International Journal of Computer Vision
The Geometry of Algorithms with Orthogonality Constraints
SIAM Journal on Matrix Analysis and Applications
Application of Lie Algebras to Visual Servoing
International Journal of Computer Vision - Special issue on image-based servoing
Optimization Criteria and Geometric Algorithms for Motion and Structure Estimation
International Journal of Computer Vision
Means and Averaging in the Group of Rotations
SIAM Journal on Matrix Analysis and Applications
Structure and Motion from Line Segments in Multiple Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Real-Time Visual Tracking of Complex Structures
IEEE Transactions on Pattern Analysis and Machine Intelligence
Face Recognition Using Temporal Image Sequence
FG '98 Proceedings of the 3rd. International Conference on Face & Gesture Recognition
Optimal Linear Representations of Images for Object Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Simultaneous Multiple 3D Motion Estimation via Mode Finding on Lie Groups
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 - Volume 01
Matching Shape Sequences in Video with Applications in Human Movement Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Riemannian Framework for Tensor Computing
International Journal of Computer Vision
Metric Learning for Text Documents
IEEE Transactions on Pattern Analysis and Machine Intelligence
Covariance Tracking using Model Update Based on Lie Algebra
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
Nonlinear Mean Shift for Clustering over Analytic Manifolds
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 2
Pursuing Informative Projection on Grassmann Manifold
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 2
Lie algebra approach for tracking and 3D motion estimation using monocular vision
Image and Vision Computing
Discriminative Learning and Recognition of Image Set Classes Using Canonical Correlations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Grassmann discriminant analysis: a unifying view on subspace-based learning
Proceedings of the 25th international conference on Machine learning
Pedestrian Detection via Classification on Riemannian Manifolds
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust Visual Tracking Based on an Effective Appearance Model
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part IV
Grassmann Registration Manifolds for Face Recognition
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part II
Principal Angles Separate Subject Illumination Spaces in YDB and CMU-PIE
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonlinear Mean Shift over Riemannian Manifolds
International Journal of Computer Vision
Kernel Grassmannian distances and discriminant analysis for face recognition from image sets
Pattern Recognition Letters
Regressed Importance Sampling on Manifolds for Efficient Object Tracking
AVSS '09 Proceedings of the 2009 Sixth IEEE International Conference on Advanced Video and Signal Based Surveillance
Covariance Tracking via Geometric Particle Filtering
ICICTA '09 Proceedings of the 2009 Second International Conference on Intelligent Computation Technology and Automation - Volume 01
Rate-invariant recognition of humans and their activities
IEEE Transactions on Image Processing
Visual Tracking via Particle Filtering on the Affine Group
International Journal of Robotics Research
Canonical Stiefel quotient and its application to generic face recognition in illumination spaces
BTAS'09 Proceedings of the 3rd IEEE international conference on Biometrics: Theory, applications and systems
Recognition of digital images of the human face at ultra low resolution via illumination spaces
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part II
Geodesic discriminant analysis on curved riemannian manifold
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 5
Bidirectional composition on Lie groups for gradient-based image alignment
IEEE Transactions on Image Processing
Multi-class classification on Riemannian manifolds for video surveillance
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
Tensor sparse coding for region covariances
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part IV
Aligning spatio-temporal signals on a special manifold
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part V
Action Recognition Using Sparse Representation on Covariance Manifolds of Optical Flow
AVSS '10 Proceedings of the 2010 7th IEEE International Conference on Advanced Video and Signal Based Surveillance
A Re-evaluation of Pedestrian Detection on Riemannian Manifolds
ICPR '10 Proceedings of the 2010 20th International Conference on Pattern Recognition
Nearest-neighbor search algorithms on non-Euclidean manifolds for computer vision applications
Proceedings of the Seventh Indian Conference on Computer Vision, Graphics and Image Processing
Covariance tracking via geometric particle filtering
EURASIP Journal on Advances in Signal Processing - Special issue on advanced image processing for defense and security applications
Action recognition in video by sparse representation on covariance manifolds of silhouette tunnels
ICPR'10 Proceedings of the 20th International conference on Recognizing patterns in signals, speech, images, and videos
Computer Vision and Image Understanding
Statistical Computations on Grassmann and Stiefel Manifolds for Image and Video-Based Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Subspace estimation using projection based m-estimators over grassmann manifolds
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Trace quotient problems revisited
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
Graph embedding discriminant analysis on Grassmannian manifolds for improved image set matching
CVPR '11 Proceedings of the 2011 IEEE Conference on Computer Vision and Pattern Recognition
Gabor-Based Region Covariance Matrices for Face Recognition
IEEE Transactions on Circuits and Systems for Video Technology
Fast Pedestrian Detection Using a Cascade of Boosted Covariance Features
IEEE Transactions on Circuits and Systems for Video Technology
Using a Product Manifold distance for unsupervised action recognition
Image and Vision Computing
Sparse coding and dictionary learning for symmetric positive definite matrices: a kernel approach
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part II
Human gesture recognition on product manifolds
The Journal of Machine Learning Research
Kernel analysis on Grassmann manifolds for action recognition
Pattern Recognition Letters
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The attention paid to matrix manifolds has grown considerably in the computer vision community in recent years. There are a wide range of important applications including face recognition, action recognition, clustering, visual tracking, and motion grouping and segmentation. The increased popularity of matrix manifolds is due partly to the need to characterize image features in non-Euclidean spaces. Matrix manifolds provide rigorous formulations allowing patterns to be naturally expressed and classified in a particular parameter space. This paper gives an overview of common matrix manifolds employed in computer vision and presents a summary of related applications. Researchers in computer vision should find this survey beneficial due to the overview of matrix manifolds, the discussion as well as the collective references.