Reconstruction from projections using grassmann tensors

International Journal of Computer Vision

Volumn 83, Issue 3, 2009, Pages 274-293

  Hartley, Richard I ^a   Schaffalitzky, Frederik ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

Exterior algebra; Grassman tensor; Multiview tensor; Projective reconstruction

Indexed keywords

ALGEBRA; COMPUTER VISION; DYNAMIC ANALYSIS; RESTORATION;

DIMENSIONAL SPACES; DYNAMIC SCENE ANALYSIS; DYNAMIC SCENES; EXTERIOR ALGEBRA; FEATURE POINTS; GRASSMAN TENSOR; MULTIVIEW TENSOR; ONE-DIMENSIONAL IMAGES; PROJECTIVE RECONSTRUCTION; PROJECTIVE SPACES; RADIAL DISTORTIONS; RECONSTRUCTION FROM PROJECTIONS;

TENSORS;

EID: 63049086989     PISSN: 09205691     EISSN: 15731405     Source Type: Journal    
DOI: 10.1007/s11263-009-0225-1     Document Type: Article

References (14)

1. O. D. Faugeras L. Quan P. Sturm 2000 Self-calibration of a 1D projective camera and its application to the self-calibration of a 2D projective camera IEEE Transactions on Pattern Analysis and Machine Intelligence 22 10 1179 1185
2. R. I. Hartley 1997 In defense of the eight-point algorithm IEEE Transactions on Pattern Analysis and Machine Intelligence 19 6 580 593
3. Hartley, R. I. (1998a). Computation of the quadrifocal tensor. In Lecture notes in computer science : Vol. 1406. Proceedings of the 5th European conference on computer vision (pp. 20-35). Freiburg, Germany. Berlin: Springer.
4. R. I. Hartley 1998 Minimizing algebraic error Philosophical Transactions of the Royal Society of London, Series A 356 1740 1175 1192
5. Hartley, R., & Vidal, R. (2008). Perspective nonrigid shape and motion recovery. In Proceedings of the European conference on computer Vision (pp. 276-289).
6. Hartley, R. I., & Zisserman, A. (2004). Multiple view geometry in computer vision (2nd ed.). Cambridge: Cambridge University Press.
7. Heyden, A. (1998a). A common framework for multiple-view tensors. In Proceedings of the 5th European conference on computer vision (pp. 3-19). Freiburg, Germany.
8. A. Heyden 1998 Reduced multilinear constraints: Theory and experiments International Journal of Computer Vision 30 1 5 26
9. L. Quan 2001 Two-way ambiguity in 2d projective reconstruction from three uncalibrated 1d images IEEE Transactions on Pattern Analysis and Machine Intelligence 23 2 212 216
10. L. Quan T. Kanade 1997 Affine structure from line correspondences with uncalibrated affine cameras IEEE Transactions on Pattern Analysis and Machine Intelligence 19 8 834 845
11. Semple, J. G., & Kneebone, G. T. (1979). Algebraic projective geometry. Oxford: Oxford University Press.
12. Thirthala, S., & Pollefeys, M. (2005a). Multi-view geometry of 1d radial cameras and its application to omnidirectional camera calibration. In Proceedings of the 10th international conference on computer vision (pp. 1539-1546). Beijing, China.
13. Thirthala, S., & Pollefeys, M. (2005b). The radial trifocal tensor: A tool for calibrating the radial distortion of wide-angle cameras. In Proceedings of the IEEE conference on computer vision and pattern recognition (Vol. 1, pp. 321-328) San Diego.
14. 2,k=3,...,6, and their applications in computer vision International Journal of Computer Vision 48 1 53 67