Multiple view geometry in computer vision
Multiple view geometry in computer vision
The Geometry of Multiple Images: The Laws That Govern The Formation of Images of A Scene and Some of Their Applications
Catadioptric Projective Geometry
International Journal of Computer Vision
Epipolar Geometry of Panoramic Cameras
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Catadioptric Omnidirectional Camera
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Ego-Motion and Omnidirectional Cameras
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
A Differential Geometric Approach to Multiple View Geometry in Spaces of Constant Curvature
International Journal of Computer Vision - Special Issue on Computer Vision Research at the Beckman Institute of Advanced Science and Technology
Fast and Stable Polynomial Equation Solving and Its Application to Computer Vision
International Journal of Computer Vision
Degeneracy of the Linear Seventeen-Point Algorithm for Generalized Essential Matrix
Journal of Mathematical Imaging and Vision
Epipolar geometry via rectification of spherical images
MIRAGE'07 Proceedings of the 3rd international conference on Computer vision/computer graphics collaboration techniques
Stochastically optimal epipole estimation in omnidirectional images with geometric algebra
RobVis'08 Proceedings of the 2nd international conference on Robot vision
Analytical forward projection for axial non-central dioptric and catadioptric cameras
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
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
| Hi-index | 0.01 |
The geometry of two uncalibrated views obtained with a parabolic catadioptric device is the subject of this paper. We introduce the notion of circle space, a natural representation of line images, and the set of incidence preserving transformations on this circle space which happens to equal the Lorentz group. In this space, there is a bilinear constraint on transformed image coordinates in two parabolic catadioptric views involving what we call the catadioptric fundamental matrix. We prove that the angle between corresponding epipolar curves is preserved and that the transformed image of the absolute conic is in the kernel of that matrix, thus enabling a Euclidean reconstruction from two views. We establish the necessary and sufficient conditions for a matrix to be a catadioptric fundamental matrix.