabilistic subgraph matching based on convex relaxation
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Multiclass image labeling with semidefinite programming
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
Exploring ambiguities for monocular non-rigid shape estimation
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
3D structure refinement of nonrigid surfaces through efficient image alignment
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part IV
Monocular Template-based Reconstruction of Inextensible Surfaces
International Journal of Computer Vision
Laplacian meshes for monocular 3d shape recovery
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part III
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We consider the problem of reconstructing a smooth surface under constraints that have discrete ambiguities. These problems arise in areas such as shape from texture, shape from shading, photometric stereo and shape from defocus. While the problem is computationally hard, heuristics based on semidefinite programming may reveal the shape of the surface.