Shape and motion from image streams under orthography: a factorization method
International Journal of Computer Vision
Affine analysis of image sequences
Affine analysis of image sequences
A Paraperspective Factorization Method for Shape and Motion Recovery
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Ambiguities in Structure From Motion
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Sequential Factorization Method for Recovering Shape and Motion From Image Streams
IEEE Transactions on Pattern Analysis and Machine Intelligence
Linear fitting with missing data for structure-from-motion
Computer Vision and Image Understanding
Error characterization of the factorization method
Computer Vision and Image Understanding
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
Factorization with Uncertainty
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Uncertainty Modeling for Optimal Structure from Motion
ICCV '99 Proceedings of the International Workshop on Vision Algorithms: Theory and Practice
Automatic 3D Model Construction for Turn-Table Sequences
SMILE'98 Proceedings of the European Workshop on 3D Structure from Multiple Images of Large-Scale Environments
A Factorization Method for Affine Structure from Line Correspondences
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
A Unified Factorization Algorithm for Points, Line Segments and Planes with Uncertainty Models
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Rank 1 Weighted Factorization for 3D Structure Recovery: Algorithms and Performance Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Three-dimensional modeling from two-dimensional video
IEEE Transactions on Image Processing
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When converting image sequence to 3D, several entries of the matrix have not been observed by occlusions and other entries have been perturbed by the influence of noise. In this paper, we propose a method for fitting geometrically missing data in noisy observation matrix with iterative SVD factorization. The main idea of the proposed algorithm is that the orientation and distance of noisy vector ca be handled directly by geometrical properties between 2D image plane and 3D error space under noise distribution. To confirm the recoverability of missing data, we carry out the experiments for synthetic and real sequences. The results in practical situations demonstrated with synthetic and real video sequences verify the efficiency and flexibility of the proposed method.