Oriented projective geometry
Multiple view geometry in computer visiond
Multiple view geometry in computer visiond
Epipolar Geometry for Central Catadioptric Cameras
International Journal of Computer Vision
Mixing Catadioptric and Perspective Cameras
OMNIVIS '02 Proceedings of the Third Workshop on Omnidirectional Vision
A Theory of Catadioptric Image Formation
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
On the Epipolar Geometry of the Crossed-Slits Projection
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Paracatadioptric Camera Calibration Using Lines
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Mirrors in motion: Epipolar geometry and motion estimation
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
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
Generalized principal component analysis (GPCA)
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Autonomous navigation of vehicles from a visual memory using a generic camera model
IEEE Transactions on Intelligent Transportation Systems
Efficient generic calibration method for general cameras with single centre of projection
Computer Vision and Image Understanding
Self-location from monocular uncalibrated vision using reference omniviews
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
Proposition and comparison of catadioptric homography estimation methods
PSIVT'07 Proceedings of the 2nd Pacific Rim conference on Advances in image and video technology
Omnidirectional image processing using geodesic metric
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
A method for calibrating the parabolic camera using homographic matrix
ROBIO'09 Proceedings of the 2009 international conference on Robotics and biomimetics
Camera Models and Fundamental Concepts Used in Geometric Computer Vision
Foundations and Trends® in Computer Graphics and Vision
Generic Self-calibration of Central Cameras from Two Rotational Flows
International Journal of Computer Vision
Calibration of Central Catadioptric Cameras Using a DLT-Like Approach
International Journal of Computer Vision
Central catadioptric image processing with geodesic metric
Image and Vision Computing
Tracking feature points in uncalibrated images with radial distortion
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part IV
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In this paper, we study projection systems with a single effective viewpoint, including combinations of mirrors and lenses (catadioptric) as well as just lenses with or without radial distortion (dioptric systems). First, we extend a well-known unifying model for central catadioptric systems to incorporate a class of dioptric systems with radial distortion. Second, we provide a new representation for the image plane of central systems. This representation is the lifting through a Veronese map of the original image plane to the 5D projective space. We study how a collineation in the original image plane can be transferred to a collineation in the lifted space, and we prove that in the case of central parabolic systems and cameras with lens distortion the locus of the lifted points representing projections of world lines is a plane. The similarities between paracatadioptric systems and lens with radial distortion are emphasized by extending to the latter algorithms initially established for the former.