A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Texture discrimination by projective invariants
Pattern Recognition Letters
Classification of Rotated and Scaled Textured Images Using Gaussian Markov Random Field Models
IEEE Transactions on Pattern Analysis and Machine Intelligence
Mathematical Programming: Series A and B
Direct computation of shape cues using scale-adapted spatial derivative operators
International Journal of Computer Vision - Special issue: machine vision research at the Royal Institute of Technology
Representing and Recognizing the Visual Appearance of Materials using Three-dimensional Textons
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Transformed Component Analysis: Joint Estimation of Spatial Transformations and Image Components
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Lucas-Kanade 20 Years On: A Unifying Framework
International Journal of Computer Vision
A Computational Model for Periodic Pattern Perception Based on Frieze and Wallpaper Groups
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale & Affine Invariant Interest Point Detectors
International Journal of Computer Vision
Distinctive Image Features from Scale-Invariant Keypoints
International Journal of Computer Vision
A Performance Evaluation of Local Descriptors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Parallel splitting augmented Lagrangian methods for monotone structured variational inequalities
Computational Optimization and Applications
Symmetry-based 3-D reconstruction from perspective images
Computer Vision and Image Understanding
Extraction, matching, and pose recovery based on dominant rectangular structures
Computer Vision and Image Understanding
ASIFT: A New Framework for Fully Affine Invariant Image Comparison
SIAM Journal on Imaging Sciences
Exact Matrix Completion via Convex Optimization
Foundations of Computational Mathematics
The power of convex relaxation: near-optimal matrix completion
IEEE Transactions on Information Theory
Skewed Rotation Symmetry Group Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Singular Value Thresholding Algorithm for Matrix Completion
SIAM Journal on Optimization
Translation-symmetry-based perceptual grouping with applications to urban scenes
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part III
Recovering Low-Rank and Sparse Components of Matrices from Incomplete and Noisy Observations
SIAM Journal on Optimization
Camera calibration with lens distortion from low-rank textures
CVPR '11 Proceedings of the 2011 IEEE Conference on Computer Vision and Pattern Recognition
IEEE Transactions on Multimedia
IEEE Transactions on Image Processing
Rotation-invariant texture classification using a complete space-frequency model
IEEE Transactions on Image Processing
Unwrapping low-rank textures on generalized cylindrical surfaces
ICCV '11 Proceedings of the 2011 International Conference on Computer Vision
RASL: Robust Alignment by Sparse and Low-Rank Decomposition for Linearly Correlated Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
A fast tri-factorization method for low-rank matrix recovery and completion
Pattern Recognition
Repairing sparse low-rank texture
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part V
Active subspace: Toward scalable low-rank learning
Neural Computation
Motion matters: a novel framework for compressing surveillance videos
Proceedings of the 21st ACM international conference on Multimedia
International Journal of Computer Vision
Robust subspace discovery via relaxed rank minimization
Neural Computation
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In this paper, we propose a new tool to efficiently extract a class of "low-rank textures" in a 3D scene from user-specified windows in 2D images despite significant corruptions and warping. The low-rank textures capture geometrically meaningful structures in an image, which encompass conventional local features such as edges and corners as well as many kinds of regular, symmetric patterns ubiquitous in urban environments and man-made objects. Our approach to finding these low-rank textures leverages the recent breakthroughs in convex optimization that enable robust recovery of a high-dimensional low-rank matrix despite gross sparse errors. In the case of planar regions with significant affine or projective deformation, our method can accurately recover both the intrinsic low-rank texture and the unknown transformation, and hence both the geometry and appearance of the associated planar region in 3D. Extensive experimental results demonstrate that this new technique works effectively for many regular and near-regular patterns or objects that are approximately low-rank, such as symmetrical patterns, building facades, printed text, and human faces.