A theory of self-calibration of a moving camera
International Journal of Computer Vision
Shape and motion from image streams under orthography: a factorization method
International Journal of Computer Vision
Self-calibration of an affine camera from multiple views
International Journal of Computer Vision
Euclidean Shape and Motion from Multiple Perspective Views by Affine Iterations
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Paraperspective Factorization Method for Shape and Motion Recovery
IEEE Transactions on Pattern Analysis and Machine Intelligence
Kruppa's Equations Derived from the Fundamental Matrix
IEEE Transactions on Pattern Analysis and Machine Intelligence
Self-Calibration of a Moving Camera from PointCorrespondences and Fundamental Matrices
International Journal of Computer Vision
A Multibody Factorization Method for Independently Moving Objects
International Journal of Computer Vision
Robust detection of degenerate configurations while estimating the fundamental matrix
Computer Vision and Image Understanding
International Journal of Computer Vision - 1998 Marr Prize
Multiple view geometry in computer vision
Multiple view geometry in computer vision
A Factorization Based Algorithm for Multi-Image Projective Structure and Motion
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Factorization Methods for Projective Structure and Motion
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Separability of Pose and Expression in Facial Tracking and Animation
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Non-Rigid Structure from Motion using non-Parametric Tracking and Non-Linear Optimization
CVPRW '04 Proceedings of the 2004 Conference on Computer Vision and Pattern Recognition Workshop (CVPRW'04) Volume 1 - Volume 01
A Direct Method for 3D Factorization of Nonrigid Motion Observed in 2D
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
Damped Newton Algorithms for Matrix Factorization with Missing Data
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
A Factorization-Based Approach to Articulated Motion Recovery
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
Uncalibrated Perspective Reconstruction of Deformable Structures
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
A Closed-Form Solution to Non-Rigid Shape and Motion Recovery
International Journal of Computer Vision
Non-Rigid Metric Shape and Motion Recovery from Uncalibrated Images Using Priors
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
Iterative Extensions of the Sturm/Triggs Algorithm: Convergence and Nonconvergence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Rotation constrained power factorization for structure from motion of nonrigid objects
Pattern Recognition Letters
Multiframe Motion Segmentation with Missing Data Using PowerFactorization and GPCA
International Journal of Computer Vision
Nonrigid Structure-from-Motion: Estimating Shape and Motion with Hierarchical Priors
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Optimization Algorithms on Subspaces: Revisiting Missing Data Problem in Low-Rank Matrix
International Journal of Computer Vision
Camera Self-Calibration and Three Dimensional Reconstruction under Quasi-Perspective Projection
CRV '08 Proceedings of the 2008 Canadian Conference on Computer and Robot Vision
Nonrigid shape and motion from multiple perspective views
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
The quasi-perspective model: Geometric properties and 3D reconstruction
Pattern Recognition
Optimal Metric Projections for Deformable and Articulated Structure-from-Motion
International Journal of Computer Vision
Two-View geometry and reconstruction under quasi-perspective projection
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part II
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This paper addresses the problem of factorization-based 3D reconstruction from uncalibrated image sequences. Previous studies on structure and motion factorization are either based on simplified affine assumption or general perspective projection. The affine approximation is widely adopted due to its simplicity, whereas the extension to perspective model suffers from recovering projective depths. To fill the gap between simplicity of affine and accuracy of perspective model, we propose a quasi-perspective projection model for structure and motion recovery of rigid and nonrigid objects based on factorization framework. The novelty and contribution of this paper are as follows. Firstly, under the assumption that the camera is far away from the object with small lateral rotations, we prove that the imaging process can be modeled by quasi-perspective projection, which is more accurate than affine model from both geometrical error analysis and experimental studies. Secondly, we apply the model to establish a framework of rigid and nonrigid factorization under quasi-perspective assumption. Finally, we propose an Extended Cholesky Decomposition to recover the rotation part of the Euclidean upgrading matrix. We also prove that the last column of the upgrading matrix corresponds to a global scale and translation of the camera thus may be set freely. The proposed method is validated and evaluated extensively on synthetic and real image sequences and improved results over existing schemes are observed.