Abstract
For self-calibration of general radially symmetric distortion (RSD) of omnidirectional cameras such as fish-eye lenses, calibration parameters are usually estimated so that curved lines, which are supposed to be straight in the real-world, are mapped to straight lines in the calibrated image, which is assumed to be taken by an ideal pin-hole camera. In this paper, a method of calibrating RSD is introduced base on the notion of principal component analysis (PCA). In the proposed method, the distortion function, which maps a distorted image to an ideal pin-hole camera image, is assumed to be a linear combination of a certain class of basis functions, and an algorithm for solving its coefficients by using line patterns is given. Then a method of selecting good basis functions is proposed, which aims to realize appropriate calibration in practice. Experimental results for synthetic data and real images are presented to demonstrate the performance of our calibration method.
| Original language | English |
|---|---|
| Title of host publication | Proceedings - International Conference on Pattern Recognition |
| Pages | 1812-1815 |
| Number of pages | 4 |
| DOIs | |
| Publication status | Published - 2010 |
| Event | 2010 20th International Conference on Pattern Recognition, ICPR 2010 - Istanbul Duration: 2010 Aug 23 → 2010 Aug 26 |
Other
| Other | 2010 20th International Conference on Pattern Recognition, ICPR 2010 |
|---|---|
| City | Istanbul |
| Period | 10/8/23 → 10/8/26 |
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ASJC Scopus subject areas
- Computer Vision and Pattern Recognition
Cite this
Self-calibration of radially symmetric distortion by model selection. / Fujiki, Jun; Hino, Hideitsu; Usami, Yumi; Akaho, Shotaro; Murata, Noboru.
Proceedings - International Conference on Pattern Recognition. 2010. p. 1812-1815 5597210.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Self-calibration of radially symmetric distortion by model selection
AU - Fujiki, Jun
AU - Hino, Hideitsu
AU - Usami, Yumi
AU - Akaho, Shotaro
AU - Murata, Noboru
PY - 2010
Y1 - 2010
N2 - For self-calibration of general radially symmetric distortion (RSD) of omnidirectional cameras such as fish-eye lenses, calibration parameters are usually estimated so that curved lines, which are supposed to be straight in the real-world, are mapped to straight lines in the calibrated image, which is assumed to be taken by an ideal pin-hole camera. In this paper, a method of calibrating RSD is introduced base on the notion of principal component analysis (PCA). In the proposed method, the distortion function, which maps a distorted image to an ideal pin-hole camera image, is assumed to be a linear combination of a certain class of basis functions, and an algorithm for solving its coefficients by using line patterns is given. Then a method of selecting good basis functions is proposed, which aims to realize appropriate calibration in practice. Experimental results for synthetic data and real images are presented to demonstrate the performance of our calibration method.
AB - For self-calibration of general radially symmetric distortion (RSD) of omnidirectional cameras such as fish-eye lenses, calibration parameters are usually estimated so that curved lines, which are supposed to be straight in the real-world, are mapped to straight lines in the calibrated image, which is assumed to be taken by an ideal pin-hole camera. In this paper, a method of calibrating RSD is introduced base on the notion of principal component analysis (PCA). In the proposed method, the distortion function, which maps a distorted image to an ideal pin-hole camera image, is assumed to be a linear combination of a certain class of basis functions, and an algorithm for solving its coefficients by using line patterns is given. Then a method of selecting good basis functions is proposed, which aims to realize appropriate calibration in practice. Experimental results for synthetic data and real images are presented to demonstrate the performance of our calibration method.
UR - http://www.scopus.com/inward/record.url?scp=78149486213&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78149486213&partnerID=8YFLogxK
U2 - 10.1109/ICPR.2010.447
DO - 10.1109/ICPR.2010.447
M3 - Conference contribution
AN - SCOPUS:78149486213
SN - 9780769541099
SP - 1812
EP - 1815
BT - Proceedings - International Conference on Pattern Recognition
ER -