Four-point-algorithm for the recovery of the pose of a one-dimensional camera with unknown focal length

• Published in: IET computer vision Vol. 6; no. 4; pp. 314 - 323
• Main Authors: Penne, R., Veraart, J., Abbeloos, W., Mertens, L.
• Format: Journal Article
• Language: English
• Published: Stevenage Institution of Engineering and Technology 01.07.2012; John Wiley & Sons, Inc
• Subjects: Algebra; Algorithms; Applied sciences; Cameras; Computer vision; Conics; Electronics; Exact sciences and technology; Imaging devices; Information, signal and communications theory; Landmarks; Quadratic equations; Recovering; Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices; Signal and communications theory; Signal representation. Spectral analysis; Signal, noise; Telecommunications and information theory; Image analysis; Triangulation; Multipoint method; One dimensional model; Position measurement; Camera; Calibration; Algorithm; Quadratic equation
• ISSN: 1751-9632; 1751-9640
• DOI: 10.1049/iet-cvi.2010.0192

The authors give an algorithm for recovering the centre and view direction of a one-dimensional camera with known principal point but unknown focal distance, by means of one view with four recognised landmarks. The involved algebra is reduced, to solved a quadratic equation. This 4-point-method appears to be more robust than the existing 5-point-algorithm for locating a totally uncalibrated camera by means of chasles conics. On the other hand, the authors' method can offer an alternative for the triangulation method if the value of the focal length is unknown or unreliable (e.g. because of autozoom).