Details
| Original language | English |
|---|---|
| Pages (from-to) | 169-186 |
| Number of pages | 18 |
| Journal | Pattern Recognition |
| Volume | 35 |
| Issue number | 1 |
| Publication status | Published - 17 Oct 2001 |
| Externally published | Yes |
Abstract
The authors of this paper adopted the projected characteristics of the absolute conic in terms of the Pascal's theorem to propose an entirely new camera calibration method based on purely geometric thoughts. The use of this theorem in the geometric algebra framework allows us to compute a projective invariant using the conics of only two images which expressed using brackets helps us to set enough equations to solve the calibration problem. The method requires restricted controlled camera movements. Our method is less sensitive to noise as the Kruppa's-equation-based methods. Experiments with simulated and real images confirm that the performance of the algorithm is reliable.
Keywords
- Calibration, Clifford algebra, Computer vision, Essential and fundamental matrices, Geometric algebra, Kruppa's equations, Projective geometry
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Computer Science(all)
- Signal Processing
- Computer Science(all)
- Computer Vision and Pattern Recognition
- Computer Science(all)
- Artificial Intelligence
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In: Pattern Recognition, Vol. 35, No. 1, 17.10.2001, p. 169-186.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A geometric approach for the analysis and computation of the intrinsic camera parameters
AU - Bayro-Corrochano, Eduardo
AU - Rosenhahn, Bodo
N1 - Funding information: Eduardo Bayro Corrochano was supported by the Project SO-201 of the Deutsche Forschungsgemeinschaft.
PY - 2001/10/17
Y1 - 2001/10/17
N2 - The authors of this paper adopted the projected characteristics of the absolute conic in terms of the Pascal's theorem to propose an entirely new camera calibration method based on purely geometric thoughts. The use of this theorem in the geometric algebra framework allows us to compute a projective invariant using the conics of only two images which expressed using brackets helps us to set enough equations to solve the calibration problem. The method requires restricted controlled camera movements. Our method is less sensitive to noise as the Kruppa's-equation-based methods. Experiments with simulated and real images confirm that the performance of the algorithm is reliable.
AB - The authors of this paper adopted the projected characteristics of the absolute conic in terms of the Pascal's theorem to propose an entirely new camera calibration method based on purely geometric thoughts. The use of this theorem in the geometric algebra framework allows us to compute a projective invariant using the conics of only two images which expressed using brackets helps us to set enough equations to solve the calibration problem. The method requires restricted controlled camera movements. Our method is less sensitive to noise as the Kruppa's-equation-based methods. Experiments with simulated and real images confirm that the performance of the algorithm is reliable.
KW - Calibration
KW - Clifford algebra
KW - Computer vision
KW - Essential and fundamental matrices
KW - Geometric algebra
KW - Kruppa's equations
KW - Projective geometry
UR - http://www.scopus.com/inward/record.url?scp=0036132130&partnerID=8YFLogxK
U2 - 10.1016/S0031-3203(00)00182-5
DO - 10.1016/S0031-3203(00)00182-5
M3 - Article
AN - SCOPUS:0036132130
VL - 35
SP - 169
EP - 186
JO - Pattern Recognition
JF - Pattern Recognition
SN - 0031-3203
IS - 1
ER -