Stereo-Motion with Stereo and Motion in Complement
IEEE Transactions on Pattern Analysis and Machine Intelligence
Least Squares Estimation of 3D Shape and Motion of Rigid Objects from Their Orthographic Projections
IEEE Transactions on Pattern Analysis and Machine Intelligence
Estimating the Jacobian of the Singular Value Decomposition: Theory and Applications
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Error Characterization of the Factorization Approach to Shape and Motion Recovery
ICCV '99 Proceedings of the International Workshop on Vision Algorithms: Theory and Practice
Presence: Teleoperators and Virtual Environments
Dense Shape and Motion from Region Correspondences by Factorization
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Rank 1 Weighted Factorization for 3D Structure Recovery: Algorithms and Performance Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Sequential projective reconstruction with factorization
Machine Graphics & Vision International Journal
An Analysis of Linear Subspace Approaches for Computer Vision and Pattern Recognition
International Journal of Computer Vision
Rotation constrained power factorization for structure from motion of nonrigid objects
Pattern Recognition Letters
Recovering the 3D shape and poses of face images based on the similarity transform
Pattern Recognition Letters
Geometrical recovery of missing data for shape from motion
International Journal of Computer Mathematics
Rank Constraints for Homographies over Two Views: Revisiting the Rank Four Constraint
International Journal of Computer Vision
An Iterative Multiresolution Scheme for SFM with Missing Data
Journal of Mathematical Imaging and Vision
An iterative multiresolution scheme for SFM with missing data: Single and multiple object scenes
Image and Vision Computing
International Journal of Computer Vision
SOFSEM'08 Proceedings of the 34th conference on Current trends in theory and practice of computer science
ICONIP'08 Proceedings of the 15th international conference on Advances in neuro-information processing - Volume Part I
Quasi-perspective structure factorization with missing data
CAR'10 Proceedings of the 2nd international Asia conference on Informatics in control, automation and robotics - Volume 2
Euclidean structure recovery from motion in perspective image sequences via Hankel rank minimization
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
Interior-Point Method for Nuclear Norm Approximation with Application to System Identification
SIAM Journal on Matrix Analysis and Applications
Deterministic 3D human pose estimation using rigid structure
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
3D object recognition based on canonical angles between shape subspaces
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part IV
PCA document reconstruction for email classification
Computational Statistics & Data Analysis
Geometrical fitting of missing data for shape from motion under noise distribution
ICNC'06 Proceedings of the Second international conference on Advances in Natural Computation - Volume Part II
Uncertainty analysis using geometrical property between 2d-to-3d under affine projection
FSKD'06 Proceedings of the Third international conference on Fuzzy Systems and Knowledge Discovery
A novel recovery algorithm of incomplete observation matrix for converting 2-d video to 3-d content
IWICPAS'06 Proceedings of the 2006 Advances in Machine Vision, Image Processing, and Pattern Analysis international conference on Intelligent Computing in Pattern Analysis/Synthesis
Deformation weight constraint and 3D reconstruction of nonrigid objects
ICIAR'07 Proceedings of the 4th international conference on Image Analysis and Recognition
Low-rank matrix decomposition in L1-norm by dynamic systems
Image and Vision Computing
Document categorization based on minimum loss of reconstruction information
MICAI'12 Proceedings of the 11th Mexican international conference on Advances in Computational Intelligence - Volume Part II
Recursive non-rigid structure from motion with online learned shape prior
Computer Vision and Image Understanding
Approximation of rank function and its application to the nearest low-rank correlation matrix
Journal of Global Optimization
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We present a sequential factorization method for recovering the three-dimensional shape of an object and the motion of the camera from a sequence of images, using tracked features. The factorization method originally proposed by Tomasi and Kanade produces robust and accurate results incorporating the singular value decomposition. However, it is still difficult to apply the method to real-time applications, since it is based on a batch-type operation and the cost of the singular value decomposition is large. We develop the factorization method into a sequential method by regarding the feature positions as a vector time series. The new method produces estimates of shape and motion at each frame. The singular value decomposition is replaced with an updating computation of only three dominant eigenvectors, which can be performed in O(P2) time, while the complete singular value decomposition requires O(FP2) operations for an F脳P matrix. Also, the method is able to handle infinite sequences, since it does not store any increasingly large matrices. Experiments using synthetic and real images illustrate that the method has nearly the same accuracy and robustness as the original method.