Shape and motion from image streams under orthography: a factorization method
International Journal of Computer Vision
Sequential Updating of Projective and Affine Structure from Motion
International Journal of Computer Vision
Stratified Self-Calibration with the Modulus Constraint
IEEE Transactions on Pattern Analysis and Machine Intelligence
Linear fitting with missing data for structure-from-motion
Computer Vision and Image Understanding
Principal Component Analysis with Missing Data and Its Application to Polyhedral Object Modeling
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Euclidean Reconstruction from Uncalibrated Views
Proceedings of the Second Joint European - US Workshop on Applications of Invariance in Computer Vision
Factorization Methods for Projective Structure and Motion
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
A column-space approach to projective reconstruction
Computer Vision and Image Understanding
Self-calibration from one circular motion sequence and two images
Pattern Recognition
MIRAGE '09 Proceedings of the 4th International Conference on Computer Vision/Computer Graphics CollaborationTechniques
A column-space approach to projective reconstruction
Computer Vision and Image Understanding
Projective reconstruction of ellipses from multiple images
Pattern Recognition
A subspace method for projective reconstruction from multiple images with missing data
Image and Vision Computing
Journal of Signal Processing Systems
A subspace approach for matching 2D shapes under affine distortions
Pattern Recognition
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
Projective reconstruction of general 3D planar curves from uncalibrated cameras
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part II
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The problem of projective reconstruction by minimization of the 2D reprojection error in multiple images is considered. Although bundle adjustment techniques can be used to minimize the 2D reprojection error, these methods being based on nonlinear optimization algorithms require a good starting point. Quasi-linear algorithms with better global convergence properties can be used to generate an initial solution before submitting it to bundle adjustment for refinement. In this paper, we propose a factorization-based method to integrate the initial search as well as the bundle adjustment into a single algorithm consisting of a sequence of weighted least-squares problems, in which a control parameter is initially set to a relaxed state to allow the search of a good initial solution, and subsequently tightened up to force the final solution to approach a minimum point of the 2D reprojection error. The proposed algorithm is guaranteed to converge. Our method readily handles images with missing points.