Reconstructing a 3D line from a single catadioptric image

Proceedings - Third International Symposium on 3D Data Processing, Visualization, and Transmission, 3DPVT 2006

Volumn , Issue , 2006, Pages 89-96

  Lanman, Douglas ^a   Wachs, Megan ^b   Taubin, Gabriel ^a   Cukierman, Fernando ^c  

^a BROWN UNIVERSITY   (United States)

^b STANFORD UNIVERSITY   (United States)

^c UNIVERSIDAD DE BUENOS AIRES   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

DATA HANDLING; DATA VISUALIZATION; SINGULAR VALUE DECOMPOSITION; THREE DIMENSIONAL COMPUTER GRAPHICS; VISUALIZATION;

CATADIOPTRIC CAMERAS; ENUMERATIVE GEOMETRIES; FOUR-POINT; IMAGE POINTS; NUMERICAL ERRORS; RECONSTRUCTION ALGORITHMS; SIMPLE ALGORITHM; SINGLE IMAGES;

IMAGE RECONSTRUCTION;

EID: 47249112217     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/3DPVT.2006.115     Document Type: Conference Paper

References (23)

1. J. P. Barreto and H. Ara-jo. Geometric Properties of Central Catadioptric Line Images. In Procedings of the 7th European Conference on Computer Vision, May 2002.
2. J.-Y. Bouguet. Camera Calibration Toolbox for Matlab. http://www.vision.caltech.edu/bouguetj.
3. V. Caglioti and S. Gasparini. Localization of 3D lines from single images using off-axis catadioptric cameras. In OM-NIVIS, Bejing, China, Oct. 2005.
4. B. Chazelle, H. Edelsbrunner, L. Guibas, and M. Sharir. Lines in space-combinators, algorithms and applications. In Proceedings of the 21st Annual ACM Symposium on Theory of Computing, pages 382-393, Seattle, Washington, 1989.
5. F. Cukierman. Introducción al Cálculo de Schubert. Course Notes in Primer Encuentro Nacional de Algebra, Vaquerías, Cordoba, Argentina, Dec. 2003.
6. C. Geyer and K. Daniilidis. Catadioptric Camera Calibration. In Proceedings 7th International Conference on Computer Vision, pages 398-404, 1999.
7. C. Geyer and K. Daniilidis. Catadioptric projective geometry. International Journal of Computer Vision, 45(3):223-243, 2001.
8. C. Geyer and K. Daniilidis. Properties of the Catadoptric Fundamental Matrix. In Proceedings of the 7th European Conference on Computer Vision, Copenhagen, Denmark, 2002.
9. M. Grossberg and S. Nayar. A General Imaging Model And A Method For Finding Its Parameters. In ICCV, 2001.
10. R. A. Hicks and R. Perline. The Fixed Surface Method for Catadioptric Sensor Design. Technical report, Drexel University Department of Mathematics, 2004.
11. S. Kang. Catadioptric Self-Calibration. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pages 201-207, June 2000.
12. S. L. Kleiman and D. Laksov. Schubert Calculus. American Mathematical Monthly, 79:1061-1082, Dec. 1972.
13. D. Lanman, D. Crispell, M. Wachs, and G. Taubin. Spherical catadioptric arrays: Construction, multi-view geometry, and calibration. In Third International Symposium on 3D Data Processing, Visualization and Transmission, 2006.
14. S. Nayar. Sphereo: Determining Depth using Two Specular Spheres and a Single Camera. In Proceedings of SPIE Conference on Optics, Illumination, and Image Sensing for Machine Vision III, pages 245-254, Nov. 1988.
15. S. Nayar. Sphereo: Determining Depth using Two Specular Spheres and a Single Camera. In Proceedings of SPIE Conference on Optics, Illumination, and Image Sensing for Machine Vision III, pages 245-254, Nov. 1988.
16. S. Nene and S. Nayar. Stereo Using Mirrors. In Proceedings of the International Conference on Computer Vision (ICCV'98), Bombay, India, 1998.
17. H. Schubert. Kalkül der Abzählenden Geometrie. Teubner, Leipzig, 1874.
18. J. Stolfi. Primitives for Computational Geometry. PhD thesis, Computer Science Department, Stanford University, 1988.
19. J. Stolfi. Oriented Projective Geometry. Academic Press, San Diego, 1991.
20. P. Sturm. Multi-View Geometry for General Camera Models. In CVPR, 2005.
21. R. Swaminiathan, M. Grossbery, and S. Nayar. Caustics of Catadioptric Cameras. In Proceedings of the 8th International Conference on Computer Vision, July 2001.
22. S. Teller and M. Hohmeyer. Determining the Lines through Four Lines. Journal of Graphics Tools, 4(3): 11-22, 1999.
23. X. Ying and Z. Hu. Catadioptric Camera Calibration Using Geometric Invariants. IEEE Transactions On Pattern Analysis and Machine Intelligence, 26(10), Oct. 2004.