PnP problem revisited

Journal of Mathematical Imaging and Vision

Volumn 24, Issue 1, 2006, Pages 131-141

  Wu, Yihong ^a  

^a INSTITUTE OF AUTOMATION   (China)

Author keywords

Depth ratio based equation; Distance based definition; Perspective n point camera pose determination; Transformation based definition; Upper bound of the number of solutions

Indexed keywords

ALGEBRA; CAMERAS; GEOMETRY; MATHEMATICAL TRANSFORMATIONS; OPTICS; PARAMETER ESTIMATION; PROBLEM SOLVING;

DEPTH-RATIO BASED EQUATION; DISTANCE-BASED DEFINITION; PERSPECTIVE-N-POINT CAMERA POSE DETERMINATION; TRANSFORMATION-BASED DEFINITION; UPPER BOUND OF THE NUMBER OF SOLUTIONS;

IMAGE PROCESSING;

EID: 33144476674     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10851-005-3617-z     Document Type: Article

References (15)

1. M. A. Abidi and T. Chandra, "A new efficient and direct solution for pose estimation using quadrangular targets: Algorithm and evaluation," IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 17, No. 5, pp. 534-538, 1995.
2. A. Ansar and K. Daniilidis, "Linear pose estimation from points or lines," IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 25, No. 5, pp. 578-589, 2003.
3. D. Dementhon and L.S. Davis, "Exact and approximate solutions of the perspective-three-point problem," IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 14, No. 11, pp. 1100-1105, 1992.
4. M.A. Fischler and R.C. Bolles, "Random sample consensus: A paradigm for model fitting with applications to image analysis and automated cartography," Communications of the ACM, Vol. 24, No. 6, pp. 381-395, 1981.
5. P.D. Fiore, "Efficient linear solution of exterior orientation," IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 23, No. 2, pp. 140-148, 2001.
6. X.S. Gao, X.R. Hou, J.L. Tang and H.F. Cheng, "Complete solution classification for the perspective-three-point problem," IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 25, No. 8, pp. 930-943, 2003.
7. J.A. Grunert, "Das pothenotische problem in erweiterter gestalt nebst bber seine anwendungen in der geodäsie," Grunerts Archiv für Mathematik und Physik Band 1, pp. 238-248, 1841.
8. R.M. Haralick, C. Lee, K. Ottenberg and M. Nölle, "Analysis and solutions of the three point perspective pose estimation problem," in Proc. IEEE Conf. Computer Vision and Pattern Recognition, 1991, pp. 592-598.
9. R. Hartley and A. Zisserman, Multiple View Geometry in Computer Vision, Cambridge University Press, 2000.
10. R. Horaud, B. Conio, and O. Leboulleux, "An analytic solution for the perspective 4-point problem," Computer Vision, Graphics, Image Processing, Vol. 47, No. 1, pp. 33-44, 1989.
11. Z. Y. Hu and F.C. Wu, "A note on the number of solutions of the non-coplanar P4P problem," IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 24, No. 4, pp. 550-555, 2002.
12. L. Quan and Z.D. Lan, "Linear n-point camera pose determination," IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 21, No. 8, pp. 774-780, 1999.
13. C. Su, Y.Q. Xu, H. Li, and S.Q. Liu, "Necessary and sufficient condition of positive root number of perspective-three-point problem," Chinese Journal of Computers (in Chinese), Vol. 21, No. 12, pp. 1084-1095, 1998.
14. W.J. Wolfe, D. Mathis, C.W. Sklair and M. Magee, "The perspective view of three points," IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 13, No. 1, pp. 66-73, 1991.
15. Y.H. Wu and Z.Y. Hu, "PnP problem revisited," Technical Report, RV-NLPR, Institute of Automation, Chinese Academy of Sciences, 2003.