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Abstract: The paper describes the rank 1 weighted factorization solution to the structure from motion problem. This method recovers the 3D structure from the factorization of a data matrix that is rank 1 rather than rank 3. This matrix collects the estimates of the 2D motions of a set of feature points of the rigid object. These estimates are weighted by the inverse of the estimates error standard deviation so that the 2D motion estimates for "sharper" features, which are usually well-estimated, are... (Update)
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BibTeX entry: (Update)
@misc{ aguiar-rank,
author = "Pedro M.Q. Aguiar and Jose M.F. Moura",
title = "Rank 1 Weighted Factorization for 3D Structure Recovery: Algorithms and
Performance Analysis",
url = "citeseer.ist.psu.edu/aguiar03rank.html" }
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442 Shape and Motion from Image Streams under Orthography: A Fac.. (context) - Tomasi, Kanade - 1992
349 Hierarchical Model-Based Motion Estimation (context) - Bergen, Anandan et al. - 1992
343 Three-Dimensional Computer Vision (context) - Faugeras - 1993
333 Good Features to Track - Shi, Tomasi - 1994
126 A Paraperspective Factorization Method for Shape and Motion .. - Poelman - 1995
126 A Paraperspective Factorization Method for Shape and Motion .. - Poelman, Kanade - 1997
114 Efficient Region Tracking with Parametric Models of Geometry.. - Hager, Belhumeur - 1998
106 A Factorization Based Algorithm for Multi-Image Projective S.. - Sturm, Triggs - 1996
94 Shape and Motion from Image Streams: A Factorization Method - Tomasi - 1991
92 Direct Methods for Recovering Motion (context) - Horn, Jr - 1988
81 Optimal Motion and Structure Estimation (context) - Weng, Ahuja et al. - 1993
57 Estimating the Kinematics and Structure of a Rigid Object fr.. (context) - Broida, Chellappa - 1991
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37 Artificial Vision for Mobile Robots (context) - Ayache - 1991
29 Recovering 3D Shape and Motion from Image Streams Using Nonl.. (context) - Szeliski, Kang - 1994
27 Model-Based Brightness Constraints: On Direct Estimation of .. - Stein, Shashua - 2000
26 A Sequential Factorization Method for Recovering Shape and M.. - Morita, Kanade - 1997
21 Factorization with Uncertainty - Irani, Anandan - 2000
18 Shape and Motion without Depth (context) - Tomasi, Kanade - 1990
14 Statistical Signal Processing---Detection, Estimation, and T.. (context) - Scharf - 1991
11 A Factorization Method for Affine Structure from Line Corres.. - Quan, Kanade - 1996
4 A Unified Factorization Algorithm for Points, Line Segments .. - Morris, Kanade - 1998
4 Three-Dimensional Modeling from Two-Dimensional Video (context) - Aguiar, Moura - 2001
3 Shape from Video (context) - Brodsky, Fermuller et al. - 1999
2 Factorization as a Rank 1 Problem (context) - Aguiar, Moura - 1999
1 Rigid Structure from Video (context) - Aguiar - 2000
1 A Factorization Method for Independently Moving Objects (context) - Costeira, Kanade - 1998
Documents on the same site (http://omni.isr.ist.utl.pt/%7Eaguiar/):
Navigating in Manhattan: 3D Orientation from Video.. - Martins, Aguiar.. (Correct)
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