The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Metric rectification for perspective images of planes
Abstract
We describe the geometry constraints and algorithmic implementation for metric rectification of planes. The rectification allows metric properties, such as angles and length ratios, to be measured on the world plane from a perspective image. The novel contributions are: first, that in a stratified context the various forms of providing metric information, which include a known angle, two equal though unknown angles, and a known length ratio; can all be represented as circular constraints on the parameters of an affine transformation of the plane-this provides a simple and uniform framework for integrating constraints; second, direct rectification from right angles in the plane; third, it is shown that metric rectification enables calibration of the internal camera parameters; fourth, vanishing points are estimated using a Maximum Likelihood estimator; fifth, an algorithm for automatic rectification. Examples are given for a number of images, and applications demonstrated for texture map acquisition and metric measurements.
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Cites
Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (1994) · Cited by 15,411
Camera self-calibration: Theory and experiments
Faugeras, O. D., Luong, Q. T., & Maybank, S. J. (1992) · Lecture Notes in Computer Science · doi:10.1007/3-540-55426-2_37 · Cited by 946
Koenderink, J. J., & van Doorn, A. J. (1991) · Journal of the Optical Society of America A · doi:10.1364/josaa.8.000377 · Cited by 871
Slama, C. C., Theurer, C. B., & Henriksen, S. W. (1980) · American Society of Photogrammetry eBooks · Cited by 856
Using vanishing points for camera calibration
Caprile, B., & Torre, V. (1990) · International Journal of Computer Vision · doi:10.1007/bf00127813 · Cited by 711
Algebraic Projective Geometry.
Atchison, W. F., Semple, J. G., & Kneebone, G. T. (1953) · The American Mathematical Monthly · doi:10.2307/2307420 · Cited by 704
Statistical Optimization for Geometric Computation: Theory and Practice
(1996) · Machine Intelligence and Pattern Recognition · doi:10.1016/s0923-0459(96)x8019-4 · Cited by 483
Image mosaicing for tele-reality applications
Szeliski, R. (2002) · Proceedings of 1994 IEEE Workshop on Applications of Computer Vision · doi:10.1109/acv.1994.341287 · Cited by 369
Autocalibration from planar scenes
Triggs, B. (1998) · Lecture Notes in Computer Science · doi:10.1007/bfb0055661 · Cited by 356
Stratification of three-dimensional vision: projective, affine, and metric representations
Faugeras, O. D. (1995) · Journal of the Optical Society of America A · doi:10.1364/josaa.12.000465 · Cited by 305
Cited by
A flexible new technique for camera calibration
Zhang, Z. (2000) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.888718 · Cited by 15,004
Flexible camera calibration by viewing a plane from unknown orientations
Zhang, Z. (1999) · Proceedings of the Seventh IEEE International Conference on Computer Vision · doi:10.1109/iccv.1999.791289 · Cited by 2,610
A Unifying Theory for Central Panoramic Systems and Practical Implications
Geyer, C., & Daniilidis, K. (2000) · Lecture Notes in Computer Science · doi:10.1007/3-540-45053-x_29 · Cited by 502
A new approach to vanishing point detection in architectural environments
Rother, C. (2002) · Image and Vision Computing · doi:10.1016/s0262-8856(02)00054-9 · Cited by 255
Metadata
- Authors
- Liebowitz, D., & Zisserman, A.
- Venue
- Proceedings. 1998 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No.98CB36231)
- Publisher
- IEEE Comput. Soc
- Published
- 2002-11-27
- Pages
- 482-488
- ISSN
- 1063-6919 (ISSN-L)
- OpenAlex
- W2118002377
- Cited by
- 340
- References
- 12
- FWCI
- 14.48
- Type
- conference paper
- Language
- en
- Open access
- closed
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