A Theory of Single-Viewpoint Catadioptric Image Formation
International Journal of Computer Vision
Paracatadioptric Camera Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Catadioptric Omnidirectional Camera
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Calibration of Panoramic Catadioptric Sensors Made Easier
OMNIVIS '02 Proceedings of the Third Workshop on Omnidirectional Vision
Visual Surveillance and Monitoring System Using an Omnidirectional Video Camera
ICPR '98 Proceedings of the 14th International Conference on Pattern Recognition-Volume 1 - Volume 1
Camera Models and Fundamental Concepts Used in Geometric Computer Vision
Foundations and Trends® in Computer Graphics and Vision
MMM'11 Proceedings of the 17th international conference on Advances in multimedia modeling - Volume Part I
On improved calibration method for the catadioptric omnidirectional vision with a single viewpoint
Multimedia Tools and Applications
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Unwarping an omni-directional image into a perspective-view one is easy for a single-viewpoint (SVP) designed catadioptric omni-directional camera. But misalignment between the components (such as the mirror and the lens) of this kind of camera creates multiple viewpoints and distorts the unwarped image if the SVP constraint is assumed. The SVP constraint is relaxed in this study and a systematic method is proposed to derive a set of new and general analytic equations for unwarping images taken from an omni-directional camera with a hyperbolic-shaped mirror (called a hypercatadioptric camera). The derivation is made possible by careful investigation on the system configuration and precise calibration of involved system parameters. As a verification of the correctness of the derived equations, some of the system parameters are adjusted to fit the SVP constraint, and unwarped images using the resulting simplified camera model are shown to be of no difference from those obtained by a method based on the SVP model. The generality of the proposed method so has extended the image-unwarping capability of the existing methods for the hypercatadioptric camera to tolerate lens/mirror assembly imprecision, which is difficult to overcome in most real applications. Some experimental results of image unwarping are also included to show the effectiveness of the proposed method.