An Iterative Factorization Method Based on Rank 1 for Projective Structure and Motion

Shigang LIU
Chengke WU
Li TANG
Jing JIA

Publication
IEICE TRANSACTIONS on Information and Systems   Vol.E88-D    No.9    pp.2183-2188
Publication Date: 2005/09/01
Online ISSN: 
DOI: 10.1093/ietisy/e88-d.9.2183
Print ISSN: 0916-8532
Type of Manuscript: PAPER
Category: Image Recognition, Computer Vision
Keyword: 
projective reconstruction,  factorization method,  recursive structure from motion,  

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Summary: 
We propose a method for the recovery of projective structure and motion by the factorization of the rank 1 matrix containing the images of all points in all views. In our method, the unknowns are the 3D motion and relative depths of the set of points, not their 3D positions. The coordinates of the points along the camera plane are given by their image positions in the first frame. The knowledge of the coordinates along the camera plane enables us to solve the SFM problem by iteratively factorizing the rank 1 matrix. This simplifies the decomposition compared with the SVD (Singular Value Decomposition). Experiments with both simulated and real data show that the method is efficient for the recovery of projective structure and motion.


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