Robust 3D reconstruction with outliers using RANSAC based singular value decomposition

IEICE Transactions on Information and Systems

Volumn E88-D, Issue 8, 2005, Pages 2001-2004

  Li, Xi ^a   Ning, Zhengnan ^a   Xiang, Liuwei ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Linear regression; Outlier; RANSAC; Structure from motion; SVD

Indexed keywords

CALCULATIONS; CAMERAS; IMAGE RECONSTRUCTION; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS);

LINEAR REGRESSION; OUTLIER; RANSAC; STRUCTURE FROM MOTION; SVD;

THREE DIMENSIONAL;

EID: 26044434409     PISSN: 09168532     EISSN: 17451361     Source Type: Journal    
DOI: 10.1093/ietisy/e88-d.8.2001     Document Type: Article

References (9)

1. O. Faugeras, Three Dimensional Computer Vision: A Geometric Viewpoint, MIT Press, Cambridge, MA, 1993.
2. C. Tomasi and T. Kanade, "Shape and motion from image streams under orthography: A factorization method," Int. J. Comput. Vis., vol.9, no.2, pp.137-154, 1992.
3. E.W. Weisstein, "Singular value decomposition," from MathWorld-A Wolfram Web Resource, http://mathworld.wolfram.com/ SingularValueDecomposition.html
4. J.P. Costeria and T. Kanade, "A multibody factorization method for independently moving objects," Int. J. Comput. Vis., vol.29, no.3, pp.159-178, 1998.
5. M.A. Fischler and R.C. Bolles, "Random sample consensus: A paradigm for model fitting with applications to image analysis and automated cartography," Commun. ACM, vol.24, no.6, pp.381-395, 1981.
6. G.H. Golub and C.F. Van Loan, Matrix Computations, 3rd ed., Johns Hopkins University Press, Baltimore, MD, 1996.
7. D.C. Montgomery, E.A. Peck, and G.G. Vining, Introduction to Linear Regression Analysis, 3rd ed., Wiley, New York, 2001.
8. P.J. Huber, Robust Statistics, John Wiley & Sons, New York, 1984.
9. S. Chatterjee and M. Machler, "Robust regression: A weighted least squares approach," Commun. Stat. - Theory Methods, vol.26, pp.1381-1394, 1997.