A buyer's guide to conic fitting
BMVC '95 Proceedings of the 6th British conference on Machine vision (Vol. 2)
A Theory of Single-Viewpoint Catadioptric Image Formation
International Journal of Computer Vision
Catadioptric Projective Geometry
International Journal of Computer Vision
Geometric Properties of Central Catadioptric Line Images
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part IV
Catadioptric Line Features Detection using Hough Transform
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 4 - Volume 04
A Fast Detector of Line Images Acquired by an Uncalibrated Paracatadioptric Camera
ICPR '06 Proceedings of the 18th International Conference on Pattern Recognition - Volume 03
Fitting conics to paracatadioptric projections of lines
Computer Vision and Image Understanding
A Generic Method of Line Matching for Central Imaging Systems under Short-Baseline Motion
ICIAP '09 Proceedings of the 15th International Conference on Image Analysis and Processing
Hypercatadioptric line images for 3D orientation and image rectification
Robotics and Autonomous Systems
A Fisher-Rao Metric for Paracatadioptric Images of Lines
International Journal of Computer Vision
Journal of Intelligent and Robotic Systems
A unified framework for line extraction in dioptric and catadioptric cameras
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part IV
Long-term mapping and localization using feature stability histograms
Robotics and Autonomous Systems
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Lines are particularly important features for different tasks such as calibration, structure from motion, 3D reconstruction in computer vision. However, line detection in catadioptric images is not trivial because the projection of a 3D line is a conic eventually degenerated. If the sensor is calibrated, it has been already demonstrated that each conic can be described by two parameters. In this way, some methods based on the adaptation of conventional line detection methods have been proposed. However, most of these methods suffer from the same disadvantages than in the perspective case (computing time, accuracy, robustness, ...). In this paper, we then propose a new method for line detection in central catadioptric image comparable to the polygonal approximation approach. With this method, only two points of a chain allows to extract with a very high accuracy a catadioptric line. Moreover, this algorithm is particularly fast and is applicable in realtime. We also present experimental results with some quantitative and qualitative evaluations in order to show the quality of the results and the perspectives of this method.