Randomized Hough transform (RHT): basic mechanisms, algorithms, and computational complexities
CVGIP: Image Understanding
A Theory of Single-Viewpoint Catadioptric Image Formation
International Journal of Computer Vision
Exploring Analytical Geometry with Mathematica with Cdrom
Exploring Analytical Geometry with Mathematica with Cdrom
Catadioptric Projective Geometry
International Journal of Computer Vision
Catadioptric Camera Calibration Using Geometric Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric Properties of Central Catadioptric Line Images and Their Application in Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
A new linear algorithm for calibrating central catadioptric cameras
Pattern Recognition
Fitting conics to paracatadioptric projections of lines
Computer Vision and Image Understanding
A Fisher-Rao Metric for Paracatadioptric Images of Lines
International Journal of Computer Vision
Guaranteed ellipse fitting with the sampson distance
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part V
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In this paper, a simple method for ellipse detection is proposed and applied in central catadioptric camera calibration. It consists of two phases. Firstly it locates ellipse center candidates using center symmetry of ellipses, and the detected edge points are grouped into several subsets according to the center candidates. Then all the ellipses are fitted by performing RANSAC for each subset. We also present an approach for calibrating a central catadioptric camera based on the bounding ellipse of the catadioptric image. Using the proposed ellipse detection method, we can easily detect the bounding ellipse. As a result, a simple self-calibration can be realized, which can be used in some applications where high accuracy of the calibration is not required. Experiments show the proposed method is effective.