Visual reconstruction
Robust regression and outlier detection
Robust regression and outlier detection
Introduction to statistical pattern recognition (2nd ed.)
Introduction to statistical pattern recognition (2nd ed.)
Robust regression methods for computer vision: a review
International Journal of Computer Vision
Shape and motion from image streams under orthography: a factorization method
International Journal of Computer Vision
Visual learning and recognition of 3-D objects from appearance
International Journal of Computer Vision
The robust estimation of multiple motions: parametric and piecewise-smooth flow fields
Computer Vision and Image Understanding
Principal component neural networks: theory and applications
Principal component neural networks: theory and applications
International Journal of Computer Vision
Matrix computations (3rd ed.)
Probabilistic Visual Learning for Object Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
The symmetric eigenvalue problem
The symmetric eigenvalue problem
EigenTracking: Robust Matching and Tracking of Articulated Objects Using a View-Based Representation
International Journal of Computer Vision
EM algorithms for PCA and SPCA
NIPS '97 Proceedings of the 1997 conference on Advances in neural information processing systems 10
Mixtures of probabilistic principal component analyzers
Neural Computation
Robust algorithms for principal component analysis
Pattern Recognition Letters
International Journal of Computer Vision
Robust computer vision: an interdisciplinary challenge
Computer Vision and Image Understanding - Special issue on robusst statistical techniques in image understanding
Robust image matching under partial occlusion and spatially varying illumination change
Computer Vision and Image Understanding - Special issue on robusst statistical techniques in image understanding
Normalized Cuts and Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Eigenvalue computation in the 20th century
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. III: linear algebra
Multiple view geometry in computer visiond
Multiple view geometry in computer visiond
Principal Component Analysis with Missing Data and Its Application to Polyhedral Object Modeling
IEEE Transactions on Pattern Analysis and Machine Intelligence
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
A Paraperspective Factorization Method for Shape and Motion Recovery
ECCV '94 Proceedings of the Third European Conference-Volume II on Computer Vision - Volume II
Robust Parameterized Component Analysis
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part IV
A Robust PCA Algorithm for Building Representations from Panoramic Images
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part IV
Learning Parameterized Models of Image Motion
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
A Framework for Modeling the Appearance of 3D Articulated Figures
FG '00 Proceedings of the Fourth IEEE International Conference on Automatic Face and Gesture Recognition 2000
A Unified Factorization Algorithm for Points, Line Segments and Planes with Uncertainty Models
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Separating Style and Content with Bilinear Models
Neural Computation
IEEE Transactions on Image Processing
Robust principal component analysis by self-organizing rules based on statistical physics approach
IEEE Transactions on Neural Networks
Robust parameterized component analysis: theory and applications to 2D facial appearance models
Computer Vision and Image Understanding - Special issue on Face recognition
Appearance-Based Face Recognition and Light-Fields
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust normalization of silhouettes for recognition applications
Pattern Recognition Letters - Special issue: Discrete geometry for computer imagery (DGCI'2002)
Segmenting motion capture data into distinct behaviors
GI '04 Proceedings of the 2004 Graphics Interface Conference
Synthesizing physically realistic human motion in low-dimensional, behavior-specific spaces
ACM SIGGRAPH 2004 Papers
IEEE Transactions on Pattern Analysis and Machine Intelligence
Object Level Grouping for Video Shots
International Journal of Computer Vision
R1-PCA: rotational invariant L1-norm principal component analysis for robust subspace factorization
ICML '06 Proceedings of the 23rd international conference on Machine learning
Robust locally linear embedding
Pattern Recognition
Weighted and robust learning of subspace representations
Pattern Recognition
Robust self-tuning semi-supervised learning
Neurocomputing
Incremental and robust learning of subspace representations
Image and Vision Computing
Optimization Algorithms on Subspaces: Revisiting Missing Data Problem in Low-Rank Matrix
International Journal of Computer Vision
Analysis of Building Textures for Reconstructing Partially Occluded Facades
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part I
Robust PCA and clustering in noisy mixtures
SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
SCIA '09 Proceedings of the 16th Scandinavian Conference on Image Analysis
Outliers in biometrical data: What's old, What's new
International Journal of Biometrics
Segmentation of rodent brains from MRI based on a novel statistical structure prediction method
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
Representing cyclic human motion using functional analysis
Image and Vision Computing
Active appearance models with occlusion
Image and Vision Computing
Learning a generic 3D face model from 2D image databases using incremental Structure-from-Motion
Image and Vision Computing
A family of principal component analyses for dealing with outliers
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention
Real-time subspace-based background modeling using multi-channel data
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part II
Active appearance models fitting with occlusion
EMMCVPR'07 Proceedings of the 6th international conference on Energy minimization methods in computer vision and pattern recognition
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
Outliers in some Faces and non-Faces data
International Journal of Biometrics
Base selection in estimating sparse foreground in video
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Subspace methods for retrieval of general 3D models
Computer Vision and Image Understanding
Local smoothing for manifold learning
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Robust subspace clustering by combined use of kNND metric and SVD algorithm
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Learning 3D appearance models from video
FGR' 04 Proceedings of the Sixth IEEE international conference on Automatic face and gesture recognition
Robust principal component analysis?
Journal of the ACM (JACM)
Locally linear embedding: a survey
Artificial Intelligence Review
A regularized correntropy framework for robust pattern recognition
Neural Computation
Robust regression for face recognition
Pattern Recognition
Improve robustness of sparse PCA by L1-norm maximization
Pattern Recognition
Research of robust facial expression recognition under facial occlusion condition
AMT'11 Proceedings of the 7th international conference on Active media technology
Weighted principal component extraction with genetic algorithms
Applied Soft Computing
Long term carefully learning for person detection application to intelligent surveillance system
Proceedings of the 9th International Conference on Advances in Mobile Computing and Multimedia
Conservative visual learning for object detection with minimal hand labeling effort
PR'05 Proceedings of the 27th DAGM conference on Pattern Recognition
Robust active shape model construction and fitting for facial feature localization
AVBPA'05 Proceedings of the 5th international conference on Audio- and Video-Based Biometric Person Authentication
Robust principal component analysis with non-greedy l1-norm maximization
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
Foreground detection by robust PCA solved via a linearized alternating direction method
ICIAR'12 Proceedings of the 9th international conference on Image Analysis and Recognition - Volume Part I
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part IV
ECCV'10 Proceedings of the 11th European conference on Trends and Topics in Computer Vision - Volume Part I
Euler Principal Component Analysis
International Journal of Computer Vision
Feature extraction based on Lp-norm generalized principal component analysis
Pattern Recognition Letters
Generic active appearance models revisited
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part III
Least squares estimation-based adaptive observation model for aerial visual tracking applications
International Journal of Computational Vision and Robotics
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Many computer vision, signal processing and statistical problems can be posed as problems of learning low dimensional linear or multi-linear models. These models have been widely used for the representation of shape, appearance, motion, etc., in computer vision applications. Methods for learning linear models can be seen as a special case of subspace fitting. One draw-back of previous learning methods is that they are based on least squares estimation techniques and hence fail to account for “outliers” which are common in realistic training sets. We review previous approaches for making linear learning methods robust to outliers and present a new method that uses an intra-sample outlier process to account for pixel outliers. We develop the theory of Robust Subspace Learning (RSL) for linear models within a continuous optimization framework based on robust M-estimation. The framework applies to a variety of linear learning problems in computer vision including eigen-analysis and structure from motion. Several synthetic and natural examples are used to develop and illustrate the theory and applications of robust subspace learning in computer vision.