A Theory of Single-Viewpoint Catadioptric Image Formation
International Journal of Computer Vision
A Flexible New Technique for Camera Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiple view geometry in computer visiond
Multiple view geometry in computer visiond
Machine Vision and Applications
Autocalibration from Planar Scenes
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
The Radial Trifocal Tensor: A Tool for Calibrating the Radial Distortion of Wide-Angle Cameras
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 1 - Volume 01
Multi-View Geometry of 1D Radial Cameras and its Application to Omnidirectional Camera Calibration
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Parameter-Free Radial Distortion Correction with Centre of Distortion Estimation
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Parameter-Free Radial Distortion Correction with Center of Distortion Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image alignment and stitching: a tutorial
Foundations and Trends® in Computer Graphics and Vision
A fast and automatic stereotactic registration with a single CT-slice
Computer Vision and Image Understanding
A Simple Method of Radial Distortion Correction with Centre of Distortion Estimation
Journal of Mathematical Imaging and Vision
Equidistant (fθ) fish-eye perspective with application in distortion centre estimation
Image and Vision Computing
Generic self-calibration of central cameras
Computer Vision and Image Understanding
Efficient generic calibration method for general cameras with single centre of projection
Computer Vision and Image Understanding
Calibration of vision systems based on pseudo-random patterns
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
Accurate Depth Dependent Lens Distortion Models: An Application to Planar View Scenarios
Journal of Mathematical Imaging and Vision
Camera Models and Fundamental Concepts Used in Geometric Computer Vision
Foundations and Trends® in Computer Graphics and Vision
Calibration of Central Catadioptric Cameras Using a DLT-Like Approach
International Journal of Computer Vision
International Journal of Computer Vision
Self-calibration of hybrid central catadioptric and perspective cameras
Computer Vision and Image Understanding
Analysis and evaluation of a general camera model
Computer Vision and Image Understanding
Multi-view structure-from-motion for hybrid camera scenarios
Image and Vision Computing
On the global self-calibration of central cameras using two infinitesimal rotations
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part IV
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
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We present a new approach for self-calibrating the distortion function and the distortion center of cameras with general radially symmetric distortion. In contrast to most current models, we propose a model encompassing fisheye lenses as well as catadioptric cameras with a view angle larger than 180°. Rather than representing distortion as an image displacement, we model it as a varying focal length, which is a function of the distance to the distortion center. This function can be discretized, acting as a general model, or represented with e.g. a polynomial expression. We present two flexible approaches for calibrating the distortion function. The first one is a plumbline-type method; images of line patterns are used to formulate linear constraints on the distortion function parameters. This linear system can be solved up to an unknown scale factor (a global focal length), which is sufficient for image rectification. The second approach is based on the first one and performs self-calibration from images of a textured planar object of unknown structure. We also show that by restricting the camera motion, self-calibration is possible from images of a completely unknown, non-planar scene. The analysis of rectified images, obtained using the computed distortion functions, shows very good results compared to other approaches and models, even those relying on non-linear optimization.