Title :
Geometric and algebraic constraints of projected concentric circles and their applications to camera calibration
Author :
Kim, Jun-Sik ; Gurdjos, Pierre ; Kweon, In-So
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., KAIST, Daejeon, South Korea
fDate :
4/1/2005 12:00:00 AM
Abstract :
We investigate the projective properties of the feature consisting of two concentric circles. We demonstrate there exist geometric and algebraic constraints on its projection. We show how these constraints greatly simplify the recoveries of the affine and Euclidean structures of a 3D plane. As an application, we assess the performances of two camera calibration algorithms.
Keywords :
algebra; calibration; cameras; computer vision; geometry; Euclidean structures; algebraic constraints; camera calibration algorithm; geometric constraints; imaging geometry; projected concentric circles; projective plane; Application software; Calibration; Cameras; Closed-form solution; Computer vision; Geometry; H infinity control; Image reconstruction; Layout; Robustness; Index Terms- Imaging geometry; camera calibration.; circular points; concentric circles; projective plane; Algorithms; Artificial Intelligence; Calibration; Image Enhancement; Image Interpretation, Computer-Assisted; Imaging, Three-Dimensional; Information Storage and Retrieval; Numerical Analysis, Computer-Assisted; Pattern Recognition, Automated; Photography; Signal Processing, Computer-Assisted; Subtraction Technique;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
DOI :
10.1109/TPAMI.2005.80
