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Ming Zhao, ChiKit Ronald Chung, "Rank Classification of Linear Line Structures from Images by Trifocal Tensor Determinability," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 32, no. 7, pp. 11971210, July, 2010.  
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@article{ 10.1109/TPAMI.2009.103, author = {Ming Zhao and ChiKit Ronald Chung}, title = {Rank Classification of Linear Line Structures from Images by Trifocal Tensor Determinability}, journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence}, volume = {32}, number = {7}, issn = {01628828}, year = {2010}, pages = {11971210}, doi = {http://doi.ieeecomputersociety.org/10.1109/TPAMI.2009.103}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Pattern Analysis and Machine Intelligence TI  Rank Classification of Linear Line Structures from Images by Trifocal Tensor Determinability IS  7 SN  01628828 SP1197 EP1210 EPD  11971210 A1  Ming Zhao, A1  ChiKit Ronald Chung, PY  2010 KW  Line structure KW  critical configurations KW  trifocal tensor. VL  32 JA  IEEE Transactions on Pattern Analysis and Machine Intelligence ER   
[1] R.I. Hartley, "Lines and Points in Three Views and the Trifocal Tensor," Int'l J. Computer Vision, vol. 22, no. 2, pp. 125140, 1997.
[2] A. Shashua and M. Werman, "On the Trilinear Tensor of Three Perspective Views and Its Underlying Geometry," Proc. Int'l Conf. Computer Vision, 1995.
[3] T. Papadopoulo and O.D. Faugeras, "A New Characterization of the Trifocal Tensor," Proc. Fifth European Conf. Computer Vision, vol. 1, pp. 109123, 1998.
[4] M. Leung, Y. Liu, and T. Huang, "Estimating 3D Vehicle Motion in an Outdoor Scene from Monocular and Stereo Image Sequences," Proc. IEEE Workshop Visual Motion, pp. 6268, Oct. 1991.
[5] Y. Liu, "Rigid Object Motion Estimation from Intensity Images Using Straight Line Correspondences," PhD dissertation, Univ. of Illinois at UrbanaChampaign, 1990.
[6] N. Navab and O. Faugeras, "Monocular Pose Determination from Lines: Critical Sets and Maximum Number of Solutions," Proc. IEEE CS Conf. Computer Vision and Pattern Recognition, pp. 254260, 1993.
[7] O. Faugeras and B. Mourrain, "On the Geometry and Algebra of the Point and Line Correspondences between n Images," Proc. Fifth Int'l Conf. Computer Vision, p. 951, 1995.
[8] R.I. Hartley and A. Zisserman, Multiple View Geometry in Computer Vision, second ed. Cambridge Univ. Press, 2004.
[9] R. Hartley and F. Kahl, "Critical Configurations for Projective Reconstruction from Multiple Views," Int'l J. Computer Vision, vol. 71, no. 1, pp. 547, 2007.
[10] A. Shashua and S. Maybank, "Degenerate n Point Configurations of Three Views: Do Critical Surfaces Exist," technical report, Hebrew Univ. of Jerusalem, 1996.
[11] R.I. Hartley, "Ambiguous Configurations for 3View Projective Reconstruction," Proc. Sixth European Conf. Computer Vision, pp. 922935, 2000.
[12] F. Kahl, R. Hartley, and K. Astrom, "Critical Configurations for NView Projective Reconstruction," Proc. IEEE CS Conf. Computer Vision and Pattern Recognition, vol. 2, pp. 158163, 2001.
[13] R. Hartley and F. Kahl, "A Critical Configuration for Reconstruction from Rectilinear Motion," Proc. IEEE CS Conf. Computer Vision and Pattern Recognition, vol. 1, p. 511, 2003.
[14] J. Weng, T. Huang, and N. Ahuja, "Motion and Structure from Line Correspondences: ClosedForm Solution, Uniqueness, and Optimization," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 14, no. 3, pp. 318336, Mar. 1992.
[15] A. Bartoli and P. Sturm, "The 3D Line Motion Matrix and Alignment of Line Reconstructions," Int'l J. Computer Vision, vol. 57, no. 3, pp. 159178, May 2004.
[16] A. Bartoli, R.I. Hartley, and F. Kahl, "Motion from 3D Line Correspondences: Linear and NonLinear Solutions," Proc. IEEE CS Conf. Computer Vision and Pattern Recognition, vol. 1, p. 477, 2003.
[17] A. Bartoli and P. Sturm, "StructurefromMotion Using Lines: Representation, Triangulation, and Bundle Adjustment," Computer Vision and Image Understanding, vol. 100, no. 3, pp. 416441, 2005.
[18] T. Buchanan, "Critical Sets for 3D Reconstruction Using Lines," Proc. Second European Conf. Computer Vision, pp. 730738, 1992.
[19] T. Buchanan, "On the Critical Set for Photogrammetric Reconstruction Using Line Tokens in p3(c)," Geometriae Dedicata, vol. 44, pp. 223232, 1992.
[20] Y. Liu and T. Huang, "A Linear Algorithm for Motion Estimation Using Straight Line Correspondences," Proc. Ninth Int'l Conf. Pattern Recognition, vol. I, pp. 213219, 1988.
[21] S.J. Maybank, "The Critical Line Congruence for Reconstruction from Three Images," Applicable Algebra in Eng., Comm., and Computing, vol. 6, pp. 89113, 1993.
[22] N. Navab and O. Faugeras, "The Critical Sets of Lines for Camera Displacement Estimation: A Mixed EuclideanProjective and Constructive Approach," Int'l J. Computer Vision, vol. 23, pp. 1744, 1997.
[23] G.P. Stein and A. Shashua, "On Degeneracy of Linear Reconstruction from Three Views: Linear Line Complex and Applications," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 21, no. 3, pp. 244251, Mar. 1999.
[24] H. Pottmann and J. Wallner, Computational Line Geometry. Springer, 2001.
[25] J. Semple and G. Kneebone, Algebraic Projective Geometry. Oxford Clarendon Press/Oxford Univ. Press, 1952.
[26] G. Strang, Introduction to Linear Algebra, third ed. Wellesley Cambridge Press, Mar. 2003.