Geometric Properties of Central Catadioptric Line Images and Their Application in Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
A unifying geometric representation for central projection systems
Computer Vision and Image Understanding - Special issue on omnidirectional vision and camera networks
Catadioptric Camera Calibration by Polarization Imaging
IbPRIA '07 Proceedings of the 3rd Iberian conference on Pattern Recognition and Image Analysis, Part II
Generic self-calibration of central cameras
Computer Vision and Image Understanding
Contour matching in omnidirectional images
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part I
Camera Models and Fundamental Concepts Used in Geometric Computer Vision
Foundations and Trends® in Computer Graphics and Vision
Line Localization from Single Catadioptric Images
International Journal of Computer Vision
Applications of conformal geometric algebra in computer vision and graphics
IWMM'04/GIAE'04 Proceedings of the 6th international conference on Computer Algebra and Geometric Algebra with Applications
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Paracatadioptric sensors combine a parabolic shaped mirrorand a camera inducing an orthographic projection.Such a configuration provides a wide field of view whilekeeping a single effective viewpoint. Previous work in centralcatadioptric sensors proved that a line projects into aconic curve and that three line images are enough to calibratethe system. However the estimation of the coniccurves where lines are mapped is hard to accomplish. Ingeneral only a small arc of the conic is visible in the imageand conventional conic fitting techniques are unable to correctlyestimate the curve. The present work shows that a setof conic curves corresponds to paracatadioptric line imagesif, and only if, certain properties are verified. These propertiesare used to constraint the search space and correctlyestimate the curves. The accurate estimation of a minimumof three line images allows the complete calibration of theparacatadioptric camera. If the camera is skewless and theaspect ratio is known then the conic fitting problem is solvednaturally by an eigensystem. For the general situation theconic curves are estimated using non-linear optimization.