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

Volume

27

Issue

4

fYear

2005

fDate

4/1/2005 12:00:00 AM

Firstpage

637

Lastpage

642

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;

fLanguage

English

Journal_Title

Pattern Analysis and Machine Intelligence, IEEE Transactions on

Publisher

ieee

ISSN

0162-8828

Type

jour

DOI

10.1109/TPAMI.2005.80

Filename

1401916