Correction of image deformation from lens distortion using bezier patches
Computer Vision, Graphics, and Image Processing
Camera Calibration with Distortion Models and Accuracy Evaluation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Self-calibration from multiple views with a rotating camera
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Affine Structure from Line Correspondences With Uncalibrated Affine Cameras
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision - 1998 Marr Prize
A Theory of Single-Viewpoint Catadioptric Image Formation
International Journal of Computer Vision
Nonmetric Calibration of Wide-Angle Lenses and Polycameras
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiple view geometry in computer visiond
Multiple view geometry in computer visiond
Machine Vision and Applications
Creating Image-Based VR Using a Self-Calibrating Fisheye Lens
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Autocalibration and the absolute quadric
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Lens distortion calibration using point correspondences
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Panoramic Mosaicing with a 180° Field of View Lens
OMNIVIS '02 Proceedings of the Third Workshop on Omnidirectional Vision
Matching constraints and the joint image
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Distinctive Image Features from Scale-Invariant Keypoints
International Journal of Computer Vision
A Generic Camera Calibration Method for Fish-Eye Lenses
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 1 - Volume 01
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
Non-Parametric Self-Calibration
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision (ICCV'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
A Flexible Technique for Accurate Omnidirectional Camera Calibration and Structure from Motion
ICVS '06 Proceedings of the Fourth IEEE International Conference on Computer Vision Systems
Are two rotational flows sufficient to calibrate a smooth non-parametric sensor?
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
Parameter-Free Radial Distortion Correction with Center of Distortion Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Equidistant (fθ) fish-eye perspective with application in distortion centre estimation
Image and Vision Computing
Discrete camera calibration from pixel streams
Computer Vision and Image Understanding
Generic self-calibration of central cameras
Computer Vision and Image Understanding
Equidistant Fish-Eye Calibration and Rectification by Vanishing Point Extraction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Estimation of omnidirectional camera model from epipolar geometry
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Self-calibration of a general radially symmetric distortion model
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part IV
Plane-Based calibration and auto-calibration of a fish-eye camera
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part I
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
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The 1D radial camera maps all points on a plane, containing the principal axis, onto the radial line which is the intersection of that plane and the image plane. It is a sufficiently general model to express both central and non-central cameras, since the only assumption it makes is of known center of distortion. In this paper, we study the multi-focal tensors arising out of 1D radial cameras. There exist no two-view constraints (like the fundamental matrix) for 1D radial cameras. However, the 3-view and 4-view cases are interesting. For the 4-view case we have the radial quadrifocal tensor, which has 15 d.o.f and 2 internal constraints. For the 3-view case, we have the radial trifocal tensor, which has 7 d.o.f and no internal constraints. Under the assumption of a purely rotating central camera, this can be used to do a non-parametric estimation of the radial distortion of a 1D camera. Even in the case of a non-rotating camera it can be used to do parametric estimation, assuming a planar scene. Finally we examine the mixed trifocal tensor, which models the case of two 1D radial cameras and one standard pin-hole camera. Of the above radial multifocal tensors, only the radial trifocal tensor is useful practically, since it doesn't require any knowledge of the scene and is extremely robust. We demonstrate results based on real-images for this.For the quadrifocal tensor, too, we present a way to do a metric reconstruction of the scene and to undistort the image (given a sufficiently dense set of point-correspondences). We also show results on synthetic images. However, it must be noted that currently the quadrifocal and mixed trifocal tensors are useful only from a theoretical stand-point.